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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