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School of Mathematics and Computational Science - Faculty of

VIEWS: 20 PAGES: 96

									Faculty of Science, Engineering & Technology

       SCHOOL OF MATHEMATICAL &
        COMPUTATIONAL SCIENCES




             2010 Prospectus




                     1                 2010
    Contents

1               School Administrative staff ...................................................................................................7
1.1             School academic staff ............................................................................................................7
1.1.1           Department of Applied Mathematics ...............................................................................7
1.1.1.1         Academic Staff ...........................................................................................................................7
1.1.1.2         Administrative & academic support staff.........................................................................7
1.2.2           Department of Mathematics ................................................................................................7
1.2.2.1         Academic Staff ...........................................................................................................................7
1.2.2.2         Administrative & academic support staff.........................................................................8
1.2.3           Department of Statistics ........................................................................................................8
1.2.3.1         Academic Staff ...........................................................................................................................8
1.2.3.2         Administrative & academic support staff.........................................................................8
1.3             Introduction & Welcome by the Director Of School ....................................................8
1.3.1           School campuses, sites and the new School concept .................................................8
1.3.2           Merger of legacy institutions ...............................................................................................9
1.3.3           Two Tier Governance Structure ...........................................................................................9
1.3.4           Academic focus of the School ..............................................................................................10
1.4             School Vision & Mission ..........................................................................................................10
1.5             School Rules ..............................................................................................................................10
1.5.2.5.1.7     Programme Rules .....................................................................................................................12
1.5.2.5.1.7.1   Admission Rules ........................................................................................................................12
1.5.2.5.1.7.2   Progression Rules......................................................................................................................12
1.5.2.5.1.7.3   Re-Admission of Continuing Students..............................................................................12
1.5.2.5.1.7.3   Exit Rules ......................................................................................................................................13
1.5.2.5.1.7.4   Completion Rules .....................................................................................................................13
1.5.2.5.1.7.5   Exclusion Rules ..........................................................................................................................13
1.5             Departments and Programmes ..........................................................................................13
1.5.1           Department of Applied Mathematics ...............................................................................13
1.5.1.1         Information about Department ..........................................................................................13
1.5.1.2         Mission of the Department ...................................................................................................14
1.5.1.3         Goals of the Department .......................................................................................................14
1.5.1.4         Student Societies in the Department ................................................................................14
1.5.1.5         Programmes In The Department ........................................................................................14
1.5.1.5.1       BSc Applied Mathematics ......................................................................................................14
1.5.1.5.1.1     Entrepeneurship & Professional Development of Students......................................14
1.5.1.5.1.2     Career Opportunities...............................................................................................................15
1.5.1.5.1.3     Purpose of Qualification.........................................................................................................15
1.5.1.5.1.4     Exit Level Outcomes of The Programme ..........................................................................15
1.5.2.5.2.8     Curriculum ..................................................................................................................................24
1.5.2.5.2.8     Core and Foundation Modules ...........................................................................................24
1.5.1.5.1.12    Award Of Qualification ...........................................................................................................26
1.5.1.5.1.13    Programme Tuition Fees .......................................................................................................26
1.5.1.5.1.14    Articulation .................................................................................................................................27
1.5.1.5.2.15    Core Syllabi Of Courses Offered .........................................................................................27
1.5.2           Department of Mathematics ................................................................................................28
1.5.2.1         Information about Department ..........................................................................................28
1.5.2.2         Mission of The Department ..................................................................................................29
1.5.2.3         Goals of the Department .......................................................................................................29
1.5.2.4         Student Societies in the Department ................................................................................30
1.5.2.5         Programmes In The Department ........................................................................................30
1.5.2.5.1       BSc Mathematics.......................................................................................................................30
1.5.2.5.1.1     Entrepeneurship & Professional Development of Students......................................30


 [ Mathematical & Computational Sciences ]                                   2
1.5.2.5.1.2     Career Opportunities...............................................................................................................30
1.5.2.5.1.3     Purpose of Qualification.........................................................................................................30
1.5.2.5.1.4     Exit Level Outcomes of The Programme ..........................................................................30
7.1.5.1.6       Programme Characteristics ...................................................................................................31
7.1.5.1.6.2     Academic and Research Orientated Study .....................................................................31
7.1.5.1.6.3     Practical Work.............................................................................................................................31
7.1.5.1.6.4     Teaching and Learning Methodology ..............................................................................31
1.5.1.5.1.7     Programme Information .......................................................................................................31
1.5.1.5.1.6.3   Minimum Admission Requirements ..................................................................................31
1.5.1.5.1.6.4   Selection criteria for new students.....................................................................................32
1.5.1.5.1.7     Programme Rules .....................................................................................................................32
1.5.1.5.1.7.1   Admission Rules ........................................................................................................................32
1.5.1.5.1.7.4   Progression Rules......................................................................................................................32
1.5.1.5.1.7.5   Re-Admission of Continuing Students..............................................................................32
1.5.2.5.1.7.3   Exit Rules ......................................................................................................................................32
1.5.2.5.1.7.4   Completion Rules .....................................................................................................................32
1.5.1.5.1.7.5   Exclusion Rules ..........................................................................................................................33
1.5.1.5.1.8     Curriculum ..................................................................................................................................33
1.5.1.5.1.8     Core and Foundation...............................................................................................................33
1.5.2.5.1.10    Pre-Requisite Courses .............................................................................................................35
1.5.2.5.1.12    Award Of Qualification ...........................................................................................................36
1.5.2.5.1.13    Programme Tuition Fees .......................................................................................................36
1.5.2.5.1.14    Articulation .................................................................................................................................36
1.5.2.5.1.15    Core Syllabi of Courses Offered ..........................................................................................36
1.5.2.5.4       MSc Mathematics ....................................................................................................................48
1.5.2.5.4.1     Entrepeneurship & Professional Development of Students......................................48
1.5.2.5.4.2     Career Opportunities...............................................................................................................49
1.5.2.5.4.3     Purpose of Qualification.........................................................................................................49
1.5.2.5.4.4     Exit Level Outcomes of The Programme ..........................................................................49
7.1.5.1.6       Programme Characteristics ...................................................................................................49
7.1.5.1.6.2     Academic and Research Orientated Study .....................................................................49
7.1.5.1.6.3     Practical Work.............................................................................................................................49
7.1.5.1.6.4     Teaching and Learning Methodology ..............................................................................49
1.5.2.5.4.6     Programme Information .......................................................................................................50
1.5.2.5.4.6.1   Minimum Admission Requirements ..................................................................................50
1.5.2.5.4.6.2   Selection criteria for new students.....................................................................................50
1.5.2.5.4.7     Programme Rules .....................................................................................................................50
1.5.2.5.4.7.1   Admission Rules ........................................................................................................................50
1.5.2.5.4.7.2   Progression Rules......................................................................................................................50
1.5.2.5.4.7.2   Re-Admission of Continuing Students..............................................................................50
1.5.2.5.4.7.3   Exit Rules ......................................................................................................................................50
1.5.2.5.4.7.4   Completion Rules .....................................................................................................................50
1.5.2.5.4.7.5   Exclusion Rules ..........................................................................................................................50
1.5.2.5.4.8     Curriculum ..................................................................................................................................50
1.5.1.5.1.8     Core and Foundation Modules ............................................................................................51
1.5.2.5.4.11    Available Topics/areas of research ......................................................................................51
1.5.2.5.4.12    Award Of Qualification ...........................................................................................................51
1.5.2.5.4.13    Programme Tuition Fees .......................................................................................................51
1.5.2.5.4.14    Articulation .................................................................................................................................51
1.5.3           Department of Statistics ........................................................................................................51
1.5.3.1         Information about Department .........................................................................................51
1.5.3.2         Mission of The Department ..................................................................................................52
1.5.3.3         Goals of the Department .......................................................................................................52
1.5.3.4         Student Societies in the Department ................................................................................52
1.5.1.5         Programmes In The Department ........................................................................................52
1.5.3.5.1       BSc Applied Statistical Science ............................................................................................52

                                                                             3                                                                         2010
1.5.3.5.1.1     Entrepeneurship & Professional Development of Students......................................52
1.5.3.5.1.2     Career Opportunities...............................................................................................................53
1.5.3.5.1.3     Purpose of Qualification.........................................................................................................53
1.5.3.5.1.4     Exit Level Outcomes of The Programme ..........................................................................53
7.1.5.1.6       Programme Characteristics ...................................................................................................53
7.1.5.1.6.2     Academic and Research Orientated Study .....................................................................53
7.1.5.1.6.3     Practical Work.............................................................................................................................54
7.1.5.1.6.4     Teaching and Learning Methodology ..............................................................................54
1.5.3.5.1.6     Programme Information .......................................................................................................54
1.5.1.5.1.6.5   Minimum Admission Requirements ..................................................................................54
1.5.1.5.1.6.6   Selection criteria for new students.....................................................................................55
1.5.3.5.1.7     Programme Rules .....................................................................................................................55
1.5.3.5.1.7.1   Admission Rules ........................................................................................................................55
1.5.2.5.4.7.2   Progression Rules......................................................................................................................55
1.5.2.5.4.7.2   Re-Admission of Continuing Students..............................................................................55
1.5.3.5.1.7.3   Exit Rules ......................................................................................................................................55
1.5.3.5.1.7.4   Completion Rules .....................................................................................................................55
1.5.3.5.1.7.5   Exclusion Rules ..........................................................................................................................55
1.5.3.5.1.8     Curriculum ..................................................................................................................................56
1.5.1.5.1.8     Core and Foundation...............................................................................................................56
1.5.3.5.1.10    Pre-Requisite Subjects ............................................................................................................58
1.5.3.5.1.12    Award Of Qualification ...........................................................................................................58
1.5.3.5.1.13    Programme Tuition Fees .......................................................................................................59
1.5.3.5.1.14    Articulation .................................................................................................................................59
1.5.3.5.1.15    Core Syllabi of Subjects Offered .........................................................................................59




 [ Mathematical & Computational Sciences ]                                   4
1                     School Administrative staff
Director                     Prof. SN Mishra, MSc, D.Phil (Allahabad)
School Officer               Vacant
Secretary                    Vacant

1.1                   School academic staff

1.1.1                 Department of Applied Mathematics
1.1.1.1               Academic Staff
Professor                              Vacant
Acting HOD/Senior Lecturer             Dr W Sinkala, BSc (UNZA), MSc (UZ), PhD (UKZN)
Senior Lecturer                        Dr M Chaisi, BSc (NUL), MSc (Wales), PhD (UKZN)
Senior Lecturer                        Vacant

1.1.1.2               Administrative & academic support staff
None

1.2.2                 Department of Mathematics

1.2.2.1               Academic Staff
Professor                             Prof. SN Mishra MSc, D.Phil (Allahabad)
Associate Professor                   Prof. SN Singh, MSc (Physics, Gorakhpur), MSc,
                                      PhD, (Maths BHU-Varanasi)
Site HOD / Senior Lecturer            Mr MS Majova, BSc, HED, BSc(Hons)(Unitra)
Senior Lecturer                       Mr B Chapman,BSc, UEd, Bed(Rhodes), Dip.
                                      Institute mathematics & Science Teaching
                                      (Stell), FDE Mathematics (RAU), PGDHE (Rhodes)
Senior Lecturer                       Vacant
Lecturer                              Mr AS Grewal, BSc,B.Ed (Punjab), M.Ed(Cum
                                      Laude)(UDW)
Lecturer                              Mrs RM Panicker, BSc, B.Ed,MSc(M.G. Univ.
                                      Kerala)
Acting HOD / Lecturer                 Mr W Mbava, BSc, BSc (Hons),MSc (UZ)
Lecturer                              Mrs P Stofile, BSc, BSc (Hons)HDE(Unitra)
Lecturer                              Ms F Tonjeni, BSc,BSc (Hons)(Unitra)
Lecturer                              Mr S Stofile, BSc, BSc (Hons),MSc(Unitra)
Lecturer                              Mrs J Coetzee, BSc (Hons)(UNISA),
                                      BSc(UP),HDE(UNISA), B.Ed(RAU), MSc (Math. Ed)
                                       (UNISA)

                                          5                                  2010
Lecturer                                     Ms M Mbebe, MBA (NMMU),
                                             BSc(RHODES),BSc(HONS)(UWC)
Site HOD /Lecturer                           Ms Z Mbinda, MBA (NMMU), Bcom (UWC), Bcom
                                             (Hons) (UWC), Cert Prac Proj Mgt
                                             (RHODES)
Lecturer                                     Mr M Mofoka,BSc (UFH), BSc (HONS)(UFH),NTD
                                             MECHENG
Lecturer                                     Ms L Bester,BSc (UP), BSc (HONS)(UP)
Lecturer                                     Mrs E Oberholster, MED (RHODES), BCOM
                                             (UNISA), BED (UCT), UED (RHODES), BSC (RHODES)
Lecturer                                     Mr B Mtiya, BSc HONS (UFH), BSc (UFH)
Lecturer                                     Mrs LS Abraham, BSc,MSc, Bed (MG
                                             University)
Lecturer                                     Vacant
Junior Lecturer                              Mr VB Lucwaba (Mathematics) BSc,Hons
                                             (Unitra)

1.2.2.2 Administrative & academic support staff
           None

1.2.3 Department of Statistics

1.2.3.1 Academic Staff
Associate Professor                          Prof. K. W. Binyavanga, BSc.Hons, MA (Dar es
                                             Salaam), PhD (Stellenbosch)
Acting HOD/Lecturer                          Mr J. S. Nasila, BSc (University of Madras), Post
                                             Bacc. Diploma (SFU)
                                             MSc. (Simon Fraser University)
Lecturer                                     Mr K. N. Maswanganyi, BSc, BSc Hons, MSc (Univ.
                                             Venda)
Junior Lecturer                              Mr L Majeke, BSc.Hons (Unitra)
Junior Lecturer/Part-time                    Ms N. M. Matsolo BSc (Unitra)


1.2.3.2 Administrative & academic support staff
None

1.3        Introduction & Welcome by the Director Of School

1.3.1 School campuses, sites and the new School concept


 [ Mathematical & Computational Sciences ]       6
The School of Mathematical and Computational Sciences extends over three campuses
Walter Sisulu University, Mthatha, Butterworth and Buffalo City, and comprises three
departments, namely, Applied Mathematics, Mathematics and Statistics. The school
offers degree programmes at the levels of BSc, BSc (Hons) and MSc in the respective
departments. The following is a summary of programmes that are offered by the School
of Mathematical and Computational Sciences.

                                                                    Duration    Duration    Delivery
 Department                 Programmes offered
                                                                    Full-time   Part-time   Sites
 Department of Applied      BSc Applied Mathematics – EDP*          4yrs        N/A         NMD
 Mathematics
                            BSc Applied Mathematics                 3yrs        N/A         NMD
                            Honours BSc Applied Mathematics         1yr         3 yrs       NMD
                            MSc                                     2yrs        4 yrs       NMD
 Department of              BSc Mathematics - EDP                   4yrs        N/A         NMD
 Mathematics
                            BSc Mathematics                         3yrs        N/A         NMD
                            Honours BSc Mathematics                 1yr         3 yrs       NMD
                            MSc Mathematics                         2yrs        4 yrs       NMD
 Department of Statistics   BSc Applied Statistical Science - EDP   4yrs        N/A         NMD
                            BSc Applied Statistical Science         4yrs        N/A         NMD
                            Honours BSc Statistical Science         3yrs        3 yrs       NMD
                            MSc Statistical Science                 2yrs        4 yrs       NMD
* EDP: Extended Degree Programme.

1.3.2 Merger of legacy institutions
Walter Sisulu University was formed on 1 July 2005 through the merger of Border
Technikon, Eastern Cape Technikon and the University of Transkei (Unitra). The business
of two of the departments in the School of Mathematical and Computational Sciences,
Applied Mathematics and Statistics, is confined to the NMD site, Mthatha, while that of
the department of mathematics extends beyond NMD to Ibika, (Butterworth) Potsdam,
Chiselhurst and College Street sites (East London).

1.3.3 Two Tier Governance Structure
All the major programmes offered in the school are located at the Nelson Mandela
Drive (NMD). Site. In Buffalo City (Potsdam, Chiselhurst and College Street) and Ibika
(Butterworth) the courses offered are essentially service courses to engineering
programmes. HODs for the respective departments are stationed at NMD, and are
assisted by site HODs at other delivery sites. HODs report to the Director of the School
of Mathematical and Computational Sciences, who as academic head oversees the
academic programmes within the respective departments.




                                                      7                                        2010
1.3.4 Academic focus of the School
The academic focus of the school is informed by the recognition of the scarcity in South
Africa of skills in Mathematical Sciences. The programmes offered in the school are
therefore designed to provide training in various disciplines of mathematical sciences,
with the aim of preparing students for placement in jobs requiring a significant tertiary
level maturity in Mathematical Sciences, and for further training at a higher level in their
areas of specializations.

1.4        School Vision & Mission

Vision Of The School
The School of Mathematical and Computational Sciences will be a leading school that
offers innovative educational and research programmes in mathematical sciences and
their computational applications.

Mission Of The School
In pursuit of its vision, the school will

      •	   provide a modern educational environment supported by appropriate
           technology for instruction and research;
      •	   design innovative programmes in teaching and research that will produce
           highly skilled graduates;
      •	   have a caring approach to the teaching of mathematical sciences courses and
      •	   create an environment to engage in solving real-world problems and societal
           challenges;


1.5        School Rules

           General
Students should note that on registration to study at Walter Sisulu University, they
automatically become members of the University and agree to abide by the rules and
regulations of Walter Sisulu University as amended from time to time and for which
further details are available in the general University prospectus.




 [ Mathematical & Computational Sciences ]   8
Class attendance
    •	   All lectures, including tutorials and laboratory work are compulsory.
    •	   Students should at all times be punctual in attending classes.
    •	   Lecturers will keep a register of class attendance by students, which is used as
         part of the assessment of student performance.


Semester tests, lab work and handing in of assignments

    •	   Students who are absent from semester assessments or who fail to submit
         assessments before or on the due date, will receive a zero mark for that
         assessment.
    •	   If the lecturer is provided with a signed certificate within 7 days after the
         assessment from a medical practitioner to confirm that he/she was ill and/or
         incapacitated the assessment will be re-administered.
    •	   Major semester assessments missed will be re-administered by departmental
         arrangement.


         Course Evaluation

    •	   Students will be required to complete Evaluation forms on Course Offering &
         Instructor for each subject at the end of the course.


Code of conduct
The following code of conduct forms part of the way the work within the school is
envisaged:

    •	   That the main focus is for students to study & learn;
    •	   that the lecturer and students will take joint responsibility in ensuring that
         classes are conducted in an environment conducive to learning;
    •	   to promote such a learning environment the students & lecturer;
            •	   undertake to be respectful to lecturers and other students;
            •	   commit themselves to perform the work in a diligent and responsible
                 manner;
            •	   understand that students are encouraged to ask questions and get
                 feedback;


                                           9                                     2010
               •	   undertake to be punctual in attendance of all learning/teaching
                    activities;
               •	   undertake to keep venues clean & tidy and agree not to eat or litter
                    inside the classroom and
               •	   undertake to take care of the documentation & equipment issued and
                    of the equipment that are used in practicals or in the classroom.


Programme Credit Registrations
At any level a student must take all the core modules and foundational modules at
each level. Electives for which the student has the required pre-requisites must then
be chosen so that the student has a minimum of 120 credits at each level. However, no
student may register for more than 128 credits in any given academic year.

Programme Rules

Admission Rules
Admission into the programme is contingent upon:

      •	   Meeting the minimum requirements for admission to the programme;
      •	   selection into the programme, (selection is limited by enrolment limits);
      •	   admission on a first come first served basis for students who qualify in terms of
           selection criteria;
      •	   not more than 50% of the courses from other institutions will be recognised
           and
      •	   all exit level courses will only be exmpted under extraneous conditions.


See also see General Prospectus Rules.

Progression Rules

Re-Admission of Continuing Students
      •	   Refer to the institutional rules on re-admission of students previously admitted
           as contained in the revised examination policy and the institution prospectus.
      •	   In addition to the above the follow-on rules for re-admission will apply:
               •	   Student must complete at least 50% of the courses/module in one
                    level of the programme before they are allowed to enrol for courses at
                    the next level;

 [ Mathematical & Computational Sciences ]   10
              •	   enrolment is permittivity inly for a maximum of two consecutive level
                   of the programme;
              •	   enrolment of courses/module that clash on the time-table is not
                   permittivity and where such enrollee have been done, the hither level
                   course will be de-registered automatic ally and
              •	   a student who fails the same course twice is not allowed to re-register
                   for the same course.


Exit Rules

Completion Rules
All courses and modules in the curriculum must be completed.
A minimum of 120 credits must be earned at each level of the curriculum.
A minimum total of 360 credits must be completed for the three year programs.
A minimum total of 480 credits must be completed for the four year programs.

Exclusion Rules
The maximum period allowed for all degree programmes is equal to the minimum
period plus two additional years. See also see Rules in the General Prospectus.

1.5       Departments and Programmes

1.5.1 Department of Applied Mathematics

1.5.1.1 Information about Department
Applied mathematics is in a sense the cornerstone of modern science as it is concerned
with the use of mathematical techniques to solve real-world problems. Consistent with
this philosophy, the BSc programme offered in the Department of Applied Mathematics
is designed to provide the necessary foundation in mathematics and to introduce
students to the application of mathematics in the modeling and solution of real-world
problems. More information on the BSc programme is presented below.
                                                        Minimum/    Minimum/
                                                                                Delivery
 Department            Programmes offered               Maximum     Maximum
                                                                                Sites
                                                        Full-time   Part-time
 Applied Mathematics   BSc Applied Mathematics - EDP    4yrs/6yrs   N/A         NMD
 Applied Mathematics   BSc Applied Mathematics          3yrs/5yrs   N/A         NMD
 Applied Mathematics   BSc Honors Applied Mathematics   1yrs/3yrs   3yrs/5yrs   NMD
 Applied Mathematics   MSc                              2yrs/4yrs   4yrs        NMD


                                                 11                              2010
1.5.1.2                Mission of the Department
The mission of the Department of Applied Mathematics includes:
    •	 Creating a mathematically rich environment for the development of sufficiently
        sophisticated scientists, engineers and teachers of mathematics;
      •	   conducting and promoting research that addresses the local, regional as well
           as national priorities;
      •	   popularizing mathematics through innovative teaching methods and constant
           communication with other interfacing departments and
      •	   continually streamlining our programmes to align them with the demands of
           industry and commerce.


1.5.1.3                Goals of the Department
The goals of the Department of Applied Mathematics are:
    •	 To produce quality graduates capable of dynamic participation in the
        economic and environmental development of the region and beyond;
      •	   to work closely with our community attempt to solve some of the problems
           and ensure that the programmes are always relevant to their needs and
      •	   through a commitment to service excellence, staff development and the
           maximum use of human and other resources, the Department of Mathematics
           strives to unite students, staff and employers in the common goal of improving
           the quality of life of our community.


