COURSE OUTLINE - DOC 5 by gytGdJ

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									                                         COURSE OUTLINE
                                 School of Work and College Preparation


COURSE NAME:                        Applied Mathematics I
COURSE CODE:                        MATH1096
CREDIT HOURS:                       56 (4 hours/week for 14 weeks)
PREREQUISITES:                      None
COREQUISITES:                       None
PLAR ELIGIBLE:                      YES ()       NO ( )
EFFECTIVE DATE:                     January 2012

PROFESSOR: Negica Popovic                                       OFFICE #: Room 524A
PHONE: 416-415-5000 ext. 6421                                   EMAIL: npopovic@georgebrown.ca

NOTE TO STUDENTS: Academic Departments at George Brown College will NOT retain historical copies
of Course Outlines. We urge you to retain this Course Outline for your future reference.


                                               FOR OFFICE USE ONLY

       ORIGINATOR:________ Afshin Azari-Vala ______________________________ January 2012 _______
                                                                               DATE

       CHAIR:___ Susan Toews ______________________________________________ January 2012 _______
                                            SIGNATURE                         DATE

       DATE OF REVISION: ___ January 2012 ___




EQUITY STATEMENT: George Brown College values the talents and contributions of its students, staff and community
partners and seeks to create a welcoming environment where equity, diversity and safety of all groups are fundamental.
Language or activities which are inconsistent with this philosophy violate the College policy on the Prevention of
Discrimination and Harassment and will not be tolerated. The commitment and cooperation of all students and staff are
required to maintain this environment. Information and assistance are available through your Chair, Student Affairs,
the Student Association or the Human Rights Advisor.

George Brown College is dedicated to providing equal access to students with disabilities. If you require academic
accommodations visit the Disability Services Office or the Deaf and Hard of Hearing Services Office on your campus.

STUDENT RESPONSIBILITIES: Students should obtain a copy of the Student Handbook and refer to it for additional
information regarding the grading system, withdrawals, exemptions, class assignments, missed tests and exams,
supplemental privileges, and academic dishonesty. Students are required to apply themselves diligently to the course of
study, and to prepare class and homework assignments as given. Past student performance shows a strong relationship
between regular attendance and success.




COURSE NAME: Applied Mathematics I                                                                  PAGE: 1
COURSE CODE: MATH1096
COURSE DESCRIPTION:
This course is the first of two math courses in the Pre-Health Science program, designed to assist
individuals prepare themselves for further studies in health-related programs at the post-
secondary level. The course focuses on the development of
    a. technical skills in arithmetic in working with whole numbers, fractions, decimals,
       percentage, signed numbers, exponents, roots, logarithms and in working with measured
       values, and
    b. problem-solving skills involving superposition and proportion with applications to
       everyday life problems, problems involving a fraction/decimal/percent of a quantity, unit
       conversion problems, science-related problems and health-related problems that require
       the use of mathematics.

ESSENTIAL EMPLOYABILITY SKILLS:
As mandated by the Ministry of Training, Colleges and Universities essential employability skills
(EES) will be addressed throughout all programs of study. Students will have the opportunity to learn
(L) specific skills, to practice (P) these skills, and/or be evaluated (E) on the EES outcomes in a
variety of courses. The EES include communication, numeracy, critical thinking & problem solving,
information management, interpersonal and personal skills. The faculty for this course has indicated
which of the EES are either Learned (L), Practiced (P) or Evaluated (E) in this course:


                 Skill                      L   P   E                Skill                  L   P   E
 1. communicate clearly, concisely and                  7.  locate, select, organize and
    correctly in the written, spoken and    X   X   X       document information using
    visual form that fulfills the purpose                   appropriate technology and
    and meets the needs of the audience                     information sources
 2. respond to written, spoken or visual                8. show respect for the diverse
    messages in a manner that ensures                       opinions, values, belief
    effective communication                                 systems, and contributions
                                                            of others
 3. execute mathematical operations                     9. interact with others in groups
    accurately                              X   X   X       or teams in ways that
                                                            contribute to effective
                                                            working relationships and
                                                            the achievement of goals
 4. apply a systematic approach to                      10. manage the use of time and
    solve problems                          X   X   X       other resources to complete
                                                            projects
 5. use a variety of thinking skills to                 11. take responsibility for one’s
    anticipate and solve problems           X   X   X       own actions, decisions and
                                                            consequences
 6. analyze, evaluate, and apply
    relevant information from a variety
    of sources




COURSE NAME: Applied Mathematics I                                                   PAGE: 2
COURSE CODE: MATH1096
COURSE OUTCOMES:
Upon successful completion of this course the students will have reliably demonstrated the
ability to:
    1. work with whole numbers, fractions, decimals, percentage, signed numbers, exponents,
         roots and logarithms
    2. solve problems involving superposition
    3. solve problems involving proportion (direct and inverse, involving both ratios and rates)
    4. work with measured quantities (including unit conversion, the Scientific Notation and
         rounding rules)
    5. apply the knowledge above to solve a variety of health-related problems and problems
         that arise in the sciences

DELIVERY METHODS / LEARNING ACTIVITIES:
Delivery methods include lectures, board demonstrations and in-class exercises.