1.5.1.4                Student Societies in the Department
           Science Students Society

1.5.1.5                Programmes In The Department

1.5.1.5.1              BSc Applied Mathematics

1.5.1.5.1.1            Entrepeneurship & Professional Development
                       of Students
Mathematics is a scarce skill in South Africa and is crucial to the scientific and
technological development that leads to economic development of the country. In
view of this, the long term plan of the department envisages the establishment of
a linkage between the department and industry and commerce.


 [ Mathematical & Computational Sciences ]   12
1.5.1.5.1.2         Career Opportunities
A Bachelor of Science degree in Applied Mathematics will prepare the student for
jobs in statistics, actuarial sciences, mathematical modeling, and cryptography; for
teaching; as well as postgraduate training leading to a research career in a discipline of
Mathematical Sciences. A strong background in Applied Mathematics is also necessary
for research in many areas of computer science, social science, and engineering.

1.5.1.5.1.3         Purpose of Qualification
To provide basic mathematical knowledge tailored for application in the solution of
technical problems in the marketplace, and for further training at a higher level in
various specializations of Applied Mathematics.

1.5.1.5.1.4         Exit Level Outcomes of The Programme
A BSc Applied Mathematics graduate should:
     •	 Demonstrate knowledge and understanding of basic concepts and principles
        in mathematics;
     •	   have a sound mathematical basis for further training in mathematics and/or
          other fields of study that require a mathematical foundation;
     •	   develop a culture of critical and analytical thinking and be able to apply
          scientific reasoning to societal issues;
     •	   demonstrate ability to write mathematics correctly;
     •	   be able to manage and organize own learning activities responsibly and
     •	   be able to demonstrate ability to solve mathematical problems.


Programme Characteristics

Academic and Research Orientated Study
The programme is mainly academic and research orientated because academic
study is combined with related practical work aimed at developing more conceptual
mathematical than computational outcomes. The courses in this programme are
developed co-operatively using inputs from internal and external academic sources on
a continuous basis.

Practical Work
Practical work in tutorials and computer laboratories provides the practical experience
and the development of computing and research skills that will form the basis of future
work, academic and research engagement.

                                           13                                    2010
Teaching and Learning Methodology
Learning activities include lectures, tutorials, practicals in which in which independent
study are integrated.

Programme Information
The entire programme is designed to consist of at least 50% of the credits from
Mathematics and/or Applied Mathematics.

Minimum Admission Requirements
 National Senior Certificate
 Minimum Accumulated        Required NSC Subjects                Recommended                  Other
 Point Score                (Compulsory)                         NSC Subjects (Not
                                                                 Compulsory)

 29                         Achievement rating of at
                            least level 4 (50% – 59%) in
                            Mathematics, Physical Sciences,
                            English, Life Orientation and two
                            other subjects.
 Senior Certificate
 Symbol D in Mathematics and Physical Science at Standard Grade or Symbol E in Mathematics and Physical
 Science at Higher Grade.
 FET Colleges
 National Certificate: A certificate with C-symbols for at least four subjects including Mathematics, Physical
 Sciences and language requirements for the Senior Certificate.
 Recognition of prior learning (RPL)
 RPL may be used to demonstrate competence for admission to this programme. This qualification may be
 achieved in part through RPL processes. Credits achieved by RPL must not exceed 50% of the total credits
 and must not include credits at the exit level.
 INTERNATIONAL STUDENTS
 Applications from international students are considered in terms of institutional equivalence reference
 document submission of international qualification to SAQA for benchmarking in terms of HEQF
 MATURE AGE ENDORSEMENT
 As per General Prospectus Rule G1.6.



Selection criteria for new students
Selection of new students will be based on scores in Mathematics, English and Physical
Science. Students with scores in these subjects higher than the minimum requirements
will be selected into programmes in Mathematics. Other students will be considered on
the basis of their performance in the SATAP tests and on the basis of the RPL portfolios.
Students who are not selected into this programme will be offered spaces in the
extended programme.

 [ Mathematical & Computational Sciences ]            14
Programme Rules

Admission Rules
Admission into the programme is contingent upon:
    •	 Meeting the minimum requirements for admission to the programme;
     •	   selection into the programme. Selection is limited by enrolment limits;
     •	   admission on a first come first served basis for students who qualify in terms of
          selection criteria;
     •	   not more than 50% of the courses from other institutions will be recognised and
     •	   all exit level courses will only be exmpted under extraneous conditions.


See also see General Prospectus Rules.

Progression Rules
Re-Admission of Continuing Students
See School rules for the Re-Admission of Continuing Students

Exit Rules
Completion Rules
See School rules for the completion of programmes in the school.

Exclusion Rules
See School rules for exclusion from the programme programmes in the school. In
addition students who are excluded from core course/modules and can therefore not
complete the programme will be excluded.

Curriculum
Student must take all the Core modules and Foundational modules at each level.
Relevant electives for which the student has the required pre-requisites must then be
chosen so that the student has a minimum of 120 credits at each level. However, no
student may register for more than 128 credits in any given academic year.




                                           15                                     2010
1.5.1.5.1.8                Core and Foundation Modules
Level 1
Module Name                                      Code      Credits   Semester
Core Modules
Precalculus & Calculus I                         MAT1101   16        1
Introduction to Linear & Vector Alg.             APM1101   16        1
Precalculus & Calculus II                        MAT1201   16        2
Linear Programming & Applied Computing           APM1201   16        2
Foundation Modules
Computer Literacy                                CLT1101   8         1
Communication Skills                             EDU1001   8         1
Total core credits                                         80        1&2
Electives required                                         40        1&2
Total credits                                              120       1&2
Level 2
Module Name                                      Code      Credits   Semester
Multivariable Calculus                           MAT2101   8         1
Ordinary Differential Equations                  MAT2201   8         1
Numerical Analysis I                             APM2101   16        1
Real Analysis I                                  MAT2102   8         2
Linear Algebra I                                 MAT2202   8         2
Eigenvalue Problems and Fourier Analysis         APM2201   16        2
Total core credits                                         64        1&2
Electives required                                         56        1&2
Total credits                                              120       1&2
Level 3
Module Name                                      Code      Credits   Semester
Numerical Methods                                APM3101   16        1
Complex Analysis                                 MAT3202   16        2
Mathematical Programming                         APM3201   16        2
Linear Algebra II                                MAT3102   16        1
Total core credits                                         64        1&2
Electives required                                         56        1&2
Total credits                                              120       1&2




[ Mathematical & Computational Sciences ]   16
1.5.1.5.1.8                Electives
Level 1
Module Name                                          Code      Credits   Semester
General Chemistry I                                  CHE1101   16        First
Information Systems and Applications                 CSI1101   8         First
Problem Solving and Programming                      CSI1102   8         First
General Physics I                                    PHY1101   16        First
Probability & Distribution Theory I                  STA1101   16        First
General Chemistry I                                  CHE1201   16        Second
Problem Solving and Programming                      CSI1201   8         Second
General Physics II                                   PHY1202   16        Second
Probability & Statistical Inference I                STA1202   16        Second
Level 2
Module Name                                          Code      Credits   Semester
Mechanics I                                          APM2202   16        1
Analytical Chemistry II                              CHE2102   16        1
Physical Chemistry II                                CHE2105   16        First
Programming in JAVA                                  CSI2101   14        First
Mechanics & Waves                                    PHY2101   16        First
Probability & Distribution Theory II                 STA2101   16        First
Inorganic Chemistry II                               CHE2203   16        Second
Organic Chemistry II                                 CHE2204   16        Second
Thermodynamics and Modern Physics                    PHY2202   16        Second
Operating Systems                                    CSI2201   14        Second
Statistical Inference II                             STA2202   16        Second
Level 3
Module Name                                          Code      Credits   Semester
Inorganic Chemistry III                              CHE3103   16        First
Organic Chemistry III                                CHE3104   8         First
Introduction to Artificial Intelligence              CSI3101   14        First
Software Engineering I                               CSI3102   14        First
Electromagnetism and Quantum Mechanics               PHY3101   24        First
Linear Models                                        STA3101   16        First
Analytical Chemistry III                             CHE3202   16        Second
Physical Chemistry III                               CHE3205   16        Second
Environmental Chemistry – 2003                       CHE3207   12        Second
Data Management                                      CSI3201   14        Second
Software Engineering II                              CSI3202   14        Second
Statistical Mechanics and Solid State Physics        PHY3202   24        Second
Sampling Theory                                      STA3203   16        Second


                                                17                           2010
1.5.2.5.1.10 Pre-Requisite Courses
 Code        Course Name                                 Pre-Requisite
             Level I
 MAT1101     Precalculus & Calculus I                    FACULTY admission requirements
 APM1101     Introduction to Linear & Vector Alg.        FACULTY admission requirements
 MAT1201     Precalculus & Calculus II                   FACULTY admission requirements
 APM1201     Linear Programming & Applied Computing      Introduction to Linear & Vector Algebra
                                 Level II
 MAT2101     Multivariable Calculus                      Precalculus & Calculus I, Precalculus & Calculus II
 MAT2201     Ordinary Differential Equations             Precalculus & Calculus I, Precalculus & Calculus II
 APM2101     Numerical Analysis I                        All Level I courses
 MAT2102     Real Analysis I                             Precalculus & Calculus I, Precalculus & Calculus II
 MAT2202     Linear Algebra I                            Precalculus & Calculus I, Precalculus & Calculus II
 APM2201     Eigenvalue Problems and Fourier Analysis    All Level I courses
 APM2202     Mechanics I                                 All Level I courses
                                 Level III
 MAT3101     Real Analysis II                             Multivariable Calculus, Real Analysis I, Linear
                                                         Algebra I
 MAT3102     Linear Algebra II                           Multivariable Calculus, Real Analysis I, Linear
                                                         Algebra I
 APM3101     Numerical Methods                           All Level II courses except Mechanics I
 MAT3201     Abstract Algebra                            Multivariable Calculus, Real Analysis I, Linear
                                                         Algebra I
 MAT3202     Complex Analysis                            Multivariable Calculus, Real Analysis I, Linear
                                                         Algebra I
 APM3201     Mathematical Programming                    All Level II courses except Mechanics I



1.5.1.5.1.12 Award Of Qualification
The qualification will be awarded after the satisfaction of the programme requirements,
including completion of 360 credits with a minimum of 120 credits obtained at each
level. See also see Rule G12 of the General Prospectus.


1.5.1.5.1.13 Programme Tuition Fees
Students are referred to the Walter Sisulu University institutional Fee Booklet for costs of
tuition fees, application fees, registration fees, late registration-fees and other student
fees.




 [ Mathematical & Computational Sciences ]          18
1.5.1.5.1.14            Articulation
Vertical
Vertical Articulation is possible with: BSc Hons Mathematics and BSc Hons Applied Mathematics, NQF Level
8
Horizontal
Within WSU
Horizontal Articulation is possible with possible with NQF Level 7 qualifications offered by WSU, e.g. BSc
Applied Statistical Science, NQF Level 7, course to the admission requirements of that qualification.
Other Universities
Horizontal Articulation is possible with NQF Level 7 qualifications offered by such institutions, subject to the
relevant institution’s admission requirements.



1.5.1.5.1.15 Core Syllabi of Subjects Offered

APM1101: Introduction to Linear and Vector Algebra
Module Code            Module Name            NQF Level              Credits                Semester
APM1101                                       7                      16                     1
Lectures per week      Pracs per week         Tutorials per week     Number of weeks        Notional hours
4 x 50 min                                    1 x 100 min            13

Content / Syllabus     Introduction to Systems of Linear Equations, Gaussian Elimination, Matrices and
                       Matrix Operations, Inverses Systems of Equations and Invertibility, Determinant,
                       Cramer’s rule, Eigenvalues and Eigenvectors, LU-Decomposition, Cryptography,
                       Sets and Set Operations, The Fundamental Counting Principle, Permutations,
                       Combinations, The Binomial Theorem, Basic Concepts of Probability, Probability
                       Models, Vectors and Vector Operations, The Dot Product, The Cross Product,
                       Applications to Mechanics. Laboratory Work on Vectors and Linear Algebra with
                       MATLAB.
Assessment             Year mark (DP) will be obtained assessments based on assignments and tests. Final
                       mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



APM1201: Linear Programming
Module Code            Module Name            NQF Level              Credits                Semester
APM1201                                       7                      16                     2

Lectures per           Pracs per week         Tutorials per week     Number of weeks        Notional hours
week
4 x 50 min                                    1 x 100 min            13




                                                      19                                               2010
Content / Syllabus   Boolean Algebra: Introduction Two-Terminal Circuit Series-Parallel and Bridge
                     Circuits Postulates of Switching Circuits Boolean Identities Identity Elements, Inverses
                     and Cancellations. Linear programming: Introduction, LP Models, The Diet Problem,
                     The Work-Scheduling Problem, A Capital Budgeting Problem, Short-term Financial
                     Planning, Blending Problems, Production Process Models, Multi-period Decision
                     Problems: An Inventory Model, Multi-period Financial Models, Multi-period Work
                     Scheduling, The Graphical Method, The Simplex Method – Maximization, The Simplex
                     Method – The Dual, The Simplex Method – Mixed Constraints
                     Applied computing. Introduction to MATLAB. Laboratory Work with MATLAB
                     involving manipulating Matrices, Linear Algebra, Linear Programming.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



APM2101: Numerical Analysis I
Module Code                Module Name         NQF Level              Credits              Semester
APM2101                                        7                      16                   1

Lectures per week          Pracs per week      Tutorials per week     Number of weeks      Notional hours

4 x 50 min                                     1 x 100 min            13
Content / Syllabus         Introduction to numerical analysis: Iterative Methods, Programming with
                           MATLAB, Interpolation and polynomial approximation: Difference Operators,
                           Constructing Difference Tables using MATLAB, Lagrange Polynomial
                           Interpolation, Hermite Interpolation, Divided Differences, Hermite Revisited,
                           Error Estimation, Numerical differentiation and integration: Differentiation,
                           integration, Newton-Cotes Formulae, Composite Integration. Initial value
                           problems, Existence Theorem, Euler Method, Higher Order Taylor Methods,
                           Runge-Kutta Methods, Midpoint Rule, Higher Order R-K Methods, Multistep
                           Methods, Adams-Bashforth Technique, Adams-Moulton Technique, Predictor
                           Corrector Method
Assessment                 Year mark (DP) will be obtained assessments based on assignments and tests.
                           Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



APM2201: Eigen-Value Problems and Fourier Analysis
Module Code              Module Name           NQF Level              Credits             Semester
APM2201                                        7                      16                  1

Lectures per week        Pracs per week        Tutorials per week     Number of           Notional hours
                                                                      weeks

4 x 50 min                                     2 x 50 min             13




[ Mathematical & Computational Sciences ]          20
Content / Syllabus       Fourier Series: Orthogonality & Normality (Orthonomality) of trigonometric
                         functions, Odd & Even functions, Trigonometric series: Full range & Half
                         range Fourier Series, Parseval Identity. Partial Differential Equations: How
                         initial & boundary value problem relate to (PDEs),Wave Equation, Heat
                         Equation, Laplace Equation, How the separation of variables technique
                         leads (in the simplest examples) to Fourier Series. Eigenvalue Problems:
                         Sturm-Liouville Equation eigenfuctions & corresponding eigenvalues of
                         Sturm-Liouville problem, Sturm-Liouville problem for equation y¢¢+ly
                         =0 (eigenvalues & eigenfunctions), Orthogonality of Sturm-Liouville
                         eigenfunctions, Series solution Ordinary Differential Equations: Bessel,
                         Legendre, Hermite and associated functions, Solution of Bessell Equation,
                         recurrence relations, Solution of Legendre equation: Legendre polynomials
                         & Rodrigues formulae, Green formulae and application to Laplace
                         equation, Vibration of rectangular & circular membrane, Fourier integral &
                         transformation
Assessment               Year mark (DP) will be obtained assessments based on assignments and tests.
                         Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



APM2202: Mechanics I
Module Code          Module Name           NQF Level             Credits               Semester
APM2202              Mechanics I           7                     16                    1
Lectures per week    Pracs per week        Tutorials per week    Number of weeks       Notional hours
4 x 50 min                                 1 x 100 min           13

Content / Syllabus   Particle kinematics in three dimensions. Curvilinear coordinates; spherical and
                     cylindrical. Newton’s law of motion. Conservation of energy. Gravitational and
                     potential theory. Conservation of linear momentum. Collisions. Conservation of
                     angular momentum. Central forces and planetary motion.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



APM3101: Numerical Methods
Module Code          Module Name           NQF Level             Credits               Semester
APM3101                                    7                     16                    1
Lectures per week    Pracs per week        Tutorials per week    Number of weeks       Notional hours
4 x 50 min                                 1 x 100 min           13

Content / Syllabus   Laplace & Poisson equations: Elliptic, Heat equations-Parabolic, Wave equations-
                     Hyperbolic. Finite difference method: Replacement of partial derivatives in a given
                     equation by corresponding finite difference quotients. Further treatment of the
                     patterns lead us to: Gauss-Seidel Method for Elliptic case. Crank Nicholson Method
                     for Parabolic equations. Present Numerical Method for Parabolic equations. The Finite
                     Element Method (introduction).
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.




                                                  21                                              2010
APM3201: Mathematical Programming
 Module Code            Module Name           NQF Level              Credits               Semester
 APM3201                                      7                      16                    2
 Lectures per week      Pracs per week        Tutorials per week     Number of weeks       Notional hours
 4 x 50 min                                   1x 100 min             13

 Content / Syllabus     Linear programming: Basic ideas and concepts of program formulation, Simplex
                        method, Dual problem solution & its relation to the primal. Nonlinear programming
                        (NLP) background involves classification of problems/programs according to:
                        Minimization of unconstrained NLPs, Linearly constrained NLPs that include a special
                        subclass of quadratic programs concerned with minimization of quadratic functions,
                        Objective function having appropriate convexity property. Solution Methods:
                        Lagrangian function with associated multipliers and conditions, Kuhn-Tucker
                        conditions for inequality constrained minimization problems.
 Assessment             Year mark (DP) will be obtained assessments based on assignments and tests. Final
                        mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



BSc Applied Mathematics (Extended Programme)
The first 2 years of the BSc Applied Mathematics (Extended Programme) are equivalent
to the first year of the BSc Applied Mathematics programme. In the last two years of the
BSc Applied Mathematics (Extended Programme) the students follow the BSc Applied
Mathematics programme from second year. See also section 1.5.2.5.1.


Curriculum

Core and Foundation Modules
 Level 1 (BSc - EDP Year 1)
 Module Name                                                 Code              Credits         Semester
 Core
 Mathematical Methods I                                      APM1111           16              1

 Mathematical Methods II                                     APM1212           16              2
 Integrated Mathematics I                                    MAT1111           16              1
 Integrated Mathematics II                                   MAT1212           16              2
 Foundation
 Computer Science Fundamentals                               CSI1111           16              1
 Academic Literacy I                                         ACL1111           8               1
 Life Skills I                                               LSK1111           8               1
 Introduction to Programming I                               CSI1212           16              2
 Academic Literacy II                                        ACL1212           8               2
 Life Skills II                                              LSK1212           8               2




 [ Mathematical & Computational Sciences ]           22
Level 2 (BSc - EDP Year 2)
Module Name                                          Code      Credits   Semester
Core
Mathematical Methods III                             APM1113   16        1
Mathematical Methods IV                              APM1214   16        2
Integrated Mathematics III                           MAT1113   16        1
Integrated Mathematics IV                            MAT1214   16        2
Foundation
Introduction to Computer Architecture                CSI1113   16        1
Introduction to Programming II                       CSI1214   16        2
Total core credits                                             96        1&2
Electives required                                             24        1&2
Total credits                                                  120       1&2
Level 3 – same as level 2 of BSc 3 year programme
Module Name                                          Code      Credits   Semester
Multivariable Calculus                               MAT2101   8         1
Ordinary Differential Equations                      MAT2201   8         1
Numerical Analysis I                                 APM2101   16        1
Real Analysis I                                      MAT2102   8         2
Linear Algebra I                                     MAT2202   8         2
Eigenvalue Problems and Fourier Analysis             APM2201   16        2
Total core credits                                             64        1&2
Electives required                                             56        1&2
Total credits                                                  120       1&2
Level 4 – same as level 3 of BSc 3 year programme
Module Name                                          Code      Credits   Semester
Numerical Methods                                    APM3101   16        1
Complex Analysis                                     MAT3202   16        2
Mathematical Programming                             APM3201   16        2
Linear Algebra II                                    MAT3102   16        1
Total core credits                                             64        1&2
Electives required                                             56        1&2
Total credits                                                  120       1&2




                                                23                             2010
1.5.2.5.2.8                Electives
 Level 1 (BSC - EDP Year 1)
 Module Name                                               Code           Credits   Semester
 Extended General Chemistry I                              CHE1111        16        1
 Extended General Physics II                               PHY1212        16        2
 Extended Organic and Physical Chemistry I                 CHE1212        16        2
 Level 1 (BSC - EDP Year 2)
 Module Name                                               Code           Credits   Semester
 Extended General Physics III                              PHY1113        16        1
 Extended General Chemistry II                             CHE1113        16        1
 Probability & Distribution theory I                       STA1101        16        1
 Extended General Physics IV                               PHY1214        16        2
 Extended Organic and Physical Chemistry II                CHE1214        16        2
 Statistical Inference I                                   STA1202        16        2



1.5.1.5.2.10 Pre-Requisite Courses
 Course Code        Course Name                  Pre-Requisite
 APM1111            Mathematical Methods I       Faculty admission requirements
 APM1212            Mathematical Methods II      Faculty admission requirements
 APM1113            Mathematical Methods III     Faculty admission requirements
 APM1214            Mathematical Methods IV      Faculty admission requirements
 MAT1111            Integrated Mathematics I     Faculty admission requirements
 MAT1212            Integrated Mathematics II    FACULTY admission requirements
 MAT1113            Integrated Mathematics III   MAT1111
 MAT1214            Integrated Mathematics IV    MAT1212



1.5.1.5.1.12 Award Of Qualification
The qualification will be awarded after the satisfaction of the programme requirements,
including completion of 360 credits with a minimum of 120 credits obtained at each
level. See also see Rule G12 of the General Prospectus.

1.5.1.5.1.13 Programme Tuition Fees
Students are referred to the Walter Sisulu University institutional Fee Booklet for costs of
tuition fees, application fees, registration fees, late registration-fees and other student
fees.




 [ Mathematical & Computational Sciences ]       24
1.5.1.5.1.14 Articulation
Vertical
Vertical Articulation is possible with: BSc Hons Mathematics and BSc Hons Applied Mathematics, NQF Level
8
Horizontal
Within WSU
Horizontal Articulation is possible with possible with NQF Level 7 qualifications offered by WSU, e.g. BSc
Applied Statistical Science, NQF Level 7, course to the admission requirements of that qualification.
Other Universities
Horizontal Articulation is possible with NQF Level 7 qualifications offered by such institutions, subject to the
relevant institution’s admission requirements.



1.5.1.5.2.15 Core Syllabi Of Courses Offered

             1.1        APM1111: Mathematical Methods I
Module Code            Module Name            NQF Level              Credits                Semester
APM1111                                       7                      16                     1
Lectures per week      Pracs per week         Tutorials per week     Number of weeks        Notional hours
2 x 50 min                                    1 x 50 min             13

Content / Syllabus     1. Coordinate Systems: Review of Coordinate Systems in 2 and 3 dimensions
                       2. Vectors: Introduction to vectors, Vector Operations, The Dot Product, The Cross
                       Product, Applications to Coordinate Geometry and Mechanics
                       3. Laboratory Work on Vectors with MATLAB
Assessment             Year mark (DP) will be obtained assessments based on assignments and tests. Final
                       mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



             1.2        APM1212: Mathematical Methods II
Module Code            Module Name            NQF Level              Credits                Semester
APM1212                                       7                      16                     2
Lectures per week      Pracs per week         Tutorials per week     Number of weeks        Notional hours
2 x 50 min                                    1 x 50 min             13

Content / Syllabus     1. Matrix Theory: Matrices and Matrix Operations, Determinants, Inverses.
                       2. Systems of Linear Equations: Introduction to Systems of Linear Equations, Gaussian
                       Elimination, Gauss-Jordan Elimination, Systems of Equations and Invertibility,
                       3. Laboratory Work on Linear Algebra with MATLAB
Assessment             Year mark (DP) will be obtained assessments based on assignments and tests. Final
                       mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.




                                                      25                                               2010
           1.3         APM1113: Mathematical Methods III
 Module Code          Module Name            NQF Level                Credits                Semester
 APM1113                                     7                        16                     1

 Lectures per         Pracs per week         Tutorials per week       Number of weeks        Notional hours
 week
 2 x 50 min                                  1 x 50 min               13
 Content / Syllabus   4. Sets: Set Operations, De Morgan’s laws, Power Set, Cartesian Products, Indexed
                      Families of Sets, Laws of Algebra of Sets
                      5. The Fundamental Counting Principle, Permutations, Combinations, The Binomial
                      Theorem, The Principle of Mathematical Induction.
                      6. Logic: Logical Operations and Truth Tables, Tautologies and Contradictions, Logical
                      Equivalence.
                      7. Boolean algebra: Boolean Polynomials, Introduction to Two-Terminal Circuit Series-
                      Parallel and Bridge Circuits, Postulates of Switching Circuits, Boolean Identities,
                      Identity Elements, Inverses, and Cancellations.
                      8. Laboratory Work on Discreet Mathematics with MATLAB
 Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                      mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



           1.4         APM1214: Mathematical Methods IV
 Module Code               Module Name           NQF Level                 Credits               Semester
 APM1214                                         7                         16                    2

 Lectures per week         Pracs per week        Tutorials per week        Number of weeks       Notional hours

 2 x 50 min                                      1 x 50 min                13
 Content/ Syllabus         1. Linear programming: Introduction, LP Models, The Diet Problem, The Work-
                           Scheduling Problem, A Capital Budgeting Problem, Short-term Financial
                           Planning, Blending Problems, Production Process Models,
                           2. Multi-period Decision Problems: An Inventory Model, Multi-period Financial
                           Models, Multi-period Work Scheduling, The Graphical Method, The Simplex
                           Method – Maximisation, The Simplex Method – The Dual, The Simplex Method –
                           Mixed Constraints
                           3. Laboratory Work on Linear Programming with MATLAB
 Assessment                Year mark (DP) will be obtained assessments based on assignments and tests.
                           Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



1.5.2 Department of Mathematics

1.5.2.1                Information about Department
The Department of Mathematics strive is towards improving its leadership role in the
training of mathematicians who will contribute to the development of the country.
It promotes excellence in appropriate research and offers career orientated degree
programmes.



 [ Mathematical & Computational Sciences ]           26
The Department offers programmes at the Mthatha Campus (Nelson Mandela Drive
delivery site), and service courses at three campuses (Mthatha, Butterworth and Buffalo
City) and five delivery sites (Nelson Mandela Drive, Ibika, Potsdam, Chiselhurst and
College Street).

The following is a summary of programmes that are offered by the Department of
Mathematics.

 Department                  Programmes offered            Duration   Delivery Sites
 Department of Mathematics   BSc Mathematics (Ext progr)   4yrs       NMD
                             BSc Mathematics               3yrs       NMD
                             BSc Hons Mathematics          1yrs       NMD
                             MSc Mathematics               2yrs       NMD



1.5.2.2              Mission of The Department
The mission of the Department of Mathematics includes
     •	 Creating mathematically rich environment for the development of sufficiently
         sophisticated scientists, engineers and teachers of mathematics.
     •	   Conducting and promoting research that addresses the local, regional as well
          as national priorities.
     •	   Popularizing mathematics through innovative teaching methods and constant
          communication with other interfacing departments.
     •	   Continually streamlining our programmes to align them with the demands of
          industry and commerce.


1.5.2.3              Goals of the Department
The goals of the Department of Mathematics are:

     •	   To produce quality graduates capable of dynamic participation in the
          economic and environmental development of the region and beyond.
     •	   Working closely with our community attempt to solve some of the problems
          and ensure that the programmes are always relevant to their needs.
     •	   Through a commitment to service excellence, staff development and the
          maximum use of human and other resources, the Department of Mathematics
          strives to unite students, staff and employers in the common goal of improving
          the quality of life of our community.




                                               27                                      2010
1.5.2.4                Student Societies in the Department
None


1.5.2.5                Programmes In The Department

1.5.2.5.1              BSc Mathematics

1.5.2.5.1.1            Entrepeneurship & Professional Development
                       of Students
Mathematics is a scarce skill in South Africa and is crucial to the scientific and
technological development that leads to economic development of the country. In
view of this, the long term plan of the department envisages the establishment of a
linkage between the department and industry and commerce.

1.5.2.5.1.2            Career Opportunities
A Bachelor of Science degree in mathematics will prepare the student for jobs in
statistics, actuarial sciences, mathematical modeling, and cryptography; for teaching;
as well as postgraduate training leading to a research career in mathematics. A strong
background in mathematics is also necessary for research in many areas of computer
science, social science, and engineering


1.5.2.5.1.3            Purpose of Qualification
To provide basic mathematical knowledge needed for placement in jobs requiring a
significant amount of mathematical maturity, and for further training at a higher level
in various specializations of mathematics.


1.5.2.5.1.4            Exit Level Outcomes of The Programme
A BSc Applied Mathematics graduate should:

      •	   demonstrate knowledge and understanding of basic concepts and principles
           in mathematics,
      •	   have a sound mathematical basis for further training in mathematics and/or
           other fields of study that require a mathematical foundation,
      •	   develop a culture of critical and analytical thinking and be able to apply
           scientific reasoning to societal issues,
      •	   demonstrate ability to write mathematics correctly,

 [ Mathematical & Computational Sciences ]   28
      •	   be able to manage and organize own learning activities responsibly, be able to
           demonstrate ability to solve mathematical problems.


7.1.5.1.6               Programme Characteristics

7.1.5.1.6.2             Academic and Research Orientated Study
The programme is mainly academic and research orientated because academic
study is combined with related practical work aimed at developing more conceptual
mathematical than computational outcomes. The courses in this programme are
developed co-operatively using inputs from internal and external academic sources on
a continuous basis.

7.1.5.1.6.3             Practical Work
Practical work in tutorials and computer laboratories provides the practical experience
and the development of computing and research skills that will form the basis of future
work, academic and research engagement.


7.1.5.1.6.4             Teaching and Learning Methodology
Learning activities include lectures, tutorials, practicals in which in which independent
study are integrated.

1.5.1.5.1.7             Programme Information
The programme is designed to consist of at least 50% of the credits from Mathematics
and/or Applied Mathematics.

1.5.1.5.1.6.3 Minimum Admission Requirements
 National Senior Certificate
 Minimum Accumulated        Required NSC Subjects       Recommended                Other
 Point Score                (Compulsory)                NSC Subjects (Not
                                                        Compulsory)
 29                         Achievement rating of at
                            least level 4 (50% – 59%)
                            in Mathematics, Physical
                            Sciences, English, Life
                            Orientation and two
                            other subjects.
 Senior Certificate
 Senior Certificate: Symbol D in Mathematics and Physical Science at Standard Grade or Symbol E in
 Mathematics and Physical Science at Higher Grade.



                                                    29                                               2010
 FET Colleges
 National Certificate: A certificate with C-symbols for at least four subjects including Mathematics, Physical
 Sciences and language requirements for the Senior Certificate.
 Recognition of prior learning (RPL)
 RPL may be used to demonstrate competence for admission to this programme. This qualification may be
 achieved in part through RPL processes. Credits achieved by RPL must not exceed 50% of the total credits
 and must not include credits at the exit level.
 INTERNATIONAL STUDENTS
 Applications from international students are considered in terms of institutional equivalence reference
 document submission of international qualification to SAQA for benchmarking in terms of HEQF
 MATURE AGE ENDORSEMENT
 As per General Prospectus Rule G1.6.



1.5.1.5.1.6.4 Selection criteria for new students
Selection of new students will be based on scores in Mathematics, English and Physical
Science. Students with scores in these subjects higher than the minimum requirements
will be selected into programmes in Mathematics. Other students will be considered on
the basis of their performance in the SATAP tests and on the basis of the RPL portfolios.
Students who are not selected into this programme will be offered spaces in the
extended programme.

1.5.1.5.1.7              Programme Rules

1.5.1.5.1.7.1 Admission Rules
See school rules for admission to the programmes in the school.


1.5.1.5.1.7.4 Progression Rules

1.5.1.5.1.7.5 Re-Admission of Continuing Students
See School rules for the Re-Admission of Continuing Students in the school.

1.5.2.5.1.7.3 Exit Rules

1.5.2.5.1.7.4 Completion Rules
See School rules for completion of the programmes in the school.




 [ Mathematical & Computational Sciences ]             30
1.5.1.5.1.7.5 Exclusion Rules
See School rules for exclusion from the programmes in the school. In addition students
who are excluded from core course/modules and can therefore not complete the
programme will be excluded.

1.5.1.5.1.8                 Curriculum

1.5.1.5.1.8                 Core and Foundation
 Level 1
 Module Name                                     Code        Credits      Semester
 Core
 Precalculus & Calculus I                        MAT1101     16           First
 Introduction to Linear & Vector Alg.            APM1101     16           First
 Precalculus & Calculus II                       MAT1201     16           Second
 Linear Programming & Applied Computing          APM1201     16           Second
 Foundation
 Computer Literacy                               CLT1101     8            First
 Communication Skills                            EDU1001     8            First
 Total credits                                               80
 Level 2
 Module Name                                     Code        Credits      Semester
 Multivariable Calculus                                      8            First
                                                 MAT2101
 Ordinary Differential Equations                 MAT2201     8            First
 Numerical Analysis I                            APM2101     16           First
 Real Analysis I                                 MAT2102     8            Second
 Linear Algebra I                                MAT2202     8            Second
 Eigenvalue Problems and Fourier Analysis        APM2201     16           Second
 Total credits                                               64
 Level 3
 Module Name                                     Code        Credits      Semester
 Real Analysis II                                MAT3101     16           First
 Linear Algebra II                               MAT3102     16           First
 Numerical Methods                               APM3101     16           First
 Abstract Algebra                                MAT3201     16           Second
 Complex Analysis                                MAT3202     16           Second
 Mathematical Programming                        APM3201     16           Second
 Total credits                                               96


                                            31                                2010
1.5.1.5.1.8                Electives
Level 1
Module Name                                       Code      Credits   Semester
General Chemistry I                               CHE1101   16        First
Information Systems and Applications              CSI1101   8         First
Problem Solving and Programming                   CSI1102   8         First
General Physics I                                 PHY1101   16        First
Probability & Distribution Theory I               STA1101   16        First
General Chemistry I                               CHE1201   16        Second
Problem Solving and Programming                   CSI1201   8         Second
General Physics II                                PHY1202   16        Second
Probability & Statistical Inference I             STA1202   16        Second
Minimum total credits                                       40
Level 2
Module Name                                       Code      Credits   Semester
Mechanics I                                       APM2202   16        First
Analytical Chemistry II                           CHE2102   16        First
Physical Chemistry II                             CHE2105   16        First
Programming in JAVA                               CSI2101   14        First
Mechanics & Waves                                 PHY2101   16        First
Probability & Distribution Theory II              STA2101   16        First
Inorganic Chemistry II                            CHE2203   16        Second
Organic Chemistry II                              CHE2204   16        Second
Thermodynamics and Modern Physics                 PHY2202   16        Second
Operating Systems                                 CSI2201   14        Second
Statistical Inference II                          STA2202   16        Second
Minimum total credits                                       56
Level 3
Module Name                                       Code      Credits   Semester
Inorganic Chemistry III                           CHE3103   16        First
Organic Chemistry III                             CHE3104   8         First
Introduction to Artificial Intelligence           CSI3101   14        First
Software Engineering I                            CSI3102   14        First
Electromagnetism and Quantum Mechanics            PHY3101   24        First
Linear Models                                     STA3101   16        First
Analytical Chemistry III                          CHE3202   16        Second
Physical Chemistry III                            CHE3205   16        Second



 [ Mathematical & Computational Sciences ]   32
Environmental Chemistry – 2003                            CHE3207        12                    Second
Data Management                                           CSI3201        14                    Second
Software Engineering II                                   (CSI3202       14                    Second
Statistical Mechanics and Solid State Physics             PHY3202        24                    Second
Sampling Theory                                           STA3203        16                    Second
Minimum total credits                                                    24


1.5.2.5.1.10 Pre-Requisite Courses
Code          Course Name                                   Pre-Requisite
              Level I
MAT1101       Precalculus & Calculus I                      FACULTY admission requirements
APM1101       Introduction to Linear & Vector Alg.          FACULTY admission requirements
MAT1201       Precalculus & Calculus II                     FACULTY admission requirements
APM1201       Linear Programming & Applied Computing        Introduction to Linear & Vector Algebra
              Level II
MAT2101       Multivariable Calculus                        Precalculus & Calculus I, Precalculus &
                                                            Calculus II
MAT2201       Ordinary Differential Equations               Precalculus & Calculus I, Precalculus &
                                                            Calculus II
APM2101       Numerical Analysis I                          All Level I courses
MAT2102       Real Analysis I                               Precalculus & Calculus I, Precalculus &
                                                            Calculus II
MAT2202       Linear Algebra I                              Precalculus & Calculus I, Precalculus &
                                                            Calculus II
APM2201       Eigenvalue Problems and Fourier Analysis      All Level I courses
APM2202       Mechanics I                                   All Level I courses
              Level III
MAT3101       Real Analysis II                              Multivariable Calculus, Real Analysis I, Linear
                                                            Algebra I
MAT3102       Linear Algebra II                             Multivariable Calculus, Real Analysis I, Linear
                                                            Algebra I
APM3101       Numerical Methods                             All Level II courses except Mechanics I
MAT3201       Abstract Algebra                              Multivariable Calculus, Real Analysis I, Linear
                                                            Algebra I
MAT3202       Complex Analysis                              Multivariable Calculus, Real Analysis I, Linear
                                                            Algebra I
APM3201       Mathematical Programming                      All Level II courses except Mechanics I




                                                     33                                           2010
1.5.2.5.1.12 Award Of Qualification
The qualification will be awarded after one satisfies the programme requirements,
including completing 360 credits with a minimum of 120 credits obtained at each level.

[also see Rule G12 of the General Prospectus]


1.5.2.5.1.13 Programme Tuition Fees
Students are referred to the Walter Sisulu University institutional Fee Booklet for costs of
tuition fees, application fees, registration fees, late registration-fees and other student
fees.

1.5.2.5.1.14 Articulation
 Vertical
 Vertical Articulation is possible with: BSc Hons Mathematics and BSc Hons Applied Mathematics, NQF Level
 8
 Horizontal
 Within WSU
 Horizontal Articulation is possible with possible with NQF Level 7 qualifications offered by WSU, e.g. BSc
 Applied Statistical Science, NQF Level 7, course to the admission requirements of that qualification.
 Other Universities
 Horizontal Articulation is possible with NQF Level 7 qualifications offered by such institutions, subject to the
 relevant institution’s admission requirements.



1.5.2.5.1.15 Core Syllabi of Courses Offered

              MAT1101/MTE1101: Precalculus & Calculus I
 Module Code            Module Name            NQF Level              Credits                Semester
 MAT1101                                       7                      16                     1
 Lectures per week      Pracs per week         Tutorials per week     Number of weeks        Notional hours
 4 x 50 min                                    1 x 100 min            13

 Content / Syllabus     Sets, definitions, examples, operations on sets, complementation and DeMorgan’s
                        laws. The real number system, graphs of linear, quadratic, polynomial and rational
                        functions, exponential and logarithmic functions, trigonometric functions,
                        inequalities. Linear systems. Limits, continuity and differentiability of functions
                        of a single variable, curve sketching, maxima and minima, mean value theorems,
                        indeterminate forms.
 Assessment             Year mark (DP) will be obtained assessments based on assignments and tests. Final
                        mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.




 [ Mathematical & Computational Sciences ]             34
             MAT1201/MTE1201: Precalculus & Calculus II
Module Code          Module Name           NQF Level                Credits              Semester
MAT1201                                    7                        16                   2
Lectures per week    Pracs per week        Tutorials per week       Number of weeks      Notional hours
4 x 50 min                                 1 x 100 min              13

Content / Syllabus   Mathematical induction, permutations and combinations, binomial theorem,
                     complex numbers and polar coordinates. Introduction to integration, integration
                     of simple functions, fundamental theorem of integral calculus. Further techniques
                     of integration, introduction to series and sequences, power series and Taylor
                     polynomials and Taylor’s theorem, introduction to differential equations (ordinary
                     differential equations of first order).


Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             MAT2101/MTE2101: Multivariate Calculus
Module Code          Module Name           NQF Level                Credits              Semester
MAT2101                                    7                        8                    1
Lectures per week    Pracs per week        Tutorials per week       Number of weeks      Notional hours
2 x 50 min                                 1 x 50 min               13

Content / Syllabus   Functions of several variables, surfaces, continuity, partial derivatives, implicit
                     functions, the chain rule, higher order derivatives, Taylor’s theorem, local extrema and
                     saddle points, multiple integrals, line integrals, Green’s theorem, Jacobians, spherical
                     and cylindrical coordinates.


Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             MAT2102/MTE2101: Real Analysis I
Module Code            Module Name             NQF Level            Credits              Semester
MAT2102                                        7                    8                    2
Lectures per week      Pracs per week          Tutorials per week   Number of weeks      Notional hours
2 x 50 min                                     1 x 50 min           13

Content / Syllabus     Real number system as a complete ordered field, real sequences, convergent
                       sequences, monotone sequences and monotone convergence theorem,
                       subsequences, Cauchy sequences and Cauchy’s general principle of convergence,
                       infinite series and various tests of convergence, functions on closed intervals.
Assessment             Year mark (DP) will be obtained assessments based on assignments and tests. Final
                       mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.




                                                     35                                             2010
             MAT2201/MTE2201: Ordinary Differential Equations
Module Code          Module Name            NQF Level              Credits                Semester
MAT2201                                     7                      8                      1
Lectures per week    Pracs per week         Tutorials per week     Number of weeks        Notional hours
2 x 50 min                                  1 x 50 min             13

Content / Syllabus   Second order linear differential equations with constant coefficients, non-
                     homogeneous equations, special methods for particular integrals, variation of
                     parameters, higher order differential equations, solution in series, applications.


Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             MAT2202/MTE2202: Linear Algebra I
Module Code          Module Name            NQF Level              Credits                Semester
MAT2202                                     7                      8                      2
Lectures per week    Pracs per week         Tutorials per week     Number of weeks        Notional hours
2 x 50 min                                  1 x 50 min             13                     80.7

Content / Syllabus   Further properties of matrices and determinants, real vector spaces, basis and
                     dimension, linear transformations, eigenvalues, diagonalization.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             MAT3101/MTE3101: Real Analysis II
Module Code          Module Name            NQF Level              Credits                Semester
MAT3101                                     7                      16                     1
Lectures per week    Pracs per week         Tutorials per week     Number of weeks        Notional hours
2 x 50 min                                  1 x 50 min             13

Content / Syllabus   Countable and uncountable sets, topology of real line; open and closed sets of R
                     and their properties, limit points and the Bolzano - Weirstrass Theorem for sets,
                     subsequences and the Bolzano - Weierstrass Theorem, compact sets and the Heine-
                     Borel Theorem, uniform continuity, Riemann integration, uniform convergence.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



             MAT3102/MTE3102: Linear Algebra II
Module Code          Module Name            NQF Level              Credits                Semester
MAT3102                                     7                      16                     1
Lectures per week    Pracs per week         Tutorials per week     Number of weeks        Notional hours
2 x 50 min                                  1 x 50 min             13




[ Mathematical & Computational Sciences ]           36
 Content / Syllabus   Inner product spaces, the Cauchy - Schwarz and triangle inequalities, orthogonality
                      and orthonormal bases, the Gram -Schmidt orthogonalization process, complex
                      inner product spaces. eigenvalues and eigenvectors, diagonalization of a matrix, real
                      symmetric matrices, complex eigenvalues, quadratic forms.

 Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                      mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



              MAT3201/MTE3201: Abstract Algebra
 Module Code          Module Name            NQF Level              Credits                 Semester
 MAT3201                                     7                      16                      2
 Lectures per week    Pracs per week         Tutorials per week     Number of weeks         Notional hours
 2 x 50 min                                  1 x 50 min             13

 Content / Syllabus   Group Theory; definition and examples, elementary properties, subgroups, cosets,
                      Lagrange’s Theorem. Ring Theory; definitions, elementary properties, subrings and
                      ideals, integral domains and fields, residue class rings, polynomial rings, congruences,
                      prime and maximal ideals. Homomorphism Theorems; factor groups and rings, the
                      Fundamental homomorphism theorem, embedding theorems.
 Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                      mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


              MAT3202/MTE3202: Complex Analysis
 Module Code          Module Name            NQF Level              Credits                 Semester
 MAT3202                                     7                      16                      2
 Lectures per week    Pracs per week         Tutorials per week     Number of weeks         Notional hours
 2 x 50 min                                  1 x 50 min             13

 Content / Syllabus   Functions of a complex variable, limit, continuity and differentiability, power series,
                      integration, singularities and the calculus of residues, uniform convergence.
 Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                      mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



1.5.2.5.3 BSc Mathematics (Extended Programme)
The first 2 years of the BSc Mathematics (Extended Programme) are equivalent to the first
year of the BSc Mathematics programme. In the last two years of the BSc Mathematics
(Extended Programme) the students follow the BSc Mathematics programme from
second year. See section 1.5.2.5.1




                                                     37                                                2010
1.5.2.5.2.8               Curriculum

1.5.2.5.2.8               Core and Foundation
Level 1 (BSC - EDP Year 1)
Module Name                                       Code      Credits   Semester
Core
Integrated Mathematics I                          MAT1111   16        First
Integrated Mathematics II                         MAT1212   16        Second
Foundation
Computer Science Fundamentals                     CSI1111   16        First
Academic Literacy I                               ACL1111   8         First
Life Skills I                                     LSK1111   8         First
Introduction to Programming I                     CSI1212   16        Second
Academic Literacy II                              ACL1212   8         Second
Life Skills II                                    LSK1212   8         Second
Level 1 (BSC - EDP Year 2)
Module Name                                       Code      Credits   Semester
Integrated Mathematics III                        MAT1113   16        First
Introduction to Linear & Vector Algebra           APM1101   16        First
Integrated Mathematics IV                         MAT1214   16        Second



1.5.2.5.2.8               Electives
Level 1 (BSC - EDP Year 1)
Module Name                                       Code      Credits   Semester
Extended General Physics I                        PHY1111   16        First
Extended General Chemistry I                      CHE1111   16        First
Extended General Physics II                       PHY1212   16        Second
Extended Organic and Physical Chemistry I         CHE1212   16        Second
Level 1 (BSC - EDP Year 2)
Extended General Physics III                      PHY1113   16        First
Extended General Chemistry II                     CHE1113   16        First
Probability & Distribution theory I               STA1101   16        First
Extended General Physics IV                       PHY1214   16        Second
Extended Organic and Physical Chemistry II        CHE1214   16        Second
Statistical Inference I                           STA1202   16        Second




[ Mathematical & Computational Sciences ]    38
1.5.1.5.2.10 Pre-Requisite Courses
Code           Course Name                                   Pre-Requisite
               Level I
MAT1111        Integrated Mathematics I                      Faculty admission requirements
MAT1212        Integrated Mathematics II                     FACULTY admission requirements
MAT1113        Integrated Mathematics III                    MAT1111
APM1101        Linear Programming & Applied Computing        Introduction to Linear & Vector Algebra
MAT1214        Integrated Mathematics IV                     MAT1212
APM1201        Introduction to Linear & Vector Algebra       FACULTY admission requirements



1.5.1.5.2.15 Core Syllabi Of Courses Offered

             1.1         MAT1111: Integrated mathematics I
Module Code          Module Name            NQF Level            Credits               Semester
MAT1111                                     7                    16                    1
Lectures per week    Pracs per week         Tutorials per week   Number of weeks       Notional hours
2 x 50 min                                  1 x 50 min           13

Content / Syllabus   Algebraic Expressions: Factorization; Remainder and Factor theorems; Nature of
                     roots of a quadratic equation; Simplification of rational expressions; Radicals and
                     Exponents; Change of subject of formula
                     Sets: Definitions and Examples; Operations on sets; Venn Diagrams
                     Real Numbers: The Real number system; Inequalities – linear, quadratic, rational and
                     absolute value; Intervals on the Real line
                     Functions: Definitions; Ways of representing a function (descriptive, algebraic,
                     numerical and graphical); Polynomial, Rational, Absolute value, Exponential and
                     Logarithmic functions; Symmetry; Even and Odd functions; Inverse of a function
                     Limits and Continuity: Limit of a function; Standard limits; Limit theorems (without
                     proof ) and their applications; Continuous functions (A geometric and computational
                     approach, minimizing the rigorous epsilon-delta approach)
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             1.2         MAT1212: Integrated mathematics II
Module Code          Module Name            NQF Level            Credits               Semester
MAT1212                                     7                    16                    2
Lectures per week    Pracs per week         Tutorials per week   Number of weeks       Notional hours
2 x 50 min                                  1 x 50 min           13

Content / Syllabus   Differentiation, curve sketching, mean value theorems, applications of derivatives and
                     partial differentiation
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.




                                                   39                                             2010
              1.3      MAT1113: Integrated mathematics III
 Module Code             Module Name         NQF Level               Credits                      Semester
 MAT1113                                     7                       16                           1
 Lectures per week       Pracs per week      Tutorials per week      Number of weeks              Notional hours
 2 x 50 min                                  1 x 50 min              13

 Content / Syllabus      Intergration and its rules, areas, volumes and rotations of curves
 Assessment              Year mark (DP) will be obtained assessments based on assignments and tests. Final
                         mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


              1.4      MAT1214: Integrated mathematics IV
 Module Code          Module Name            NQF Level              Credits                   Semester
 MAT1214                                     7                      16                        2
 Lectures per week    Pracs per week         Tutorials per week     Number of weeks           Notional hours
 2 x 50 min                                  1 x 50 min             13

 Content / Syllabus   Mathematical Induction: Principle of Mathematical Induction and its applications to
                      standard proofs
                      Sequences and Series: Arithmetic and Geometric sequences and series; Power series
                      expansions; Taylor & Maclaurin series; Binomial series
                      Complex Numbers: Cartesian and Polar co-ordinates and the conversion from one co-
                      ordinate system to the other; Modulus and Argument; The Argand plane; De Moivre’s
                      theorem; Euler’s formula
                      Vectors: Basic concepts; Vector operations; The Dot product and the Cross product;
                      Application to co-ordinate
                      Matrices: Definitions and Examples; Algebra of matrices; The Inverse of a square
                      matrix; The Determinant of a square matrix; Properties of Determinants
 Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                      mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



1.5.2.5.3              Honours BSc Mathematics

1.5.2.5.3.1            Entrepeneurship & Professional Development
                       of Students
Mathematics is a scarce skill in South Africa and is crucial for the scientific and
technological development that leads to economic development of the country. In
view of this, the long term plan of the department envisages the establishment of a
linkage between the department, industry and commerce.

1.5.2.5.3.2            Career Opportunities
A Bachelor of Science Honours degree in mathematics will prepare the student for jobs
in statistical sciences, actuarial sciences, mathematical modeling, and cryptography; for
teaching; as well as postgraduate training leading to a research career in mathematics.


 [ Mathematical & Computational Sciences ]           40
A strong background in mathematics is also necessary for research in many areas of
computer science, social science, and engineering.


1.5.2.5.3.3        Purpose of Qualification
To provide basic mathematical knowledge needed for placement in jobs requiring
a significant amount of mathematical maturity, and for further training at a higher
level in various specializations of mathematics.


1.5.2.5.3.4        Exit Level Outcomes of The Programme
After the successful completion of the programme the student will be able to utilize
the acquired skills in various disciplines such as Science and Engineering, Economic
Sciences, Social Sciences and Humanities.

                   Programme Characteristics

                   Academic and Research Orientated Study
The programme is mainly academic and research orientated because academic study
is research based and aimed at developing conceptual mathematical outcomes and
training in new knowledge generation.

                   Practical Work
Research work provides the practical experience and the development of computing
and research skills that will form the basis of future work, academic and research
engagement.


                   Teaching and Learning Methodology
Learning activities include lecture, assignments, proposal development, hypothesising
research problems, data collection, capturing, analysis, interpretation, report writing,
communications such as conference posters, papers. The programme is accredited with
CHE and HEQC.

                   Programme Information
The entire programme is designed to consist of courses/modules in advanced
Mathematics.




                                          41                                   2010
1.5.2.5.3.6.1 Minimum Admission Requirements
An overall minimum of 55% in BSc. in Mathematics or Applied Mathematics.

1.5.2.5.3.6.2 Selection criteria for new students
All applicants will be interviewed for selection into the programme and immediately
allocated supervisors for the research component of the course.

1.5.2.5.3.7            Programme Rules
Refer to Programme Rules 1.5.2.5.1.7 above.


1.5.2.5.3.7.1 Admission Rules
Admission into the programme is contingent upon

      •	   Meeting the minimum requirements for admission to the programme.
      •	   Selection into the programme. Selection is limited by enrolment limits.
      •	   Admission on a first come first served basis for students who qualify in terms f
           selection criteria.
      •	   Not more than 50% of the courses from other institutions will be recognised.
      •	   All exit level courses will only be exmpted under extraneous conditions.
      •	   See also see General Prospectus Rule G15 & G16.

2.2.2.2.2.2.4 Progression Rules

2.2.2.2.2.2.5 Re-Admission of Continuing Students

1.5.2.5.1.7.3 Exit Rules

1.5.2.5.1.7.4 Completion Rules
See School rules for completion of the programmes in the school.


1.5.2.5.3.7.5 Exclusion Rules
See School rules for exclusion from the programmes in the school. In addition students
who are excluded from core course/modules and can therefore not complete the
programme will be excluded.

 [ Mathematical & Computational Sciences ]   42
1.5.2.5.3.8              Curriculum

1.5.1.5.1.8              Core and Foundation Modules
Level 1
Module Name                                              Code           Credits    Semester
Elective 1                                               Code           24         1-4
Elective 2                                               Code           24         1-4
Elective 3                                               Code           24         1-4
Elective 4                                               Code           24         1-4
Elective 5                                               Code           24         1-4
Total credits                                                           120


1.5.1.5.1.8              Electives
Level 1
Module Name                                              Code          Credits     Semester
Algebra                                                  MAT4101       24
Classical Analysis                                       MAT4102       24
Functional Analysis                                      MAT4103       24
General Topology                                         MAT4104       24
Group Theory                                             MAT4105       24
Measure Theory                                           MAT4106       24
Ring Theory                                              MAT4107       24
Differential Equations                                   MAT4108       24


1.5.2.5.1.10 Pre-Requisite Courses
Course Code                     Course Name                     Pre-Requisite
MAT4101                         Algebra                         Abstract Algebra
MAT4102                         Classical Analysis              MAT3101
MAT4103                         Functional Analysis             MAT3101
MAT4104                         General Topology                MAT3101
MAT4105                         Group Theory                    MAT3101, MAT3201
MAT4106                         Measure Theory                  MAT3101
MAT4107                         Ring Theory                     MAT3101, MAT3201
MAT4108                         Differential Equations          MAT2201




                                               43                                    2010
1.5.2.5.3.12 Award Of Qualification
The qualification will be awarded after one completes 120 credits.
[also see Rule G12 of the General Prospectus]


1.5.2.5.3.13 Programme Tuition Fees
Students are referred to the Walter Sisulu University institutional Fee Booklet for costs of
tuition fees, application fees, registration fees, late registration-fees and other student
fees.

1.5.2.5.3.14 Articulation
 Vertical
 Vertical Articulation is possible with: MSc Mathematics, NQF Level 9
 Horizontal
 Within WSU
 Horizontal Articulation is possible with possible with NQF Level 8 qualifications offered by WSU, e.g. BSc
 Hons Applied Mathematics, NQF Level 8, subject to the admission requirements of that qualification.
 Other Universities
 Horizontal Articulation is possible with NQF Level 8 qualifications offered by such institutions, subject to the
 relevant institution’s admission requirements.



1.5.2.5.3.15 Core Syllabi of Courses Offered

              MAT4101: Algebra
 Module Code           Module Name            NQF Level              Credits                Semester
 MAT4101                                      8                      24                     1
 Lectures per week     Pracs per week         Tutorials per week     Number of weeks        Notional hours
 4 x 50 min                                   1x 100 min             13

 Content / Syllabus    Ring theory; the isomorphism theorems, polynomial rings, the division algorithm,
                       unique factorization domains, euclidean domain, theory of fields, Galois theory. Group
                       theory; the isomorphism theorems, permutation groups, Sylow theorems, p-groups.
 Assessment            Year mark (DP) will be obtained assessments based on assignments and tests. Final
                       mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


              MAT4102: Classical Analysis
 Module Code            Module Name            NQF Level              Credits                Semester
 MAT4102                                       8                      24                     1
 Lectures per week      Pracs per week         Tutorials per week     Number of weeks        Notional hours
 4 x 50 min                                    2 x 50 min             13



 [ Mathematical & Computational Sciences ]             44
Content / Syllabus   Study of the further properties of a function of a complex variable, conformal
                     mappings, infinite products, analytic continuation, entire functions.


Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             MAT4103: Functional Analysis
Module Code          Module Name            NQF Level              Credits                 Semester
MAT4103              Functional Analysis    8                      24                      1


Lectures per week    Pracs per week         Tutorials per week     Number of weeks         Notional hours
4 x 50 min                                  2 x 50 min             13

Content / Syllabus   A brief review of the theory of metric spaces, normed spaces and their completeness
                     (Banach spaces), linear transformations, Hahn-Banach theorem, reflexivity, open
                     mapping theorem, closed graph theorem and the principle of uniform boundedness,
                     basic theory of Hilbert spaces and finite dimensional spectral theory.


Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             MAT4104: Algebra
Module Code          Module Name            NQF Level              Credits                 Semester
MAT4101              Algebra                8                      24                      1

Lectures per week    Pracs per week         Tutorials per week     Number of weeks         Notional hours
4 x 50 min                                  2 x 50 min             13

Content / Syllabus   Ring theory; the isomorphism theorems, polynomial rings, the division algorithm,
                     unique factorization domains, euclidean domain, theory of fields, Galois theory. Group
                     theory; the isomorphism theorems, permutation groups, Sylow theorems, p-groups.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             MAT4105: Group Theory
Module Code          Module Name            NQF Level              Credits                 Semester
MAT4105              Group Theory           8                      24                      1


Lectures per week    Pracs per week         Tutorials per week     Number of weeks         Notional hours
2 x 50 min                                  1 x 50 min             13

Content / Syllabus   Isomorphism theorems, permutation groups, Cayley’s theorem, Sylow theorems,
                     p-groups, classification of finite groups of low order, free groups, free abelian groups,
                     fundamental theorem of abelian groups, group representations, the fundamental
                     group in topology.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


                                                    45                                                2010
             MAT4106: Measure Theory
Module Code          Module Name            NQF Level             Credits                Semester
MAT4106              Measure Theory         8                     24                     1

Lectures per week    Pracs per week         Tutorials per week    Number of weeks        Notional hours
4 x 50 min                                  2 x 50 min            13

Content / Syllabus   Measures; rings and algebras of sets, measures, outer measures, Borel measures
                     on R, integration; measurable functions, product measures, the Lebesgue integral,
                     decomposition and differentiation of measures; signed measures.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             MAT4107: Ring Theory
Module Code          Module Name            NQF Level             Credits                Semester
MAT4107              Ring Theory            8                     24                     1

Lectures per week    Pracs per week         Tutorials per week    Number of weeks        Notional hours
4 x 50 min                                  2 x 50 min            13

Content / Syllabus   Isomorphism theorems, embedding theorems, polynomial rings, the division
                     algorithm, unique factorization domains, Euclidean domains, radical theory in
                     commutative rings, theory of finite fields, Galois theory.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             MAT4108: Differential Equations
Module Code          Module Name            NQF Level             Credits                Semester
MAT4108              Differential           8                     24                     1
                     Equations
Lectures per week    Pracs per week         Tutorials per week    Number of weeks        Notional hours
4 x 50 min                                  2 x 50 min            13
Content / Syllabus   Study of ordinary differential equations, including modeling physical systems, e.g.
                     predator-prey population models; Analytic methods of solving ordinary differential
                     equations of first and higher orders: Laplace Transform methods, series solutions, etc;
                     Nonlinear autonomous systems: critical point analysis and phase plane diagrams;
                     Numerical solution of differential equations;
                     Introduction to partial differential equations.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



1.5.2.5.4             MSc Mathematics

1.5.2.5.4.1           Entrepeneurship & Professional Development
                      of Students

[ Mathematical & Computational Sciences ]          46
Mathematics is a scarce skill in South Africa and is crucial to the scientific and
technological development that leads to economic development of the country. In
view of this, the long term plan of the department envisages the establishment of a
linkage between the department and industry and commerce.

1.5.2.5.4.2         Career Opportunities
A Master of Science degree in mathematics will prepare the student for jobs in statistics,
actuarial sciences, mathematical modeling, and cryptography; for teaching; as well as
postgraduate training leading to a research career in mathematics. A strong background
in mathematics is also necessary for research in many areas of computer science, social
science, and engineering

1.5.2.5.4.3         Purpose of Qualification
To provide mathematical knowledge needed for placement in jobs requiring a
significant amount of mathematical maturity, and for further training at a higher level
in various specializations of mathematics.


1.5.2.5.4.4         Exit Level Outcomes of The Programme
After the successful completion of the programme the student will be able to utilize
the acquired skills in various disciplines such as Science and Engineering, Economic
Sciences, Social Sciences and Humanities.

7.1.5.1.6           Programme Characteristics

7.1.5.1.6.2         Academic and Research Orientated Study
The programme is mainly academic and research orientated because academic study
is research based and aimed at developing conceptual mathematical outcomes and
training in new knowledge generation.

7.1.5.1.6.3         Practical Work
Research work provides the practical experience and the development of computing
and research skills that will form the basis of future work, academic and research
engagement.
7.1.5.1.6.4         Teaching and Learning Methodology
Learning activities include proposal development, hypothesising research problems,
data collection, capturing, analysis, interpretation, report writing, communications
such as conference posters, papers. The programme is accredited with CHE and HEQC.


                                           47                                    2010
1.5.2.5.4.6            Programme Information

1.5.2.5.4.6.1 Minimum Admission Requirements
A BSc Honours degree in Mathematics or Applied Mathematics.

1.5.2.5.4.6.2 Selection criteria for new students
All applicants will be interviewed for selection into the programme and immediately
allocated supervisors.


1.5.2.5.4.7            Programme Rules
Refer to Programme Rules 1.5.2.5.1.7 above.

1.5.2.5.4.7.1 Admission Rules
See School Admission Rules.

1.5.2.5.4.7.2 Progression Rules

1.5.2.5.4.7.2 Re-Admission of Continuing Students
See school rule for re-admission of continuing students


1.5.2.5.4.7.3 Exit Rules

1.5.2.5.4.7.4 Completion Rules
Two modules and a dissertation or a dissertation only must be completed.

1.5.2.5.4.7.5 Exclusion Rules
See School rules for exclusion from the programmes in the school. In addition students
who are excluded from core course/modules and can therefore not complete the
programme will be excluded.
1.5.2.5.4.8            Curriculum




 [ Mathematical & Computational Sciences ]   48
1.5.1.5.1.8              Core and Foundation Modules
 Year Level      Semester       Course                                                  Code          Credits
 1               1              Approved Proposal                                       CHE5108       24
 1               2              Presentation of Proposal                                CHE5208       24
 2               3              Dissertation                                            CHE5308       144
 2               4              Presentation of Research Findings at Conferences        CHE5408       48
 Total Credits                                                                                        240


1.5.2.5.4.11 Available Topics/areas of research
Some of the typical areas of current research in the department include Algebra, Fluid
Mechanics, Functional Analysis, Linear Operators, nonlinear Functional Analysis, Special
functions, topology and Differential Equations.

1.5.2.5.4.12 Award Of Qualification
The minimum number of credits for an MSc is 240, which may be accumulated entirely
from a dissertation or split between coursework and a dissertation.

1.5.2.5.4.13 Programme Tuition Fees
Students are referred to the Walter Sisulu University institutional Fee Booklet for costs of
tuition fees, application fees, registration fees, late registration-fees and other student
fees.

1.5.2.5.4.14 Articulation
 Vertical
 Vertical Articulation is possible with: PhD Mathematics, NQF Level 10
 Horizontal
 Within WSU
 Horizontal Articulation is possible with possible with NQF Level 9 qualifications offered by WSU.
 Other Universities
 Horizontal Articulation is possible with NQF Level 9 qualifications offered by such institutions, subject to the
 relevant institution’s admission requirements.



1.5.3 Department of Statistics

1.5.3.1 Information about Department
The Department of Statistics is located on the Mthatha campus of the university, at the
Nelson Mandela Drive site. It offers a three year degree with traditional undergraduate
courses in applied mathematics, computer science, mathematics, and statistics Also the

                                                       49                                              2010
department has programmes postgraduate and offers services other departments by
offering modules they need in their programmes. More information on the programmes
offered in the department is presented below.


                                                             Duration    Duration
 Department         Programmes offered                                               Delivery Sites
                                                             Full-time   Part-time
 Department of      BSc Applied Statistical Science - EDP    4yrs        N/A         NMD
 Statistics
                    BSc Applied Statistical Science          3yrs        N/A         NMD
                    BSc Honors Applied Statistical Science   1yrs        3yrs        NMD
                    MSc                                      2yrs        4yrs        NMD



1.5.3.2 Mission of The Department
The Department of Statistics strives to serve as a national key source of graduates well-
trained in statistical techniques appropriate for social research in all its dimensions
and to provide training programmes suitable for the skills needs of the computing
knowledge industries.

1.5.3.3 Goals of the Department
There are four key components of the goals of the department:

      •	   To produce problem-solving professional statisticians in areas identified in the
           mission statement;
      •	   To foster the teaching of statistical methods across the diverse programmes of
           the Walter Sisulu University through service courses;
      •	   To promote statistical research in areas relating to national socio-economic
           development ;
      •	   To contribute significantly to the aims of South African Statistical Association
           (SASA)


1.5.3.4 Student Societies in the Department
None

1.5.1.5                Programmes In The Department

1.5.3.5.1              BSc Applied Statistical Science
1.5.3.5.1.1            Entrepeneurship & Professional Development
                       of Students
 [ Mathematical & Computational Sciences ]            50
Statistics is an important is an important area of study and is needed in various sectors
of government and industry and commerce. In view of this, the long term plan of the
department envisages the establishment of a linkage between the department and
industry and commerce.

1.5.3.5.1.2         Career Opportunities
A Bachelor of Science degree in Applied Statistical Science will prepare the student
for jobs in many different sectors of the economy, including Agriculture, Banking,
Economic Planning, Education, Engineering, Forestry, Health Research, Insurance,
Manufacturing, Market Research, Monitoring & Evaluation, Scientific Research, Social
Research, Transport.

1.5.3.5.1.3         Purpose of Qualification
To provide basic mathematical knowledge in applied mathematics, computer science,
mathematics and statistics with an inclination towards application in the solution of
technical problems in the marketplace, and for further training at a higher level in
various specializations needing a sound foundation in Mathematical Sciences.

1.5.3.5.1.4         Exit Level Outcomes of The Programme
A BSc Applied Statistics graduate should:

     •	   demonstrate knowledge and understanding of basic concepts and principles
          in applied statistics,
     •	   have a sound basis in applied statistics for further training in this area and/or
          other fields of study that require a foundation in applied statistics,
     •	   develop a culture of critical and analytical thinking and be able to apply
          scientific reasoning to societal issues,
     •	   demonstrate ability to apply statistics,
     •	   be able to manage and organize own learning activities responsibly,
     •	   be able to demonstrate ability to solve real-world problems requiring the
          application of techniques in statistics.