LIST OF TEXTBOOKS AND OTHER TEACHING AIDS:
Required:
Azari-Vala, Afshin. Semantics and the Syntax of Algebra. First Edition. 2010.
Azari-Vala, Afshin. An Introduction to Technical Skills in Mathematics. Fourth Edition. 2007.

Recommended / Optional:
None

TESTING POLICY:
Tests must be written at scheduled dates and times in the section the student is registered in. A
student who misses a test must:

        contact the course professor within 24 hours of the missed test via email notification
         informing the professor of the absence; and

        within 7 days from the missed test a petition1 has to be provided to the professor.
Once the latter two Missed Test Policy criteria are satisfied a deferral of the test is to the end of
the term (date and time is set by course Professor) and the test is comprehensive2. A maximum of
one test can be deferred. If more than one test is missed, then the test with the higher weight in
the course will be made up. All other tests will be given a mark of zero.

ASSIGNMENT POLICY:
N/A




1
  A petition form is provided to all students at the beginning of each term. If a form has not been provided, then it is
the student’s responsibility to obtain one from the Program Coordinator.
2
  Dependent on the course.
COURSE NAME: Applied Mathematics I                                                                  PAGE: 3
COURSE CODE: MATH1096
EVALUATION SYSTEM:

Assessment Tool:             Description:                            Outcome(s) EES                  Date / % of
                                                                     assessed:  assessed:            Week:  Final
                                                                                                            Grade:
TS Test 1                    Technical Skills Test                   1                 3                3     10
PSS Test 1                   Problem-Solving Skills Test             1, 2, 5           1, 4, 5          4     10
TS Test 2                    Technical Skills Test                   1                                  7     10
PSS Test 2                   Problem-Solving Skills Test             1, 3, 5           1, 4, 5          9     15
TS Test 3                    Technical Skills Test                   1                 3               12     15
PSS Test 3                   Problem-Solving Skills Test             1, 3, 5           1, 4, 5         13     15
TS Test 4                    Technical Skills Test                   1, 2, 4           3               15     15
PSS Test 4                   Problem-Solving Skills Test             1, 3, 4, 5        1, 4, 5         15     10
                                                                                                     TOTAL: 100%

GRADING SYSTEM
The passing grade for this course is: ____ 50% ____

A+     90-100     4.0   B+        77-79     3.3    C+     67-69     2.3   D+      57-59    1.3    Below 50     F    0.0
A      86-89      4.0   B         73-76     3.0    C      63-66     2.0   D       50-56    1.0
A-     80-85      3.7   B-        70-72     2.7    C-     60-62     1.7

Excerpt from the College Policy on Academic Dishonesty:
The minimal consequence for submitting a plagiarized, purchased, contracted, or in any manner inappropriately
negotiated or falsified assignment, test, essay, project, or any evaluated material will be a grade of zero on that material.
To view George Brown College policies please go to www.georgebrown.ca/policies




COURSE NAME: Applied Mathematics I                                                                        PAGE: 4
COURSE CODE: MATH1096
                                          TOPICAL OUTLINE:
        Under unforeseen circumstances the weekly content coverage and evaluation schedule may change

In the table below, the acronym PSS stands for the phrase “Problem-Solving Skills” and the acronym TS stands for
the phrase “Technical Skills”.

Week      Topic / Task Outcome(s)             Content / Activities                                  Resources
1         PSS          1, 5                   Problem-Solving Skills                                PSS Text
          Number                              Number systems and the decimal notation;              Chapter 1
          Systems;                            The structure of a word problem; Problem-
          Problem-                            solving techniques                                    TS Text
          Solving                                                                                   Sections
          Fundamentals                        Technical Skills                                      1.1, 1.2,
                                              Terminology and notation; Place value;                1.3, 1.4,
          TS                                  Comparison of place values by size;                   1.5, 1.9
          Whole                               Reading/Writing whole numbers using formal            and 1.10
          numbers                             English; Order; Arithmetic operations on
                                              whole numbers; Expressions; Rounding;
                                              Graphing
2         PSS               1, 5              Problem-Solving Skills                                PSS Text
          Arithmetic                          An overview and sampling of problems                  Chapter 2
          Operations                          whose solutions involve the basic arithmetic
                                              operations of addition, subtraction,                  TS Text
          TS                                  multiplication and division                           Chapter 3
          Decimals
                                              Technical Skills
                                              Terminology and notation; Place values;
                                              Reading/Writing decimals using formal
                                              English; Comparison of place values by size;
                                              Order; Rounding; Arithmetic operations on
                                              decimals; Expressions; Repeating Digits;
                                              Graphing
3         PSS               1, 2, 5           Problem-Solving Skills                                PSS Text
          Superposition                       Terminology; The place of superposition in            Chapter 3;
                                              analysis and synthesis; The quantity                  Handout
          TS                                  represented by a term; Sources and sinks;
          Fractions                           Consistency                                           TS Text
                                                                                                    Sections
                                              Technical Skills                                      1.6 and 1.7
                                              Test 1 Covers material studied during Weeks
                                              1 and 2