7.1.5.1.6           Programme Characteristics

7.1.5.1.6.2         Academic and Research Orientated Study
The programme is mainly academic and research orientated because academic
study is combined with related practical work aimed at developing more conceptual

                                            51                                    2010
mathematical than computational outcomes. The courses in this programme are
developed co-operatively using inputs from internal and external academic sources on
a continuous basis.

7.1.5.1.6.3              Practical Work
Practical work in tutorials and computer laboratories provides the practical experience
and the development of computing and research skills that will form the basis of future
work, academic and research engagement.


7.1.5.1.6.4              Teaching and Learning Methodology
Learning activities include lectures, tutorials, practicals in which in which
independent study are integrated.

1.5.3.5.1.6              Programme Information
The entire programme must consist of at least 50% of the credits from Mathematics
and/or Applied Mathematics.

1.5.1.5.1.6.5 Minimum Admission Requirements
 National Senior Certificate
 Minimum Accumulated         Required NSC Subjects                       Recommended                  Other
 Point Score                 (Compulsory)                                NSC Subjects (Not
                                                                         Compulsory)
 29                          Achievement rating of at least level 4
                             (50% – 59%) in Mathematics, Physical
                             Sciences, English, Life Orientation and
                             two other subjects.
 Senior Certificate
 Symbol D in Mathematics and Physical Science at Standard Grade or Symbol E in Mathematics and Physical
 Science at Higher Grade.
 FET Colleges
 National Certificate: A certificate with C-symbols for at least four subjects including Mathematics, Physical
 Sciences and language requirements for the Senior Certificate.
 Recognition of prior learning (RPL)
 RPL may be used to demonstrate competence for admission to this programme. This qualification may be
 achieved in part through RPL processes. Credits achieved by RPL must not exceed 50% of the total credits
 and must not include credits at the exit level.
 INTERNATIONAL STUDENTS
 Applications from international students are considered in terms of institutional equivalence reference
 document submission of international qualification to SAQA for benchmarking in terms of HEQF
 MATURE AGE ENDORSEMENT
 As per General Prospectus Rule G1.6.


 [ Mathematical & Computational Sciences ]             52
1.5.1.5.1.6.6 Selection criteria for new students
Selection of new students will be based on scores in Mathematics, English and Physical
Science. Students with scores in these subjects higher than the minimum requirements
will be selected into programmes in Mathematics. Other students will be considered on
the basis of their performance in the SATAP tests and on the basis of the RPL portfolios.
Students who are not selected into this programme will be offered spaces in the
extended programme.

1.5.3.5.1.7         Programme Rules

1.5.3.5.1.7.1 Admission Rules
Admission into the programme is contingent upon

     •	   Meeting the minimum requirements for admission to the programme.
     •	   Selection into the programme. Selection is limited by enrolment limits.
     •	   Admission on a first come first served basis for students who qualify in terms
          of selection criteria..
     •	   Not more than 50% of the courses from other institutions will be recognised.
     •	   All exit level courses will only be exmpted under extraneous conditions.
     •	   See also see General Prospectus Rule G15 & G16.


1.5.2.5.4.7.2 Progression Rules

1.5.2.5.4.7.2 Re-Admission of Continuing Students
See school rules for re-admission of continuing students


1.5.3.5.1.7.3 Exit Rules

1.5.3.5.1.7.4 Completion Rules
All courses and modules must be completed
1.5.3.5.1.7.5 Exclusion Rules
See School rules for exclusion from the programmes in the school. In addition
students who are excluded from core course/modules and can therefore not
complete the programme will be excluded.


                                          53                                    2010
1.5.3.5.1.8                Curriculum
A student must take all the Core modules and Foundational modules at that level.
Relevant electives (for which the student has the required pre-requisites) must then
be chosen so that the student has a minimum of 120 credits at that level. However, no
student may register for more than 128 credits in any given academic year.

1.5.1.5.1.8                Core and Foundation
Level 1
Module Name                                                 Code           Credits    Semester
Core
Probability & Distribution Theory I                         STA1101        16         1
Probability & Statistical Inference I                       STA1202        16         2
Foundation
Computer Literacy                                           CLT1101        8          1
Communication Skills                                        EDU1001        8          1
Total core credits                                                         48
Elective credits required                                                  72
Total credits                                                              120
Level 2
Module Name                                                 Code           Credits    Semester
Probability & Distribution Theory II                        STA2101        16         First
Statistical Inference II                                    STA2202        16         Second
Total core credits                                                         32
Elective credits required                                                  98
Total credits                                                              120
Level 3
Module Name                                                 Code           Credits    Semester
Sampling Theory                                             STA3203        16         Second
Stochastic Processes & Time Series Forecasting              STA3202        16         Second
Linear Regression & Multivariable Distribution theory       STA3101        16         First
Total core credits                                                         48
Elective credits required                                                  72
Total credits                                                              120

Electives
 Level 1
 Module Name                                             Code         Credits        Semester
 General Chemistry I                                     CHE1101      16             First
 Information Systems and Applications                    CSI1101      8              First



 [ Mathematical & Computational Sciences ]          54
Problem Solving and Programming                 CSI1102    8         First
General Physics I                               PHY1101    16        First
Precalculus & Calculus I                        MAT1101    16        First
General Chemistry I                             CHE1201    16        Second
Problem Solving and Programming                 CSI1201    8         Second
General Physics II                              PHY1202    16        Second
Introduction to Linear & Vector Alg.            APM1101    16        First
Level 2
Module Name                                     Code       Credits   Semester
Numerical Analysis I                            APM2101    16        First
Real Analysis I                                 MAT2102    8         Second
Linear Algebra I                                MAT2202    8         Second
Eigenvalue Problems and Fourier Analysis        APM2201    16        Second
Mechanics I                                     APM2202    16        First
Analytical Chemistry II                         CHE2102    16        First
Physical Chemistry II                           CHE2105    16        First
Programming in JAVA                             CSI2101    14        First
Mechanics & Waves                               PHY2101    16        First
Multivariable Calculus                          MAT2101    8         First
Inorganic Chemistry II                          CHE2203    16        Second
Organic Chemistry II                            CHE2204    16        Second
Thermodynamics and Modern Physics               PHY2202    16        Second
Operating Systems                                CSI2201   14        Second
Ordinary Differential Equations                 MAT2201    8         First
Minimum total credits                                      56
Level 3
Module Name                                     Code       Credits   Semester
Numerical Methods                               APM3101    16        First
Linear Algebra II                               MAT3102    16        First
Inorganic Chemistry III                         HE3103     16        First
Organic Chemistry III                           CHE3104    8         First
Introduction to Artificial Intelligence         CSI3101    14        First
Software Engineering I                          CSI3102    14        First
Electromagnetism and Quantum Mechanics          PHY3101    24        First
Linear Models                                   STA3101    16        First
Analytical Chemistry III                        CHE3202    16        Second
Physical Chemistry III                          CHE3205    16        Second
Environmental Chemistry – 2003                  CHE3207    12        Second


                                           55                           2010
 Data Management                                            CSI3201    14            Second
 Software Engineering II                                    (CSI3202   14            Second
 Statistical Mechanics and Solid State Physics              PHY3202    24            Second
 Complex Analysis                                           MAT3202    16            Second
 Mathematical Programming                                   APM3201    16            Second



1.5.3.5.1.10 Pre-Requisite Subjects
 Module                      Prerequisite         Concurrent           Substitutes
 STA1101                                          MAT1101
                                                  APM1101
 STA1202                                          MAT1201
                                                  APM1201
 STA2101                     STA1101              MAT2101
                             STA1202              MAT2102
                             MAT1101              APM2101
                             MAT1201
                             APM1101
                             APM1201
 STA2201                     STA1101              MAT2201
                             STA1202              MAT2202
                             MAT1101              APM2201
                             MAT1201
                             APM1101
                             APM1201
 STA3101                     STA2101              MAT3101
                             STA2202              MAT3102
                                                  APM3101
 STA3203                     STA2101              MAT3201
                             STA2202              MAT3202
                                                  APM3201



1.5.3.5.1.12 Award Of Qualification
The qualification will be awarded after one satisfies the programme requirements,
including completing 360 credits with a minimum of 120 credits obtained at each level.
See also see Rule G12 of the General Prospectus.




 [ Mathematical & Computational Sciences ]       56
1.5.3.5.1.13 Programme Tuition Fees
Students are referred to the Walter Sisulu University institutional Fee Booklet for costs of
tuition fees, application fees, registration fees, late registration-fees and other student
fees.

1.5.3.5.1.14 Articulation
 Vertical
 Vertical Articulation is possible with: BSc Hons Mathematics and BSc Hons Applied Mathematics, NQF Level
 8
 Horizontal
 Within WSU
 Horizontal Articulation is possible with possible with NQF Level 7 qualifications offered by WSU, e.g. BSc
 Applied Mathematics, NQF Level 7, course to the admission requirements of that qualification.
 Other Universities
 Horizontal Articulation is possible with NQF Level 7 qualifications offered by such institutions, subject to the
 relevant institution’s admission requirements.



1.5.3.5.1.15 Core Syllabi of Subjects Offered

BSc Applied Statistical Science

Course information on the modules offered outside the departments of statistics may
be obtained from the respective departments.

STA 1101: Descriptive Statistics, Probability & Distribution Theory
 Module Code            Module Name            NQF Level              Credits                Semester
 APM1101                                       7                      16                     1
 Lectures per week      Pracs per week         Tutorials per week     Number of weeks        Notional hours
 4 x 50 min                                    1 x 100 min            13

 Content / Syllabus     Data analysis and Descriptive Statistics
                        Different kinds of variables and measurement scales. Construction and Graphical
                        presentation of frequency distributions. Cumulative frequency; the ogive and
                        percentiles. Measures of central tendency; the Mean, Median and Mode. Measures of
                        Spread; Mean Deviation, the Standard Deviation and the Quartile Deviation.
                        Probability Distributions
                        Introduction to the concept of probability. Counting techniques, Baye’s theorem.
                        Discrete probability distributions, including the Bernoulli, the Binomial, Poisson,
                        Hyper-geometric, and Negative Binomial. Continuous Probability distributions
                        including the Uniform, the Gamma, the Beta and the Chi-Square distributions, the
                        Normal distribution.
 Assessment             Year mark (DP) will be obtained assessments based on assignments and tests. Final
                        mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.




                                                       57                                               2010
             STA1202: Statistical Inference I
Module Code           Module Name           NQF Level                Credits                Semester
STA1202                                     7                        16                     2
Lectures per week     Pracs per week        Tutorials per week       Number of weeks        Notional hours
4 x 50 min                                  1 x 100 min              13

Content / Syllabus    Inferential Statistics: The Central Limit Theorem. Introduction to Sampling
                      distributions including the t-distribution, the Chi-Square distribution and the
                      F-distribution. Estimation of parameters. One and Two sample tests of hypotheses for
                      means. The F-test. Simple Correlation, Simple Linear Regression
Assessment            Year mark (DP) will be obtained assessments based on assignments and tests. Final
                      mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



             STA2101: Probability & Distributions II
Module Code             Module Name             NQF Level                 Credits                   Semester
STA2101                                         7                         16                        1
Lectures per week       Pracs per week          Tutorials per week        Number of weeks           Notional hours
4 x 50 min                                      1 x 100 min               13

Content / Syllabus      Combinatorial analysis, axioms of probability, conditional probability and
                        stochastic independence. Introduction to the concept of a random variable.
                        More detailed treatment of discrete probability distribution, Introduction to
                        mathematical expectation and moment generating functions, Jointly distributed
                        random variables, independent random variables, marginal and conditional
                        distributions. The bivariate normal distribution, Functions of random variables;
                        sums of random variables, The central limit theorem. Chebychev’s inequality, De-
                        Moivre-Laplace theorem. Poisson approximation to the binomial distribution.
Assessment              Year mark (DP) will be obtained assessments based on assignments and tests. Final
                        mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


             STA2202: Statistical Inference II
Module Code          Module Name            NQF Level                Credits                    Semester
STA2202                                     7                        16                         2
Lectures per week    Pracs per week         Tutorials per week       Number of weeks            Notional hours
4 x 50 min                                  1x 100 min               13
Content / Syllabus   Estimation: Properties of good estimators. Unbiased estimators. Consistent
                     estimators. Maximum like¬lihood, method of moments, and least squares estimators.
                     Interval estimation; confidence intervals for means, difference between two means,
                     proportions. Confidence intervals for variances and ratio of variances.

                     Hypothesis testing: Testing a statistical hypothesis; the Neyman-Pearson Lemma, the
                     power function of a statistical test. likelihood ratio tests. Applications of hypothesis
                     testing; tests concerning means, difference between two means, variances,
                     proportions, differences among k proportions.
                     Analysis of contingency tables, correlation and regression analysis, including multiple
                     linear regression and correlation. Introduction to time series forecasting
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



[ Mathematical & Computational Sciences ]              58
              STA3101: Multivariable Distribution Theory & Linear Models
 Module Code          Module Name            NQF Level              Credits                Semester
 STA3101                                     7                      16                     2
 Lectures per week    Pracs per week         Tutorials per week     Number of weeks        Notional hours
 4 x 50 min                                  1x 100 min             13

 Content / Syllabus   Multivariate Distribution Theory: Random Vector: p-dimensional case , Joint
                      distribution and their applications: p-dimensional case; Marginal & Conditional
                      distributions and their applications to probability calculations, Marginal and Product
                      Moments; Mean Vector; Covariance Matrix; Dispersion Matrix; Expectation of Random
                      Quadratic Form. Joint Moment Generating Function and its applications; The
                      Multivariate Normal Distribution; Quadratic Forms in Normal Variates.
                      Linear Models: Concepts related to linear models; point and interval estimation;
                      hypothesis testing; violation of assumptions; applications of linear models.
 Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                      mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.




              STA3202: Stochastic Processes & Time Series Forecasting
 Module Code          Module Name            NQF Level              Credits                Semester
 STA3202                                     7                      16                     2
 Lectures per week    Pracs per week         Tutorials per week     Number of weeks        Notional hours
 4 x 50 min                                  1x 100 min             13

 Content / Syllabus   Stochastic Processes: Introduction to stochastic processes. Finite markov chains with
                      special emphasis on two state markov chains. Classification of states. The basic limit
                      theorem of markov chains. Simple markov processes. The Poisson process. Birth and
                      death processes. Introduction to inference for markov chains and markov processes.
                      Time series forecasting: Forecasting a time series with no trend, forecasting a time
                      series with a linear trend, forecasting a time series with a quadratic trend. Forecasting
                      seasonal time series. The multiplicative decomposition model, Winter’s method.
                      Forecasting a time series with additive seasonal variation; the use of regression
                      models. Application of forecasting techniques.
 Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                      mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



1.5.2.5.4              BSc Statistical Science (Extended Programme)
The first 2 years of the BSc Statistical Science (Extended Programme) are equivalent
to the first year of the BSc Statistical Science programme. In the last two years of the
BSc Statistical Science (Extended Programme) the students follow the BSc Statistical
Science programme from second year. See section 1.5.2.5.1


1.5.2.5.2.8            Curriculum



                                                     59                                               2010
1.5.2.5.2.8                 Core and Foundation Modules
Level 1 (BSC - EDP Year 1)
Module Name                                      Code      Credits   Semester
Core
Integrated Statistics I                          STA1111   16        First
Integrated Statistics II                         STA1212   16        Second
Integrated Mathematics I                         MAT1111   16        First
Integrated Mathematics II                        MAT1212   16        Second
Foundation
Computer Science Fundamentals                    CSI1111   16        First
Academic Literacy I                              ACL1111   8         First
Life Skills I                                    LSK1111   8         First
Introduction to Programming I                    CSI1212   16        Second
Academic Literacy II                             ACL1212   8         Second
Life Skills II                                   LSK1212   8         Second
Level 1 (BSC - EDP Year 2)
Module Name                                      Code      Credits   Semester
Core
Integrated Statistics III                        STA1113   16        First
Integrated Statistics IV                         STA1214   16        Second
Integrated Mathematics III                       MAT1113   16        First
Integrated Mathematics IV                        MAT1214   16        Second
Foundation
Introduction to Computer Architecture            CSI1113   16        First
Introduction to Programming II                   CSI1214   16        Second



1.5.2.5.2.8                 Electives
Level 1 (BSC - EDP Year 1)
Module Name                                      Code      Credits   Semester
Extended General Physics I                       PHY1111   16        First
Extended General Chemistry I                     CHE1111   16        First
Extended General Physics II                      PHY1212   16        Second
Extended Organic and Physical Chemistry I        CHE1212   16        Second
Level 1 (BSC - EDP Year 2)
Module Name                                      Code      Credits   Semester
Introduction to Linear & Vector Algebra          APM1101   16        First
Extended General Physics III                     PHY1113   16        First



[ Mathematical & Computational Sciences ]   60
 Extended General Chemistry II                                       CHE1113         16              First
 Probability & Distribution theory I                                 STA1101         16              First
 Linear Programming & Applied Computing                              APM1201         16              Second
 Extended General Physics IV                                         PHY1214         16              Second
 Extended Organic and Physical Chemistry II                          CHE1214         16              Second
 Statistical Inference I                                             STA1202         16              Second



1.5.1.5.2.10 Pre-Requisite Courses
 Course Code         Course Name                                    Pre-Requisite
 STA1111             Integrated Statistics I                        Faculty admission requirements
 STA1212             Integrated Statistics II                       Faculty admission requirements
 STA1113             Integrated Statistics III
 STA1214             Integrated Mathematics IV
 MAT1111             Integrated Mathematics I                       Faculty admission requirements
 MAT1212             Integrated Mathematics II                      FACULTY admission requirements
 MAT1113             Integrated Mathematics III                     MAT1111
 MAT1214             Integrated Mathematics IV                      MAT1212



1.5.2.5.1.12 Award Of Qualification
The qualification will be awarded after satisfaction of the programme requirements,
including completing 360 credits with a minimum of 120 credits obtained at each level.
Also see Rule G12 of the General Prospectus.

1.5.2.5.1.13 Programme Tuition Fees
Students are referred to the Walter Sisulu University institutional Fee Booklet for costs of
tuition fees, application fees, registration fees, late registration-fees and other student
fees.

1.5.2.5.1.14 Articulation
 Vertical
 Vertical Articulation is possible with: BSc Hons Mathematics and BSc Hons Applied Mathematics, NQF Level 8
 Horizontal
 Within WSU
 Horizontal Articulation is possible with possible with NQF Level 7 qualifications offered by WSU, e.g. BSc
 Applied Statistical Science, NQF Level 7, course to the admission requirements of that qualification.
 Other Universities
 Horizontal Articulation is possible with NQF Level 7 qualifications offered by such institutions, subject to the
 relevant institution’s admission requirements.

                                                       61                                               2010
             1.1      STA1111: Descriptive and Economic Statistics
Module Code          Module Name            NQF Level             Credits                  Semester
STA1111                                     7                     16                       1
Lectures per week    Pracs per week         Tutorials per week    Number of weeks          Notional hours
2 x 50 min                                  1 x 50 min            13

Content / Syllabus   Descriptive Statistics: Different kinds of variables and measurement scales; Tabular
                     and graphic presentation of data. Construction of frequency tables and their graphic
                     presentation; Relationship of histogram with frequency curve; Stem & leaf diagram;
                     Commonly used fractiles: their meanings and properties, Descriptive measures of
                     central tendency and their properties; Descriptive measures of variation/dispersion
                     and their properties. Economic Statistics (Index Numbers): Characteristics of index
                     numbers of prices; Types of index numbers of prices & Methods of their construction:
                     simple aggregative , weighted aggregative; quantity index numbers; cost of living
                     index numbers.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



             1.2      STA1212: Introduction To Statistical Inference
Module Code          Module Name            NQF Level            Credits               Semester
STA1212                                     7                    16                    2
Lectures per week    Pracs per week         Tutorials per week   Number of weeks       Notional hours
2 x 50 min                                  1 x 50 min           13

Content / Syllabus   Point & Interval Estimation : Meaning of point estimate . Illustrations with commonly
                     used point estimates for population mean , variance ,and proportion . Basic normal-
                     theory interval estimation of these parameters (both one-sample & two-sample
                     cases). Hypothesis Testing : Normal-theory one-and two-sample-based tests of
                     hypotheses about population means , variances & proportions. The chi-square test for
                     independence .
                     Simple Regression : Elementary treatment of the simple linear model.
Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                     mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



             1.3      STA1113: Probability & Distributions I
Module Code          Module Name            NQF Level            Credits               Semester
STA1113                                     7                    16                    1
Lectures per week    Pracs per week         Tutorials per week   Number of weeks       Notional hours
2 x 50 min                                  1 x 50 min           13




[ Mathematical & Computational Sciences ]          62
 Content / Syllabus   Set Theory: Definition and examples of a set; Common set operations using Venn
                      diagram; Basic laws of set algebra. Counting Techniques: Product rule for counting;
                      concept of permutation and associated rules; concept of combination and associated
                      rules. Probability I: Definition of probability. Basic rules for probability. Distributions I:
                      Discrete probability distributions in general . The simple treatment of properties and
                      probably calculations involving discrete uniform distribution , the Bernoulli, binomial,
                      negative binomial Hypergeometric & Poisson distributions. Continuous distributions
                      in general . The simple treatment of properties and probability calculations
                      involving continuous uniform distribution , the normal and the associated sampling
                      distributions .
 Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                      mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.


              1.4      STA1214: Statistical Inference I
 Module Code          Module Name             NQF Level               Credits                 Semester
 STA1214                                      7                       16                      2
 Lectures per week    Pracs per week          Tutorials per week      Number of weeks         Notional hours
 2 x 50 min                                   1 x 50 min              13

 Content / Syllabus   Point & Interval Estimation of parameters in general. One - and - two sample tests
                      of hypotheses about population means, variances , & proportions. Correlation and
                      regression. Significance tests in correlation. Linear regression point prediction.
                      Curvillinear regression, significance tests in simple linear regression. Introduction
                      to non-parametric tests. The sign test, Wilcoxon’s paired-sample test, MannWhitney
                      U-test
 Assessment           Year mark (DP) will be obtained assessments based on assignments and tests. Final
                      mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



1.5.3.5.2              BSc Honours (Statistical Science)

1.5.3.5.2.1            Entrepeneurship & Professional Development
                       of Students
Mathematics is a scarce skill in South Africa and is crucial to the scientific and
technological development that leads to economic development of the country. In
view of this, the long term plan of the department envisages the establishment of a
linkage between the department and industry and commerce.

1.5.3.5.2.2            Career Opportunities
A Bachelor of Science degree in Applied Statistical Science will prepare the student
for jobs in many different sectors of the economy, including Agriculture, Banking,
Economic Planning, Education, Engineering, Forestry, Health Research, Insurance,
Manufacturing, Market Research, Monitoring & Evaluation, Scientific Research, Social
Research, Transport.



                                                      63                                                 2010
1.5.3.5.2.3            Purpose of Qualification
To provide advanced knowledge in Applied Statistical Sciences and prepare students
for placement in various types of sectors. See also Section 1.5.3.5.1.2 for BSc Applied
Statistical Science.

1.5.3.5.2.4            Exit Level Outcomes of The Programme
After the successful completion of the programme the student will be able to utilize
the acquired skills in various disciplines such as Science and Engineering, Economic
Sciences, Social Sciences and Humanities.

7.1.5.1.6              Programme Characteristics

7.1.5.1.6.2            Academic and Research Orientated Study
The programme is mainly academic and research orientated because academic study
is research based and aimed at developing conceptual mathematical outcomes and
training in new knowledge generation.

7.1.5.1.6.3            Practical Work

Research work provides the practical experience and the development of computing
and research skills that will form the basis of future work, academic and research
engagement.


7.1.5.1.6.4            Teaching and Learning Methodology
Learning activities include lectures, assignments, proposal development, hypothesising
research problems, data collection, capturing, analysis, interpretation, report writing,
communications such as conference posters, papers. The programme is accredited with
CHE and HEQC.

1.5.1.5.1.9            Programme Information
The entire programme is designed to consist of courses/modules in advanced
Mathematics.

1.5.2.5.3.6.1 Minimum Admission Requirements

An overall minimum of 55% in BSc. in Mathematics, Applied Mathematics or Statistics.



 [ Mathematical & Computational Sciences ]   64
1.5.2.5.3.6.2 Selection criteria for new students
All applicants will be interviewed for selection into the programme and immediately
allocated supervisors for the research component of the course.

1.5.3.5.2.7        Programme Rules

1.5.3.5.2.7.1 Admission Rules
In order to be admitted into the Honours program a candidate must have completed
the BSc degree together with at least Mathematics Level II or its equivalent. Admission
to Honours studies is not automatic on completion of the BSc degree requirements. An
applicant may be required to write a qualifying examination. The Honours project is
an integral part of the program complementing the theoretical material. The program
consists of five full courses taken over two semesters, chosen from the following.

1.5.2.5.4.7.2 Progression Rules

1.5.2.5.4.7.2 Re-Admission of Continuing Students
See school rule for re-admission of continuing students


1.5.3.5.2.7.3 Exit Rules

1.5.3.5.2.7.4 Completion Rules
All modules must be completed.

1.5.3.5.2.7.5 Exclusion Rules
See School rules for exclusion from the programmes in the school. In addition students
who are excluded from core course/modules and can therefore not complete the
programme will be excluded.

1.5.3.5.2.8        Curriculum




                                         65                                   2010
1.5.1.5.1.8              Core and Foundation Modules
 Level 1
 Module Name                                               Code          Credits        Semester
 Elective 1                                                Code          24             1-4
 Elective 2                                                Code          24             1-4
 Elective 3                                                Code          24             1-4
 Elective 4                                                Code          24             1-4
 Elective 5                                                Code          24             1-4
 Total credits                                                           120


1.5.1.5.1.8              Electives
Level 1
Module Name                                                       Code             Credits
Probability and distribution theory                               STA 4101, 4202   24
Parametric statistical inference (2 semesters)                    STA4103, 4204    24
Advanced sampling techniques (2 semesters)                        STA4105, 4206    24
Advanced design and analysis of experiments (1 semester)          STA4207          12
The general linear model (1 semester)                             STA4208          12
Analysis of contingency tables (1 semester)                       STA4109          12
Multivariate distribution theory (2 semesters)                    STA4110, 4211    24
Statistics topics (2 semesters)                                   STA4112, 4213    24
Honours project (compulsory)                                      STA4214          32


1.5.3.5.2.10 Pre-Requisite Courses
See remarks above under Section 1.5.3.5.3.10 — Curriculum

1.5.3.5.2.11 Available electives
See remarks above under Section 1.5.3.5.3.10 — Curriculum

1.5.3.5.2.12 Award Of Qualification
The qualification will be awarded after one completes 120 credits. Also see Rule G12 of
the General Prospectus.

1.5.3.5.2.13 Programme Tuition Fees
Students are referred to the Walter Sisulu University institutional Fee Booklet for costs of
tuition fees, application fees, registration fees, late registration-fees and other student
fees.



 [ Mathematical & Computational Sciences ]        66
1.5.3.5.2.14 Articulation

Vertical
Vertical Articulation is possible with: MSc Mathematics, NQF Level 9
Horizontal
Within WSU
Horizontal Articulation may be possible with NQF Level 8 qualifications offered by WSU, e.g. BSc Hons
Applied Mathematics, NQF Level 8, subject to the admission requirements of that qualification.
Other Universities
Horizontal Articulation is possible with NQF Level 8 qualifications offered by such institutions, subject to the
relevant institution’s admission requirements.



1.5.3.5.2.15 Core Syllabi of Courses Offered
             1.1        STA 4101, 4202: Probability and distribution theory
Module Code            Module Name            NQF Level              Credits                Semester
STA1111                                       8                      24                     1
Lectures per week      Pracs per week         Tutorials per week     Number of weeks        Notional hours
2 x 50 min                                    1 x 50 min             13

Content / Syllabus     ???????????????


Assessment             Year mark (DP) will be obtained from assessments based on assignments and tests.
                       Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



             1.2        STA4103, 4204: Parametric statistical inference
                        (2 semesters)
Module Code            Module Name            NQF Level              Credits                Semester
STA1212                                       8                      24                     2
Lectures per week      Pracs per week         Tutorials per week     Number of weeks        Notional hours
2 x 50 min                                    1 x 50 min             13

Content / Syllabus     ???????????????


Assessment             Year mark (DP) will be obtained from assessments based on assignments and tests.
                       Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.




                                                      67                                               2010
             1.3      STA4105, 4206: Advanced sampling techniques
                      (2 semesters)
Module Code          Module Name            NQF Level            Credits             Semester
STA1212                                     8                    24                  2
Lectures per week    Pracs per week         Tutorials per week   Number of weeks     Notional hours
2 x 50 min                                  1 x 50 min           13

Content / Syllabus   ???????????????


Assessment           Year mark (DP) will be obtained from assessments based on assignments and tests.
                     Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



             1.4      STA4207: Advanced design and analysis of
                      experiments (1 semester)
Module Cod e         Module Name            NQF Level            Credits             Semester
STA1212                                     8                    24                  2
Lectures per week    Pracs per week         Tutorials per week   Number of weeks     Notional hours
2 x 50 min                                  1 x 50 min           13

Content / Syllabus   ???????????????


Assessment           Year mark (DP) will be obtained from assessments based on assignments and tests.
                     Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



             1.5      STA4208: The general linear model
                      (1 semester)
Module Code          Module Name            NQF Level            Credits             Semester
STA1212                                     8                    24                  2
Lectures per week    Pracs per week         Tutorials per week   Number of weeks     Notional hours
2 x 50 min                                  1 x 50 min           13

Content / Syllabus   ???????????????


Assessment           Year mark (DP) will be obtained from assessments based on assignments and tests.
                     Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



             1.6      STA4209: Analysis of contingency tables (1 semester)
Module Code          Module Name            NQF Level            Credits             Semester
STA1212                                     8                    24                  2
Lectures per week    Pracs per week         Tutorials per week   Number of weeks     Notional hours
2 x 50 min                                  1 x 50 min           13




[ Mathematical & Computational Sciences ]          68
 Content / Syllabus   ???????????????


 Assessment           Year mark (DP) will be obtained from assessments based on assignments and tests.
                      Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



              1.7      STA4110, 4211: Multivariate distribution theory
                       (2 semesters)
 Module Code          Module Name          NQF Level             Credits              Semester
 STA1212                                   8                     24                   2
 Lectures per week    Pracs per week       Tutorials per week    Number of weeks      Notional hours
 2 x 50 min                                1 x 50 min            13

 Content / Syllabus   ???????????????


 Assessment           Year mark (DP) will be obtained from assessments based on assignments and tests.
                      Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



              1.8      STA4112, 4213: Statistics topics (2 semesters)
 Module Code          Module Name          NQF Level             Credits              Semester
 STA1212                                   8                     24                   2
 Lectures per week    Pracs per week       Tutorials per week    Number of weeks      Notional hours
 2 x 50 min                                1 x 50 min            13

 Content / Syllabus   ???????????????


 Assessment           Year mark (DP) will be obtained from assessments based on assignments and tests.
                      Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



              1.9      STA4214: Honours project (compulsory)
 Module Code          Module Name          NQF Level             Credits              Semester
 STA1212                                   8                     32                   2
 Lectures per week    Pracs per week       Tutorials per week    Number of weeks      Notional hours
 2 x 50 min                                1 x 50 min            13

 Content / Syllabus   ???????????????


 Assessment           Year mark (DP) will be obtained from assessments based on assignments and tests.
                      Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.



1.5.3.5.3              MSc (Statistical Science)
Candidates will be examined either on two (2) papers set on approved subjects and a
dissertation, or on a dissertation only.

                                                  69                                             2010
1.5.2.5.4.1            Entrepeneurship & Professional Development
                       of Students
Statistical Science is a scarce skill in South Africa and is crucial to the scientific and
technological development that leads to economic development of the country. In
view of this, the long term plan of the department envisages the establishment of a
linkage between the department and industry and commerce.

1.5.2.5.4.2            Career Opportunities
A Master of Science degree in Statistical Science will prepare the student for jobs in
statistics, actuarial sciences, mathematical modeling, and cryptography; for teaching;
as well as postgraduate training leading to a research career in Statistical Science. A
strong background in Statistical Science is also necessary for research in many areas of
computer science, social science, and engineering


1.5.2.5.4.3            Purpose of Qualification
To provide Statistical Science knowledge needed for placement in jobs requiring a
significant amount of statistical maturity, and for further training at a higher level in
various specializations of Statistical Science.


1.5.2.5.4.4            Exit Level Outcomes of The Programme
After the successful completion of the programme the student will be able to utilize
the acquired skills in various disciplines such as Science and Engineering, Economic
Sciences, Social Sciences and Humanities.

7.1.5.1.6              Programme Characteristics

7.1.5.1.6.2            Academic and Research Orientated Study
The programme is mainly academic and research orientated because academic study
is research based and aimed at developing conceptual mathematical outcomes and
training in new knowledge generation.

7.1.5.1.6.3            Practical Work
Research work provides the practical experience and the development of computing
and research skills that will form the basis of future work, academic and research
engagement.



 [ Mathematical & Computational Sciences ]   70
7.1.5.1.6.4        Teaching and Learning Methodology

Learning activities include proposal development, hypothesising research problems,
data collection, capturing, analysis, interpretation, report writing, communications
such as conference posters, papers. The programme is accredited with CHE and HEQC.

1.5.2.5.4.6        Programme Information

1.5.2.5.4.6.1 Minimum Admission Requirements
A BSc Honours degree in Statistical Science.

1.5.2.5.4.6.2 Selection criteria for new students
All applicants will be interviewed for selection into the programme and immediately
allocated supervisors.


1.5.2.5.4.7        Programme Rules

1.5.2.5.4.7.1 Admission Rules
See School Admission Rules for admission to programmes in the school.

1.5.2.5.4.7.2 Progression Rules
See school rule for progression of students from one year level to the next.


1.5.2.5.4.7.2 Re-Admission of Continuing Students
See school rule for re-admission of continuing students


1.5.2.5.4.7.3 Exit Rules

1.5.2.5.4.7.4 Completion Rules
Two modules and a dissertation or a dissertation only must be completed.




                                          71                                   2010
1.5.2.5.4.7.5 Exclusion Rules
See School rules for exclusion from the programmes in the school. In addition students
who are excluded from core course/modules and can therefore not complete the
programme will be excluded.


1.5.2.5.5.9              Curriculum

1.5.1.5.1.8              Core and Foundation Modules
 Year Level      Semester       Course                                                   Code           Credits
 1               1              Approved Proposal                                        CHE5108        24
 1               2              Presentation of Proposal                                 CHE5208        24
 2               3              Dissertation                                             CHE5308        144
 2               4              Presentation of Research Findings at Conferences         CHE5408        48
 Total Credits                                                                                          240


1.5.2.5.4.11 Available Topics/areas of research
Some of the typical areas of current research in the department ???????????.

1.5.2.5.4.12 Award Of Qualification
The minimum number of credits for an MSc is 240, which may be accumulated entirely
from a dissertation or split between coursework and a dissertation.

1.5.2.5.4.13 Programme Tuition Fees
Students are referred to the Walter Sisulu University institutional Fee Booklet for costs of
tuition fees, application fees, registration fees, late registration-fees and other student
fees.

1.5.2.5.4.14 Articulation

 Vertical
 Vertical Articulation is possible with: PhD Mathematics, NQF Level 10
 Horizontal
 Within WSU
 Horizontal Articulation is possible with possible with NQF Level 9 qualifications offered by WSU.
 Other Universities
 Horizontal Articulation is possible with NQF Level 9 qualifications offered by such institutions, subject to the
 relevant institution’s admission requirements.


 [ Mathematical & Computational Sciences ]             72
Course descriptors - Electives

General Chemistry (Analytical and Inorganic)
Module Code          Module Name                               NQF Level            Credits         Semester
CHE 1101                                                       7                    16              1
Contact hours        Lectures/Tutorials per week               Practicals per       Number of       Notional
                                                               week                 weeks           hours
                     5 (4 lectures + 1 tutorial)               1(3 hours)           12              160

Content / Syllabus   Theory: 1. Matter and measurements; Mole concept and stoichiometry; Reactions
                     between ions in aqueous solutions; Atoms, Molecules and Ions; Atomic theory,
                     Periodic properties of the elements; Basic concepts of chemical bonding, Shapes of
                     molecules
Module Outcomes      After engagement with the module content and processes, the students should be
                     able to: articulate basic chemistry terms/concepts, perform calculations based on
                     chemical relationships, comprehend and follow experimental procedure, carry out
                     experiments in chemistry, interpret experimental results, define different chemical
                     methods, be aware of safety procedures in handling hazardous materials.
Learning             Learning and Teaching Session            Number            Hours           Total
and
Teaching             Lectures & Tutorials (4L + 1T)                12               5           60
breakdown
                     Practicals                                    12               3           36

                     Total                                                                      96
Assessment           Assessment Sessions                      Number            Hours           Total
breakdown
                     Tests                                    2                 2               4
                     Assignments                              2
                     Practical reports                        12
                     Examination                              1                 3               3
                     Supp-examination                         1                 3               3
                     Total                                                                      7
Projected self       Self study Sessions                      Number            Hours           Total
study time
                     Private study                                                              57
breakdown
                     Grand Total                                                                160
Continuous           Assignments: 15% Tests: 60% Practical mark: 25%
Assessment (CA)
                     Continuous assessment (CA) : Overall assessment (OA) = 60 : 40.
Examination          Written examination (WA) : overall assessment (OA) = 40 : 60.




                                                      73                                                2010
General Chemistry (Physical and Organic)
Module Code          Module Name                            NQF Level        Credits          Semester
CHE 1201                                                    7                16               1
Contact hours        Lectures/Tutorials per week            Practicals per   Number of        Notional hours
                                                            week             weeks
                     5 (4 lectures + 1 tutorial)            1(3 hours)       12               160

Content / Syllabus   Theory: First year organic chemistry course = 24 lectures. 1. Introduction : Scope
                     of organic chemistry. 2. General Principles. 3. Hydrocarbons. 4. Organic halogen
                     compounds 5. Alcohols. 6. Aldehydes and ketones. 7. Carboxylic acids and their
                     derivatives. 8. Amines.
                     First Year Physical Chemistry Course = 24 lectures. 1. Intermolecular Forces, Liquids
                     & Solids 2. Chemical thermodynamics. 3. Chemical equilibrium. 4. Acid and base
                     equilibria. 5. Electrochemistry. 6. Introduction to chemical kinetics.
Module               After engagement with the module content and processes, the students should be
Outcomes             able to: articulate basic chemistry terms/concepts, perform calculations based on
                     chemical relationships, comprehend and follow experimental procedure, carry out
                     experiments in chemistry, interpret experimental results, define different chemical
                     methods, be aware of safety procedures in handling hazardous materials
Learning             Learning and Teaching Session           Number          Hours            Total
and
                     Lectures & Tutorials (4L + 1T)               12              5                 60
Teaching
breakdown            Practicals                                   12              3           36
                     Total                                                                    96
Assessment           Assessment Sessions                     Number          Hours            Total
breakdown
                     Tests                                   2               2                4
                     Assignments                             2
                     Practical reports                       12
                     Examination                             1               3                3
                     Supp-examination                        1               3                3
                     Total                                                                    7
Projected self       Self study Sessions                     Number          Hours            Total
study time
                     Private study (include assignments                                       57
breakdown
                     and self study)
                     Grand Total                                                              160
Continuous           Assignments: 15% Tests: 60% Practical mark: 25%
Assessment (CA)
                     Continuous assessment (CA) : Overall assessment (OA) = 60 : 40.
Examination          Written examination (WA) : overall assessment (OA) = 40 : 60.




[ Mathematical & Computational Sciences ]             74
Analytical Chemistry II
Module Code          Module Name                NQF Level        Credits                 Semester
CHE 2102                                        7                16                      1
Contact hours        Lectures/Tutorials per     Practicals per   Number of weeks         Notional hours
                     week                       week
                     4 hours (at least 1 hour   6 hours          12                      160
                     tutorial)
Content / Syllabus   Tools of Analytical Chemistry: Introduction to Analytical Chemistry. Calculations
                     used in Analytical Chemistry. Errors in Chemical Analysis. Random Errors in Chemical
                     Analysis. Statistical Data Treatment and Evaluation. Sampling, Standardization and
                     Calibration. Quality Assurance in Chemical Analysis
                     Chemical Equilibria: Aqueous Solutions and Chemical Equilibria. Effects of
                     Electrolytes on Chemical Equilibria. Solving Equilibrium Calculations for Complex
                     Systems. Classical Methods of Analysis. Gravimetric Methods of Analysis. Titrimetric
                     Methods of Analysis: Precipitation Titrimetry. Principles of Neutralization Titrations.
                     Titration Curves for Complex Acid/ Base Systems. Applications of Neutralization
                     Titrations. Complexation Reactions and Titrations. Electrochemical Methods of
                     Analysis. Introduction to Electrochemistry. Applications of Standard Electrode
                     Potentials. Applications of Oxidation / Reduction Titrations. Potentiometry
Module Outcomes      After engagement with the module content and processes, the students should be
                     able to: Draw a representative sample and prepare it for chemical analysis; apply
                     appropriate statistical techniques to obtain useful chemical information from
                     raw data; operate a chemical quality assurance programme; have a knowledge of
                     sampling and the principles of gravimetry and titrimetry; demonstrate competence
                     in the practical use of gravimetric and titrimetric techniques in carrying out
                     analysis; have ability to perform the calculations required to obtain useful chemical
                     information from given analytical data.
Learning             Learning and Teaching Session               Number          Hours         Total
and
                     Lectures & Tutorials                        12              4             48
Teaching
breakdown            *Practicals                                 6               6             36
                     Total                                                                     84
Assessment           Assessment Sessions                         Number          Hours         Total
breakdown
                     Tests (All levels)                          2               2             4
                     Assignments                                      2
                     Practical reports                           6
                     Examination                                 1               3             3
                     Supp-examination                            1               3             3
                     Grand Total                                                               7
Projected self       Self study Sessions                         Number          Hours         Total
study time
                     Private study                                                             69*
breakdown
                     Grand Total                                                               160
Continuous           Assignments: 15% Tests: 60% Practical mark: 25%
Assessment (CA)
                     Continuous assessment (CA) : Overall assessment (OA) = 60 : 40.
Examination          Written examination (WA) : overall assessment (OA) = 40 : 60.




                                                    75                                                 2010
Analytical Chemistry III
Module Code         Module Name                          NQF Level        Credits            Semester
CHE 3202            Analytical Chemistry III             7                16                 1
Contact hours       Lectures/Tutorials per week          Pracs per week   Number of weeks    Notional
                                                                                             hours
                    4 hours (at least 1 hour tutorial)   6 hours          12                 160

Content /           Electrochemical Methods of analysis. Coulometry. Voltammetry. Spectral Methods
Syllabus            of Analysis. Introduction to spectrophotometry. Molecular spectroscopy, Molecular
                    spectroscopy equipment, Atomic spectroscopy. Chemical Separation Methods, Solvent
                    extraction, Chromatography theory, Gas chromatography, Liquid chromatography,
                    Other Chromatographic Techniques, Supercritical fluid chromatography,
                    Electrophoresis, Affinity chromatography, Field Flow Fractionation, Mass Spectrometry
                    for chromatographers, Hyphenated (Ancillary) Methods, Multidimensional
                    chromatography, Introduction to Thermal Methods of Analysis, Introduction to
                    Radiochemical Methods of Analysis.
Module
Outcomes
Learning            Learning and Teaching Session        Number           Hours              Total
and
                    Lectures & Tutorials                 12               4                  48
Teaching
breakdown           Practicals                           12               6                  36
                    Total                                                                    84
Assessment          Assessment Sessions                  Number           Hours              Total
breakdown
                    Tests                                 2               2                  4
                    Assignments                          2
                    Practical reports                    6
                    Examination                          1                3                  3
                    Supp-examination                     1                3                  3
                    Grand Total                                                              7
Projected self      Self study Sessions                  Number           Hours              Total
study time
                    Private study                                                            59
breakdown
                    Grand Total                                                              160
Continuous          Assignments: 15% Tests: 60% Practical mark: 25%
Assessment (CA)
                    Continuous assessment (CA) : Overall assessment (OA) = 60 : 40.
Examination         Written examination (WA) : overall assessment (OA) = 40 : 60.




[ Mathematical & Computational Sciences ]            76
Inorganic Chemistry II
Module Code          Module Name                           NQF Level       Credits         Semester
CHE 2203             Inorganic Chemistry                   7               16              1
Contact hours        Lectures/Tutorials per week           Pracs per       Number of       Notional hours
                                                           week            weeks
                     4 hours (at least 1 hour tutorial):   6 hours         12              160

Content / Syllabus   Theory: 1. The chemical bond. 2. Descriptive chemistry of the P-block elements.
                     3.Coordination chemistry. 4. Inorganic rings, chains and cages
Learning             Learning and Teaching Session          Number         Hours           Total
and
                     Lectures & Tutorials                   12             4               48
Teaching
breakdown            Practicals                             12             6               72
                     Total                                                                 120
Assessment           Assessment Sessions                    Number         Hours           Total
breakdown
                     Tests (All levels)                        2           2               4
                     Assignments                                   2
                     Practical reports                      6
                     Examination                            1              3               3
                     Supp-examination                       1              3               3
                     Grand Total                                                           7
Projected self       Self study Sessions                    Number         Hours           Total
study time
                     Private study                                                         33
breakdown
                     Grand Total                                                           160
Continuous           Assignments: 15% Tests: 60% Practical mark: 25%
Assessment (CA)
                     Continuous assessment (CA) : Overall assessment (OA) = 60 : 40.
Examination          Written examination (WA) : overall assessment (OA) = 40 : 60.
Supplementary



Inorganic Chemistry III
Module Code          Module Name                               NQF Level       Credits     Semester
CHE 3103             Inorganic Chemistry III                   7               16          1
Contact hours        Lectures/Tutorials per week               Pracs per       Number of   Notional hours
                                                               week            weeks
                     4 hours (at least 1 hour tutorial):       6 hours         12          160

Content / Syllabus   Theory: 1. The chemistry of d-block elements. 2. Structure of Transition metal
                     compounds. 3.The chemistry of f-block elements. 4.Introduction to organo-metallic
                     chemistry. 5.Introduction to bio-inorganic chemistry




                                                     77                                            2010
Learning             Learning and Teaching Session               Number      Hours          Total
and
                     Lectures & Tutorials                        12          4              48
Teaching
breakdown            Practicals                                  12          6              72
                     Total                                                                  120
Assessment           Assessment Sessions                         Number      Hours          Total
breakdown
                     Tests (All levels)                          2           2              4
                     Assignments                                      2
                     Practical reports                           6
                     Examination                                 1           3              3
                     Supp-examination                            1           3              3
                     Grand Total                                                            7
Projected self       Self study Sessions                         Number      Hours          Total
study time
                     Private study                                                          33
breakdown
                     Grand Total                                                            160
Continuous           Assignments: 15% Tests: 60% Practical mark: 25%
Assessment (CA)
                     Continuous assessment (CA) : Overall assessment (OA) = 60 : 40.
Examination          Written examination (WA) : overall assessment (OA) = 40 : 60.



Organic Chemistry II
Module Code           Module Name                           NQF Level        Credits       Semester
CHE 2204              Organic Chemistry                     7                16            1
Contact hours         Lectures/Tutorials per week           Practicals per   Number of     Notional hours
                                                            week             weeks
                      4 hours (at least 1 hour tutorial):   6 hours          12            160

Content / Syllabus    Theory: 1.Basic Introduction and Revision 2. Stereo- and Alicyclic Chemistry 3.
                      Nucleophilic substitution Reactions 4. Electrophilic substitution Reactions 5.
                      Molecular Rearrangements, 6. Oxidation Reactions 7. Reduction Reactions 8.
                      Spectroscopic Methods in Organic Synthesis
Learning              Learning and Teaching Session         Number           Hours         Total
and
                      Lectures & Tutorials                  12               4             48
Teaching
breakdown             Practicals                            12               6             72
                      Total                                                                120




[ Mathematical & Computational Sciences ]             78
Assessment           Assessment Sessions                  Number           Hours         Total
breakdown
                     Tests (All levels)                   2                2             4
                     Assignments                              2
                     Practical reports                    6
                     Examination                          1                3             3
                     Supp-examination                     1                3             3
                     Grand Total                                                         7
Projected self       Self study Sessions                          Number   Hours         Total
study time
breakdown            Private study                                                       33
                     Grand Total                                                         160
Continuous           Assignments: 15% Tests: 60% Practical mark: 25%
Assessment (CA)
                     Continuous assessment (CA) : Overall assessment (OA) = 60 : 40.
Examination          Written examination (WA) : overall assessment (OA) = 40 : 60.



Organic Chemistry III
Module Code          Module Name                              NQF Level     Credits            Semester
CHE3104              Organic Chemistry III                    7             16                 1
Contact hours        Lectures/Tutorials per week              Pracs per     Number of          Notional
                                                              week          weeks              hours
                     6 hours (at least 1 hour tutorial)       6 hours       12                 160


Content / Syllabus   Theory: 1. Groups Protection in Organic Synthesis 2. Alkylation of Carbanions 3.
                     Formation of C-C bonds by base-catalysed Condensations 4. Formation of C-C
                     bonds by acid-catalysed Condensations 5. The Wittig Reaction 6. Cyclo-addition
                     Reactions (with emphasis on Diels-Alder Reaction) 7. Oxidations 9. Reductions 10.
                     Further Aromatic Chemistry 11. Heterocyclic Chemistry 12. Basic Theory of NMR
                     (both 1H and 13C NMR).
Outcomes             After this course the student is expected to be able to: have deep understanding of
                     organic chemistry in general and organic synthesis in particular, design a method
                     for the preparation of a given compound, recognize named reactions, read and
                     understand literature preparative protocols, interpret NMR spectra to find the
                     structure and predict NMR spectra for a substance
Learning             Learning and Teaching Session                Number    Hours              Total
and
                     Lectures & Tutorials                         12        4                  48
Teaching
breakdown            Practicals                                   12        6                  72
                     Total Year                                                                120




                                                    79                                              2010
Assessment            Assessment Sessions                         Number       Hours             Total
breakdown
                      Tests                                       2            2                 4
                      Assignments                                     2
                      Practical reports                           6
                      Examination                                 1            3                 3
                      Supp-examination                            1            3                 3
                      Grand Total                                                                7
Projected self        Self study Sessions                         Number       Hours             Total
study time
                      Private study                                                              33
breakdown
                      Grand Total                                                                160
Continuous            Assignments: 15% Tests: 60% Practical mark: 25%
Assessment (CA)
                      Continuous assessment (CA) : Overall assessment (OA) = 60 : 40.
Examination           Written examination (WA) : overall assessment (OA) = 40 : 60.



Physical Chemistry II
Module Code           Module Name                             NQF Level            Credits             Semester
CHE 2105              Physical Chemistry II                   7                    16                  1
Contact hours         Lectures/Tutorials per week             Practicals per       Number of           Notional
                                                              week                 weeks               hours
                      4 hours (+ at least 1 hour tutorial):   6 hours              12                  160

Content / Syllabus    Theory: 1.Introduction: units, mathematical review. 2. The First Law of
                      Thermodynamics: Heat, Work, the First Law. 3. Applying the First Law: Heat
                      Capacities, Isothermal and Adiabatic Changes, Reversible and Irreversible
                      Processes. 4. Thermochemistry: Heats of Reaction, Temperature Dependence of
                      Reaction Enthalpies, Heat and Physical Changes. 5. The Second and Third Law of
                      Thermodynamics: Heat Engines, Carnot Cycle, Entropy, Entropy Calculations and
                      Absolute Entropies, the Third Law. 6. Work, free Energy and Chemical Equilibrium:
                      Maximum Work, Free Energy, Thermodynamic Relations and their Manipulations. 7.
                      The Equilibrium Constants for Ideal Gas Reactions. 8. Equilibrium Constants for Real
                      Gases: Real Gas Behaviour, Van Der Waals Equation, Fugacity, Equilibrium Constants.
                      9. Phase Equilibrium: Stability of Phases, the Phase Rule, One-Component Systems,
                      Slopes on a Phase Diagram; the Clapeyron Equation. 10. Colligative Properties of
                      Ideal Solutions: Solutions, Raoult’s Law: the Ideal Solution., Partial Molar Quantities,
                      Mixing of Ideal Solutions, Dilute Solutions and Henry’s Law, Activities, Osmotic
                      Pressure, Freezing Point Depression and Boiling Point Elevation. 11. Electrochemical
                      Cells: Classification, EMF and Electrode Potentials, Half-Cells, the Nernst Equation,
                      Thermodynamic Data from Cell EMF’s. 12. Chemical Kinetics: The Concept of Rate of
                      Reaction, Empirical Order of Reaction: Zero, First and Second-Order Reactions, Half-
                      Lives,Determining the Order of Reaction.
Learning              Learning and Teaching Session                   Number       Hours              Total
and
                      Lectures & Tutorials                            12           4                  48
Teaching
breakdown             Practicals                                      12           6                  72
                      Total                                                                           120




[ Mathematical & Computational Sciences ]            80
Assessment           Assessment Sessions                              Number       Hours             Total
breakdown
                     Tests (All levels)                               2            2                 4
                     Assignments                                          2
                     Practical reports                                6
                     Examination                                      1            3                 3
                     Supp-examination                                 1            3                 3
                     Grand Total                                                                     7
Projected self       Self study Sessions                              Number       Hours             Total
study time
                     Private study                                                                   33
breakdown
                     Grand Total                                                                     160
Continuous           Assignments: 20% Tests: 40% Practical mark: 40%
Assessment (CA)
                     Continuous assessment (CA) : Overall assessment (OA) = 60 : 40.
Examination          Written examination (WA) : overall assessment (OA) = 40 : 60.



Physical Chemistry III
Module Code          Module Name                     NQF Level                Credits            Semester
CHE 3205             Physical Chemistry III          7                        16                 1
Contact hours        Lectures/Tutorials per week     Practicals per           Number of weeks    Notional
                                                     week                                        hours
                     4 hours (+ at least 1 hour      6 hours                  12                 160
                     tutorial):
Content / Syllabus   Theory: 1. Reaction Mechanisms: the Concept of a Mechanism, Opposing Reactions
                     and Equilibrium Constants, Consecutive and Parallel Reactions, Rate–Determining
                     Step and Steady- State Approaches, Complex Reactions. 2. Theoretical Approaches
                     to Chemical Kinetics: Temperature Dependence of Reaction Rate, the Collision
                     Theory, the Activated Complex Theory, Unimolecular Reactions and the Lindemann
                     Theory. 3. Surface Work: Surface Tension and Surface Energy, Bubbles and Drops,
                     the Kelvin Equation, Gibbs Formulation for Adsorption, the Langmuir Adsorption
                     Isotherm. 4. Matter and Waves: Simple Harmonic Motion, Wave Motion, Standing
                     Waves, Blackbody Radiation and the Nuclear Atom, the Photoelectric Effect,
                     Spectroscopy and the Bohr Atom, the De Broglie Relation. 5. Quantum Mechanics:
                     the Schrodinger Equation, Postulates of Quantum Mechanics, Operators, Solutions
                     of Schrodinger Equation: the Free Particle, the Particle in a Ring of Constant Potential
                     , the Particle in a Box, the Particle in a Box with One Finite Wall; Tunneling. 6.
                     Rotations and Vibrations of Atoms and Molecules: the Harmonic Oscillator: the
                     Nature of the Harmonic Oscillator Wavefunctions, the Thermodynamics of Harmonic
                     Oscillator Wavefunctions, the Rigid Diatomic Rotor, the Thermodynamics of the rigid
                     Rotor.
Learning             Learning and Teaching Session             Number          Hours            Total
and
                     Lectures & Tutorials                      12              4                48
Teaching
breakdown            Practicals                                12              6                72
                     Total                                                                      120




                                                   81                                                2010
Assessment             Assessment Sessions                       Number      Hours              Total
breakdown
                       Tests (All levels)                        2           2                  4


                       Assignments                               2
                       Practical reports                         6
                       Examination                               1           3                  3
                       Supp-examination                          1           3                  3
                       Grand Total                                                              7
Projected self         Self study Sessions                       Number      Hours              Total
study time
                       Private study                                                            33
breakdown
                       Grand Total                                                              160
Continuous             Assignments: 20% Tests: 40% Practical mark: 40%
Assessment (CA)
                       Continuous assessment (CA) : Overall assessment (OA) = 60 : 40.
Examination            Written examination (WA) : overall assessment (OA) = 40 : 60. Student must obtain
                       a term mark of at least 40% and an exam mark of at least 40% to qualify for a
                       supplementary



Extended General Physics I
Code                   Course                                NQF Level       Credits      Semester
PHY1111                                                      5               16           1
Lectures per week      Practicals per week                   Tutorials per   Number       Notional hrs
                                                             week            of weeks
4 x 50 min             1 x 150 min                           1 x 50 min      15           160
Content / Syllabus:
Science – a way of knowing; Measurements in Physics; Kinematics; Dynamics; Kinetic Theory, Properties of
Matter & Modern Physics


Assessment:
Continuous Assessment mark : To qualify for examinations, student must attain 40% continuous assessment
mark (CAS 100% = 50% from major tests + 30% from practicals + 20% from tutorials, other assessments &
assignments). The contribution of CAS mark to Semester mark is 60%.
Examination Mark : Paper I Theory (60%) + Paper II Practical (40%) = 100%.
To qualify for overall assessment of semester mark, the student must obtain a minimum examination mark
of 40%.
The contribution of examination mark to semester mark is 40%.
Overall Semester mark : 60% CAS + 40% Exam mark.
To qualify for module credit (16), student must obtain a minimum of 50% semester mark.
Supplementary Examination : To qualify for this, a student must obtain a semester mark of 40% - 49%
Entry Assumptions/Pre-requisites:
NSC – qualified to progress to a diploma course - achievement rating of 3(40-49%) or better in 4 recognized
content 20 credit subjects including Mathematics & Physical science. Rating 2 in English & Life Skills.
Matriculation : Senior Certificate with a minimum of E(HG)/D(SG) in Mathematics & Physical Science. E(SG) in
English.
Other requirements : Minimum achievement of 3 in SATAP tests in English, Mathematics & Science.
Co-requisite : MAT1111



[ Mathematical & Computational Sciences ]           82
Extended General Physics II
Code                       Course                      NQF Level               Credits            Semester
PHY1212                                                5                       16                 2
Lectures per week          Practicals per week         Tutorials per week      Number of          Notional hrs
                                                                               weeks
4 x 50 min                 1 x 150 min                 1 x 50 min              15                 160
Content / Syllabus:
Thermodynamics; Magnetism, Static & Current Electricity; Electromagnetism; Wave theory, Longitudinal
Sound waves; Electromagnetic waves, Light & Optics


Assessment:
Continuous Assessment mark : To qualify for examinations, student must attain 40% continuous assessment
mark (CAS 100% = 50% from major tests + 30% from practicals + 20% from tutorials, other assessments &
assignments). The contribution of CAS mark to Semester mark is 60%.
Examination Mark : Paper I Theory (60%) + Paper II Practical (40%) = 100%.
To qualify for overall assessment of semester mark, the student must obtain a minimum examination mark
of 40%.
The contribution of examination mark to semester mark is 40%.
Overall Semester mark : 60% CAS + 40% Exam mark.
To qualify for module credit (16), student must obtain a minimum of 50% semester mark.
Supplementary Examination : To qualify for this, a student must obtain a semester mark of 40% - 49%


Entry Assumptions/Pre-requisites:
NSC – qualified to progress to a diploma course - achievement rating of 3(40-49%) or better in 4 recognized
content 20 credit subjects including Mathematics & Physical science. Rating 2 in English & Life Skills.
Matriculation : Senior Certificate with a minimum of E(HG)/D(SG) in Mathematics & Physical Science. E(SG) in
English.
Other requirements : Minimum achievement of 3 in SATAP tests in English, Mathematics & Science.
Co-requisite : MAT1212


Extended General Physics III
Code                     Course                        NQF Level               Credits             Semester
PHY1113                                                5                       16                  1
Lectures per week        Practicals per week           Tutorials per week      Number of           Notional hrs
                                                                               weeks
4 x 50 min               1 x 150 min                   1 x 50 min              15                  160
Content / Syllabus:
Vectors; Motion in 2 or 3 dimensions; Newton’s Laws; Circular Motion; Energy transfer; Linear Momentum &
collisions; Static Equilibrium & elasticity; Temperature & heat; Kinetic theory of Gases; Heat engines, entropy
& second law of thermodynamics




                                                     83                                                2010
Assessment:
Continuous Assessment mark : To qualify for examinations, student must attain 40% continuous assessment
mark (CAS 100% = 50% from major tests + 30% from practicals + 20% from tutorials, other assessments &
assignments). The contribution of CAS mark to Semester mark is 60%.
Examination Mark : Paper I Theory (60%) + Paper II Practical (40%) = 100%.
To qualify for overall assessment of semester mark, the student must obtain a minimum examination mark
of 40%.
The contribution of examination mark to semester mark is 40%.
Overall Semester mark : 60% CAS + 40% Exam mark.
To qualify for module credit (16), student must obtain a minimum of 50% semester mark.
Supplementary Examination : To qualify for this, a student must obtain a semester mark of 40% - 49%


Entry Assumptions/Pre-requisites:
A pass in PHY1111, PHY1212, MAT1111 & MAT1212
Co-requisite : MAT1113




Extended General Physics IV
Code                     Course                   NQF Level            Credits              Semester
PHY1214                                           5                    16                   2
Lectures per week        Practicals per week      Tutorials per week   Number of            Notional hrs
                                                                       weeks
4 x 50 min               1 x 150 min              1 x 50 min           15                   160
Content / Syllabus:
Wave motion; Sound waves; Superposition & standing waves; Electric fields; Gauss’s law; Electric potential;
Capacitance & Dielectrics; Direct current circuits; Magnetism


Assessment:
Continuous Assessment mark : To qualify for examinations, student must attain 40% continuous assessment
mark (CAS 100% = 50% from major tests + 30% from practicals + 20% from tutorials, other assessments &
assignments). The contribution of CAS mark to Semester mark is 60%.
Examination Mark : Paper I Theory (60%) + Paper II Practical (40%) = 100%.
To qualify for overall assessment of semester mark, the student must obtain a minimum examination mark
of 40%.
The contribution of examination mark to semester mark is 40%.
Overall Semester mark : 60% CAS + 40% Exam mark.
To qualify for module credit (16), student must obtain a minimum of 50% semester mark.
Supplementary Examination : To qualify for this, a student must obtain a semester mark of 40% - 49%


Entry Assumptions/Pre-requisites:
A pass in PHY1111, PHY1212, MAT1111 & MAT1212
Co-requisite : MAT1214




[ Mathematical & Computational Sciences ]             84
General Physics I
Code                   Course                 NQF Level                Credits                 Semester
PHY 1101                                      5                        16                      1
Lectures per week      Practicals per week    Tutorials per week       Number of weeks         Notional hrs
4 x 50 min             1 x 180 min            1 x 50 min               15                      160
Content / Syllabus:
Introduction to Mechanics: Rectilinear Motion; Vector Algebra and Calculus; Motion in two and Three
Dimensions; Newton’s laws; Gravitational force and friction; Statics and Elasticity; Circular motion and other
applications of Newton’s Laws; Work, energy and power; Potential energy and conservation of energy; Linear
momentum and collisions; Rotation of a rigid object about a fixed axis; Rolling motion; angular momentum
and torque; Oscillatory motion; Fluid mechanics.
Heat and Thermodynamics: Temperature; Heat and the First Law of Thermodynamics; Kinetic Theory of
Gases; Heat, Energy; Entropy and Second Law of Thermodynamics
Assessment:
Continuous Assessment Mark: To qualify for an end of semester examination, a candidate must attain at least
a 40% continuous Assessment mark (CASS 100% = 50% from Major Tests + 30% Practical Assessment + 20%
from tutorials, minor tests and other Assignments).
Examination Mark: End of Semester Examination: 100% (a candidate should obtain a minimum of 40%)
Overall Semester Mark: Final Semester Mark: 0.6 Continuous Assessment Mark + 0.4 Examination Mark.
Classification of Performance: Award of Module Credits: To qualify for the award of 16 credits, a candidate
must obtain a minimum of 50% in the overall Semester Mark.
Supplementary Examination: To qualify to sit for this, a candidate should have obtained a semester mark of
40%-49%.
Entry Assumptions/Pre-requisites: To register for this course, a candidate should have passed NSC with a “B”
designation or equivalent. In addition, a grade of at least 4 should have been obtained in Mathematics and
Physical Science.


General Physics II
Code                  Course                      NQF Level            Credits             Semester
PHY 1202                                          5                    16                  1
Lectures per week     Practicals per week         Tutorials per week   Number of weeks     Notional hrs
4 x 50 min            1 x 180 min                 1 x 50 min           15                  160
Content / Syllabus:
Mechanical Waves: Wave motion; Sound waves; Superposition and Standing waves
Geometrical Optics: The nature of light and laws of Geometric Optics.
Electromagnetism: Electrostatics; Electric Potential, Gauss’ s Law; Capacitance and Dielectrics, Current and
Resistance, Direct Current Circuits; Magnetic Fields and Forces; Induced Fields and Forces.
Assessment:
Continuous Assessment Mark: To qualify for an end of semester examination, a candidate must attain at least
a 40% continuous Assessment mark (CASS 100% = 50% from Major Tests + 30% Practical Assessment + 20%
from tutorials, minor tests and other Assignments).
Examination Mark: End of Semester Examination: 100% (a candidate should obtain a minimum of 40%)
Overall Semester Mark: Final Semester Mark: 0.6 Continuous Assessment Mark + 0.4 Examination Mark.
Classification of Performance: Award of Module Credits: To qualify for the award of 16 credits, a candidate
must obtain a minimum of 50% in the overall Semester Mark.
Supplementary Examination: To qualify to sit for this, a candidate should have obtained a semester mark of
40%-49%.
Entry Assumptions/Pre-requisites: To register for this course, a candidate should have passed NSC with a “B”
designation or equivalent. In addition, a grade of at least 4 should have been obtained in Mathematics and
Physical Science.


                                                       85                                              2010
Code                  Course                NQF Level             Credits               Semester
PHY2101               Mechanics & Waves     6                     16                    1
Lectures per week     Practicals per week   Tutorials per week    Number of weeks       Notional hrs
4 x 50 min            1 x 180 min           2 x 40 min            15                    160
Content / Syllabus: Vector fundamentals; Rectilinear motion of a particle; Position dependent forces; The
Harmonic oscillator; The general motion of a particle in three dimensions; Central forces; Dynamics of
systems of particles; Coupled oscillators; The wave equation.


Assessment: Modules mark (M) will be obtained from continuous assessment based on quizzes, tutorials, lab
reports, and tests. The final mark will be obtained from the Module mark (M) and Summative Assessment (E)
in the ratio 3:2.
Entry Assumptions/Pre-requisites: PHY1101, PHY1202, MAT1101, MAT1201
Co-requisites: MAT2101, MAT2201


Thermodynamics and Modern Physics
Code                 Course                 NQF Level            Credits               Semester

PHY2202                                     6                    16                    2
Lectures per week    Practicals per         Tutorials per week   Number of weeks       Notional hrs
                     week
4 x 50 min           1 x 180 min            2 x 40 min           15                    160


Content / Syllabus:
Thermodynamics
Temperature, reversible processes and work, The First Law of thermodynamics, The Second Law
of Thermodynamics, Entropy, The thermodynamic Potentials and the Maxwell relations, General
thermodynamics relations, Change of phase, Open systems and the Chemical Potential, The third law of
Thermodynamics.
Modern Physics
Atoms and Kinetic Theory (Atomic Theory of Matter, Kinetic Theory, Specific Heat of gases, The Maxwell
Distribution of Velocities and Brownian Motion). Elementary Particles (Discovery of the electron,
quantization of electric charge, the photon, neutron, antiparticles and spin, discovery of X-rays). The
Quantum Theory of Light (Blackbody Radiation, The Rayleigh-Jeans Theory, Planck’s Theory of Radiation,
Einstein’s transition Probabilities, Amplification through Stimulated emission, the Ruby and Neon Lasers).
The Particle Nature of Photons (The Photoelectric Effect, The Compton Effect, The Dual Nature of Photons,
the Wave Packet, The Uncertainty Principle).
 The Quantum Theory of Atom (Models of Thomson and Rutherford, Classical Scattering Cross-section,
Bohr’s Theory of Atomic Spectra, The Franck-Hertz Experiment, X-ray Spectra and the Bohr Theory). Nuclear
Physics (Binding Energy, Radioactivity, Nuclear Reactions, Nuclear fusion and fission). Nuclear Physics
(Space-time and dynamics, relativity of mass, length contraction and time dilation).


Assessment: Modules mark (M) will be obtained from continuous assessment based on quizzes, tutorials,
lab reports, and tests. The final mark will be obtained from the Module mark (M) and Summative Assessment
(E) in the ratio 3:2.
Entry Assumptions/Pre-requisites: PHY1101, PHY1202, MAT1101, MAT1201
Co-requisites: MAT2101, MAT2201




[ Mathematical & Computational Sciences ]          86
Electromagnetism & Quantum Mechanics
Code                    Course                     NQF Level              Credits               Semester
PHY3101                                            7                      24                    1
Lectures per week       Laboratory sessions        Tutorials per week     Number of             Notional hours
                        per week                                          weeks
4 ´ 50 min              2 ´ 180 min                2 ´ 50 min             15                    240
Content / Syllabus:
ELECTROMAGNETISM: Vector analysis: Gradient, divergence and curl, fundamental theorems of calculus,
Laplacian, curvilinear coordinate systems: Cartesian, cylindrical and spherical
Coulomb’s law and electric scalar charges, electric fields and scalar potentials of distributed electric scalar
charges: direct integration and Gauss’ law, Poisson’s and Laplace’s equations, equipotential surfaces, electric
conductors
Biot-Savart law and magnetic sources, magnetic fields and vector potentials, magnetic forces, magnetic
fields by direct integration and Ampere’s circuital law, Faraday’s law and induced emf
Electric and magnetic dipole moments and polarizations, linear isotropic and homogeneous media, electric
and magnetic fields due to polarized media, hysteresis, Maxwell’s equations, boundary conditions
QUANTUM MECHANICS: Statistical interpretation of the double-slit interference experiment; Derivation
of the Schrödinger equation for a force-free region; Separation of the Schrödinger equation; Conditions
of good behaviour for wave functions; Simple barrier problems; One dimensional potential well of infinite
height; Two and three-dimensional problems, degeneracy; Parity; Graphical nature of wave functions;
Operators in Quantum Mechanics; The harmonic oscillator; The hydrogen atom; Heisenberg Uncertainty
Principle.
Assessment: Modules mark (M) will be obtained from continuous assessment based on quizzes, tutorials, lab
reports, and tests. The final mark will be obtained from the Module mark (M) and Summative Assessment (E)
in the ratio 3:2.
Entry Assumptions/Pre-requisites: PHY2101, PHY2202, MAT2101, MAT2102, MAT2201, MAT2202
Co-requisites: None



Statistical Mechanics & Solid State Physics
Code                   Course                 NQF Level              Credits                Semester
PHY3202                                       7                      24                     2
Lectures per week      Laboratory             Tutorials per week     Number of weeks        Notional hrs
                       sessions per week
4 x 50 min             2 x 180 min            2 x 50 min             15                     240
Content / Syllabus:
STATISTICAL MECHANICS: Statistical equilibrium; The Maxwell-Boltzmann distribution law; Thermal
equilibrium; Application to Ideal gas; Entropy and heat in terms of statistical probability; Heat capacity of
ideal monatomic and an ideal polyatomic gas; The principle of equipartition of energy; The Einstein Solid;
Fermi-Dirac distribution law; The electron gas; Application of Fermi-Dirac statistics to electrons in metals;
Bose-Einstein distribution law; The photon gas; Heat capacities of vibrating molecules and of solid bodies.
SOLID STATE PHYSICS: Crystals: binding, structure, defects and growing techniques. Lattices dynamics:
quantized vibrations, phonons and density of states, specific heat capacity and Debye law. Free electron
theory of metals: density of states, specific heat capacity, electrical conductivity and Hall effect, Pauli
paramagnetism, thermionic emission. Comparison of metals, insulators, semimetals and semiconductors,
band structure. Magnetic properties of materials: types of magnetism, susceptibility and permeability.
Dielectrics: polarization, temperature and frequency dependence of permittivity, ferroelectric and
piezoelectric materials. Semiconductors: holes and conduction electrons, intrinsic and extrinsic
semiconductors, donors and acceptors, temperature dependency of electrical conductivity




                                                       87                                              2010
Assessment: Modules mark (M) will be obtained from continuous assessment based on quizzes, tutorials,
seminar presentations, lab reports, and tests. The final mark will be obtained from the Module mark (M) and
Summative Assessment (E) in the ratio 3:2.
Entry Assumptions/Pre-requisites: PHY2101, PHY2202, MAT2101, MAT2102, MAT2201, MAT2202
Co-requisites: None


Introduction to Object Oriented Programming
Module Code           Module Name            NQF Level            Credits                 Semester
CSI 1201                                     5                    8                       2
Lectures per week     Pracs per week         Tutorials per week   Number of weeks         Notional hours
1 x 2 hrs             1 x 3 hrs(x 2          1 x 1hrs (x 2        14                      84
                      groups)                groups)
Content / Syllabus    Theory: Classes, Objects and data abstraction, Inheritance, polymorphism, Pointers,
                      virtual functions, templates, exception handling.


Learning              Learning and Teaching Session               Number          Hours        Total
and
                      Lectures                                    14              2            28
Teaching
breakdown             Practicals                                  14              3            56
                      Tutorials                                   14              1            14
                      Grand Total                                                              84
Assessment            Assessment Sessions                         Number          Hours        Total
breakdown
                      Major tests                                 2               2            4
                      Practical Assessment                        12              1            12
                      Assignments                                 2               2            4
                      Tutorial assignments                        12              1            12
                      Summative assessment
                      Examination                                 1               3            3
                      Re-examination (optional)
                      Special examination (optional)
                      Oral examination (optional)
                      Grand Total                                                              35
Projected self        Self study Sessions                         Number          Hours        Total
study time
                      Private study                               28              1            28
breakdown
                      Group work                                  28              .5           14
                      Pre-assessment revision                     12              .2           2.4
                      Grand Total                                                              44.4




[ Mathematical & Computational Sciences ]           88
Entry                MATRICULATION: Qualified for bachelors. At least 3 in mathematics, 2 in English and
rules                2 in life orientation.
                     REQUIRED NSC SUBJECTS (Compulsory): Mathematics, English
                     Recommended: IT, CAT
                     OTHER (SATAP): 3 in mathematics, (Should have cleared CSI1111 & CSI1212)
Assessment           Continuous Assessment (CA) (Compulsory): Two Assignments(30%), Two Tests
and progression      (40%), 12 tutorial assessments(10%) and 12 Practical assessments(20%)
rules
                     Examination (Compulsory): One examination (EA). The contribution of the
                     examination (EA) to the overall assessment (OA) is 40%. OA = 60%(CA) + 40%(EA).
                     Re-examination (Not compulsory): To qualify for re-examination students must
                     obtain an overall assessment of between 40 and 49%.
Exclusion from       NA
module



Introduction to Information Systems
Module Code          Module Name          NQF Level               Credits               Semester
CSI 1101                                  5                       8                     1
Lectures per week    Pracs per week       Tutorials per week      Number of weeks       Notional hours
1 x 2 hrs            0                    2 x 2hrs (x 2 groups)   14                    84

Content / Syllabus   Theory: Fundamentals of IS, Data and Information; Importance of Information
                     Systems; Computer Based Information Systems, Information System Requirements:
                     Input, Process, Output, Information Systems as seen by the user, End-User
                     Computing Applications; Office Automation; Distributed computing 
                     Hardware Fundamentals, Software Fundamentals, User Interfaces, Command driven
                     interfaces; Menu driven interfaces; Icon and pointer based interfaces, Operating
                     Systems; Applications Software; Programming languages, Developing Information
                     Systems, The classic systems development life cycle
                     Business Information Systems, Transactions Processing, Management Information
                     Systems, Decision Support Systems, Expert Systems


Learning             Learning and Teaching Session                Number        Hours        Total
and
                     Lectures                                     14            2            28
Teaching
breakdown            Practicals                                   0             0            0
                     Tutorials                                    28            2            56
                     Grand Total                                                             84




                                                 89                                               2010
Assessment            Assessment Sessions                               Number        Hours        Total
breakdown
                      Major tests                                       2             2            4
                      Practical Assessment
                      Assignments                                       2             2            4
                      Tutorial assignments                              12            1            12
                      Summative assessment
                      Examination                                       1             3            3
                      Re-examination (optional)
                      Special examination (optional)
                      Oral examination (optional)
                      Grand Total                                                                  23
Projected self        Self study Sessions                               Number        Hours        Total
study time
                      Private study                                     28            1            28
breakdown
                      Group work                                        28            .5           14
                      Pre-assessment revision                           12            .2           2.4
                      Grand Total                                                                  44.4
Entry                 MATRICULATION: Qualified for bachelors. At least 3 in mathematics, 2 in English
rules                 and 2 in life orientation.
                      REQUIRED NSC SUBJECTS (Compulsory): Mathematics, English
                      Recommended: IT, CAT
                      OTHER (SATAP): 3 in mathematics,
Assessment            Continuous Assessment (CA) (Compulsory): Two Assignments(40%), Two Tests
and progression       (40%), 12 tutorial assessments(20%)
rules
                      Examination (Compulsory): One examination (EA). The contribution of the
                      examination (EA) to the overall assessment (OA) is 40%. OA = 60%(CA) + 40%(EA).
                      Re-examination (Not compulsory): To qualify for re-examination students must
                      obtain an overall assessment of between 40 and 49%.
Exclusion from        NA
module



Introduction to Information Systems
Module Code            Module Name              NQF Level                   Credits           Semester

CSI 1101                                        5                           8                 1

Lectures per week      Pracs per week           Tutorials per week          Number of         Notional hours
                                                                            weeks
1 x 2 hrs              0                        2 x 2hrs (x 2 groups)       14                84




[ Mathematical & Computational Sciences ]           90
Content / Syllabus    Theory: Fundamentals of IS, Data and Information; Importance of Information
                      Systems; Computer Based Information Systems, Information System Requirements:
                      Input, Process, Output, Information Systems as seen by the user, End-User
                      Computing Applications; Office Automation; Distributed computing 
                      Hardware Fundamentals, Software Fundamentals, User Interfaces, Command driven
                      interfaces; Menu driven interfaces; Icon and pointer based interfaces, Operating
                      Systems; Applications Software; Programming languages, Developing Information
                      Systems, The classic systems development life cycle
                      Business Information Systems, Transactions Processing, Management Information
                      Systems, Decision Support Systems, Expert Systems


Learning              Learning and Teaching Session                Number         Hours    Total
and                   Lectures                                     14             2        28
Teaching
breakdown             Practicals                                   0              0        0
                      Tutorials                                    28             2        56
                      Grand Total                                                          84
Assessment            Assessment Sessions                          Number         Hours    Total
breakdown             Major tests                                  2              2        4
                      Practical Assessment
                      Assignments                                  2              2        4
                      Tutorial assignments                         12             1        12
                      Summative assessment
                      Examination                                  1              3        3
                      Re-examination (optional)
                      Special examination (optional)
                      Oral examination (optional)
                      Grand Total                                                          23
Projected self study Self study Sessions                           Number         Hours    Total
time breakdown       Private study                                 28             1        28
                      Group work                                   28             .5       14
                      Pre-assessment revision                      12             .2       2.4
                      Grand Total                                                          44.4
Entry                 MATRICULATION: Qualified for bachelors. At least 3 in mathematics, 2 in English
rules                 and 2 in life orientation.
                      REQUIRED NSC SUBJECTS (Compulsory): Mathematics, English
                      Recommended: IT, CAT
                      OTHER (SATAP): 3 in mathematics,
Assessment            Continuous Assessment (CA) (Compulsory): Two Assignments(40%), Two Tests (40%),
and progression       12 tutorial assessments(20%)
rules
                      Examination (Compulsory): One examination (EA). The contribution of the
                      examination (EA) to the overall assessment (OA) is 40%. OA = 60%(CA) + 40%(EA).
                      Re-examination (Not compulsory): To qualify for re-examination students must
                      obtain an overall assessment of between 40 and 49%.
Exclusion from        NA
module




                                                    91                                           2010
Operating Systems
OTHER (specify):        Module Name            NQF Level         Credits                  Semester
CSI 2201                                       6                 14                       1
Lectures per week       Practicals per week    Tutorials per     Number of weeks          Notional hours
                                               week
1 x 2 hr                                       1 x 2 hr          14                       140

Content / Syllabus      Theory: Overview of operating systems, functionalities and characteristics of OS.
                        Hardware concepts related to OS, CPU states, I/O channels, memory hierarchy,
                        microprogramming, The concept of a process, operations on processes, process
                        states, concurrent processes, process control block, process context. Job and
                        processor scheduling, scheduling algorithms, process hierarchies. Problems of
                        concurrent processes, critical sections, mutual exclusion. Mutual exclusion, process
                        co-operation, producer and consumer processes. Semaphores: definition, init, wait,
                        signal operations. Critical sections Interprocess Communication (IPC), Message
                        Passing, Direct and Indirect Deadlocks. Memory organization and management,
                        storage allocation. Virtual memory concepts, paging and segmentation, address
                        mapping. Virtual storage management, page replacement strategies. File
                        organization: blocking and buffering, file descriptor, directory structure File and
                        Directory structures, blocks and fragments, directory tree, UNIX file structure.
                        Practicals: Consist of 14 tutorials chosen from each section of content covered.
Learning                Learning and Teaching Session            Number       Hours       Total
and
                        Lectures                                 14           2           28
Teaching
breakdown               Practicals
                        Tutorials                                14           2           28
                        Grand Total                                                       56
Assessment              Assessment Sessions                      Number       Hours       Total
breakdown
                        Major tests                              3            1           3
                        Class tests
                        Assignments
                        Tutorial assignments                     3            6           18
                        Summative assessment
                        Examination                              1            3           3
                        Re-examination (optional)                1            3           3
                        Special examination (optional)
                        Oral examination (optional)
                        Grand Total                                                       27
Projected self study    Self study Sessions                      Number       Hours       Total
time breakdown
                        Private study                            14           4
                        Group work
                        Pre-assessment revision
                        Grand Total                                                       56




[ Mathematical & Computational Sciences ]           92
Entry               MATRICULATION: Entry Requirements for the Science Faculty.
rules
                    REQUIRED NSC SUBJECTS (Compulsory): Entry Requirements for the Science
                    Faculty.
                    RECOMMENDED NSC SUBJECTS (Not compulsory):
                    OTHER (specify): Pre-requisites: CSI1101, CSI1102, CSI1201and CSI1202, MAT1101,
                    CSI1102, CSI1203 and MAT1201 or APM1101, APM1201
Assessment          Continuous Assessment (CA) (Compulsory): The contribution of CA to the
and progression     overall assessment (OA) is 60%.
rules
                    Examination (Compulsory): One examination (EA). The contribution of the
                    examination (EA) to the overall assessment (OA) is 40%.
                    Re-examination (Not compulsory):
Exclusion from      Faculty rules apply, whereby the student progresses from a lower level to the next.
module


Introduction to Artificial Intelligence
Module Code         Module Name        NQF Level               Credits                Semester
CSI3101                                6                       14                     1
Lectures per week   Pracs per week     Tutorials per week      Number of weeks        Notional hours
3 x 50 min          1 x 3 hrs          1 x 50 min              14                     140

Contents/Syllabus   Theory: Introduction to AI , Definitions , Early work-A Historical Overview , The
                    Turing Test ,Intelligent Agents , The Idea of an Agent , Types of Agents , Types of
                    Environments, Solving Problems by Search , Problem Solving agents , Formulating
                    Problems , Searching for Solutions Search Strategies , Uninformed Search Strategies
                    , Breadth First Search , Depth First Search , Uniform Cost Path Search , Informed
                    Search Methods , Best-First –Search , Greedy Search , A* Search, Game Playing ,
                    The 8 Puzzle , The 8 Queens problem , Tic-Tac-Toe, First Order Predicate Logic ,
                    Representation , Reasoning and Logic , Propositional Logic , Syntax and Semantics ,
                    Using First Order Logic, Learning Methods, Neural Networks and Learning.
                    Practicals: Consist of 5 labs based on what is covered during lectures.
Entry Rules         Applicant must have Passed all Second Year Modules, CSI2202, CSI2102


Assessment          Continuous Assessment (CA) (Compulsory): Two class tests (CT), five assignments
and progression     (AA), three tutorial assignments (TA), a practical assessment (PA), an examination
rules               (EA) and a re-examination (RA).
                    Examination (Compulsory): One examination (EA). The contribution of the
                    examination (EA) to the overall assessment (OA) is 40%. OA = 60%(CA) + 40%(EA).
                    To qualify for course credit students must obtain an overall assessment of 50%.
                    Re-examination (Not compulsory): To qualify for re-examination students must
                    obtain an overall assessment of between 40 and 49%.




                                               93                                             2010
Software Engineering I
Module Code             Module Name          NQF Level              Credits                 Semester
CSI3102                                      6                      14                      1
Lectures per week       Pracs per week       Tutorials per week     Number of weeks         Notional hours
3 x 50 min              1 x 3 hrs            1 x 50 min             14                      140

Content / Syllabus      Theory: Need for Software Engineering, Problems in software development,
                        What is software engineering? software process: the waterfall model, prototyping
                        approaches, evolutionary development models, project management: scheduling,
                        cost estimation, requirements & design analysis: requirements engineering,
                        analysis, definition, specification, requirements document, functional and non-
                        functional requirements, requirements evolution, ssadm: data flow diagrams,
                        entity relationship modelling (logical data models), modelling with uml: use-cases,
                        class diagrams, state diagrams, software design: principles of design, designing for
                        reusability, adaptability and maintainability, design quality software architecture,
                        testing: test plans, testing methods, test strategies software maintenance and
                        evolution.: software change and maintenance, software re-engineering, software
                        configuration management.
                        Practicals: Consist of 5 labs based on what is covered during lectures.
Entry                   MATRICULATION: Faculty rules apply
rules
                        REQUIRED NSC SUBJECTS (Compulsory):
                        RECOMMENDED NSC SUBJECTS (Not compulsory):
                        OTHER (specify): Applicant must have Passed all Second Year Modules, CSI2202,
                        CSI2102
Assessment              Continuous Assessment (CA) (Compulsory): Two class tests (CT), five assignments
and progression         (AA), three tutorial assignments (TA), a practical assessment (PA), an examination
rules                   (EA) and a re-examination (RA).
                        Examination (Compulsory): One examination (EA). The contribution of the
                        examination (EA) to the overall assessment (OA) is 40%. OA = 60%(CA) + 40%(EA).
                        To qualify for course credit students must obtain an overall assessment of 50%.
                        Re-examination (Not compulsory): To qualify for re-examination students must
                        obtain an overall assessment of between 40 and 49%.
Exclusion from          A student will be excluded from the course after failing the module twice. A student
module                  excluded from a course may be re-admitted after presenting a similar course from
                        another university for credit.



Database Management Systems
Module Code            Module Name          NQF Level                Credits                Semester
CSI3201                                     7                        14                     1
Lectures per week      Pracs per week       Tutorials per week       Number of weeks        Notional hours
3 x 50 min             1 x 3 hrs            1 x 50 min               14                     140

Content / Syllabus     Theory: File Systems and Databases, The Relational Database Model, Structured
                       Query Language (SQL), Entity Relationship (E-R) Modeling, Normalisation of
                       Database Tables, Database Design, Transaction Management and Concurrency
                       Control, Distributed Database Management System, Object-Oriented Databases,
                       Database Administration, Database and The Internet.
                       Practicals: Consist of 5 labs based on what is covered during lectures.



[ Mathematical & Computational Sciences ]          94
Entry Rules          Applicant must have Passed all Second Year Modules, CSI2202, CSI2102
Assessment           Continuous Assessment (CA) (Compulsory): Two class tests (CT), five assignments
and progression      (AA), three tutorial assignments (TA), a practical assessment (PA), an examination
rules                (EA) and a re-examination (RA).
                     Examination (Compulsory): One examination (EA). The contribution of the
                     examination (EA) to the overall assessment (OA) is 40%. OA = 60%(CA) + 40%(EA).
                     To qualify for course credit students must obtain an overall assessment of 50%.
                     Re-examination (Not compulsory): To qualify for re-examination students must
                     obtain an overall assessment of between 40 and 49%.



Software Computing II
Module Code          Module Name             NQF Level                Credits                Semester
CSI3202                                      7                        14                     1
Lectures per week    Pracs per week          Tutorials per week       Number of weeks        Notional
                                                                                             hours
3 x 50 min           1 x 3 hrs               1 x 50 min               14                     140

Content / Syllabus   Theory: Software Computing principles revisited, Downstream software Computing
                     activities, Internet software Architectures and Technologies, N-Tier Architectures,
                     CORBA, J2EE and .NET architectures, Web Services, Design Patterns, GOF design
                     Patterns, Web Architecture Patterns, UML Object Diagrams, Challenges and
                     Pitfalls of Software Design, Techniques for design, Design as decision making
                     and evaluation of trade-offs, Examples taken from Object Oriented Design,
                     Architecture – Driving forces, Various examples, Code Construction - UML to code,
                     code to UML, Configuration Management –Source code control and management
                     , Source code processing , Group work support, Versions and Variants, CVS, Quality
                     Assurance -Defect costs, Reliability, Standards, Testing – Types of test, verification
                     and validation, Black and White Box testing, Test analysis and generation, Metrics –
                     Examples and uses,
                     Process and Project metrics, Object orientation metrics.
                     Practicals: Consist of 5 labs based on what is covered during lectures.
Entry Rules          Applicant must have Passed all Second Year Modules, CSI2202, CSI2102
Assessment           Continuous Assessment (CA) (Compulsory): Two class tests (CT), five assignments
and progression      (AA), three tutorial assignments (TA), a practical assessment (PA), an examination
rules                (EA) and a re-examination (RA).
                     Examination (Compulsory): One examination (EA). The contribution of the
                     examination (EA) to the overall assessment (OA) is 40%. OA = 60%(CA) + 40%(EA). To
                     qualify for course credit students must obtain an overall assessment of 50%.
                     Re-examination (Not compulsory): To qualify for re-examination students must
                     obtain an overall assessment of between 40 and 49%.




                                                 95                                                2010
[ Mathematical & Computational Sciences ]   96

								
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