                                              The basic tools for working with fractions:
                                              The multiplication table, prime numbers, and
                                              divisibility tests




COURSE NAME: Applied Mathematics I                                                             PAGE: 5
COURSE CODE: MATH1096
                              TOPICAL OUTLINE (continued):
Week    Topic / Task   Outcome(s) Content / Activities                                Resources
4       PSS            1, 3, 5      Problem-Solving Skills                            PSS Text
        Single                      Test 1 Covers material studied during Weeks       Section 4.1
        Proportion                  1, 2 and 3
                                                                                      TS Text
        TS                           Terminology; Direct and inverse proportions      Sections
        Fractions                                                                     2.1, 2.2,
                                     Technical Skills                                 2.3, 2.4,
                                     Terminology and notation; Reading/Writing        2.5, 2.7,
                                     fractions using formal English; Fraction types   2.9
                                     and mixed numbers; Reduction and chain
                                     multiplication/division; Complex fractions
5       PSS            1, 3, 5       Problem-Solving Skills                           PSS Text
        Single                       Unit conversion                                  Section 4.2
        Proportion
                                     Technical Skills                                 TS Text
        TS                           Order and chain addition/subtraction;            Sections
        Fractions                    The effect of increasing/decreasing numerator    2.6, 1.8,
                                     and denominator on size; Expressions;            2.8, 2.9,
                                     Graphing fractions                               2.10 and
                                                                                      2.11
6       PSS            1, 3, 5       Problem-Solving Skills                           PSS Text
        Single                       Mass/amount of substance conversions;            Section 4.2
        Proportion                   Quantitative analysis of chemical reactions
                                     (amount/amount and energy/amount relations) TS Text
        TS                                                                       Chapter 4
        Percent-                     Technical Skills
        Fraction-                    Terminology and notation; Conversions
        Decimal                      involving fractions, decimals and percent
        Conversions
7       PSS            1, 3, 5       Problem-Solving Skills                           PSS Text
        Single                       Fraction/Decimal/Percent problems                Section 4.2
        Proportion
                                     Technical Skills                                 TS Text
        TS                           Test 2 Covers material studied during Weeks      Chapter 5
        Signed                       3, 4, 5 and 6
        Numbers
                                     Terminology and notation; Order; Size;
                                     Arithmetic operations on signed numbers;
                                     Expressions; Graphing
8                                      INTERSESSION WEEK




COURSE NAME: Applied Mathematics I                                              PAGE: 6
COURSE CODE: MATH1096
                             TOPICAL OUTLINE (continued):
Week    Topic / Task   Outcome(s) Content / Activities                                   Resources
9       PSS            1, 2, 3, 4, 5 Problem-Solving Skills                              PSS Text
        Chain                        Test 2 Covers material studied during Weeks         Section
        Proportion                   4, 5, 6 and 7                                       4.3;
                                                                                         Handout
        TS                             Terminology; Unit conversion
        Exponents                                                                        TS Text
                                       Technical Skills                                  Sections
                                       Terminology and notation; The base; The           6.1, 6.2,
                                       exponent; Simplification; Expressions             6.3 and 6.4
10      PSS            1, 2, 3, 4, 5   Problem-Solving Skills                            PSS Text
        Chain                          Quantitative analysis of chemical reactions       Section 4.3
        Proportion
                                       Technical Skills                                  TS Text
        TS                             Terminology and notation; The root number;        Sections
        Roots                          The radicand; Simplification; Expressions         6.5, 6.6,
                                                                                         6.7 and 6.8
11      PSS            1, 2, 3, 4, 5   Problem-Solving Skills                            PSS Text
        Chain                          Fraction/Decimal/Percent problems                 Section 4.3
        Proportion
                                       Technical Skills                                  TS Text
        TS                             Terminology and notation; Base-10                 Handout
        Logarithms                     logarithms; Logarithms with other bases;
                                       Simplification; Expressions
12      TS             1, 2, 3, 4, 5   Technical Skills                                  TS Text
        Measurement                    Test 3 Covers material studied during Weeks       Section 7.5
                                       7, 9, 10 and 11
        PSS                                                                              PSS Text
        Chain                          Rounding Rules: Interval Math and the             Handout
        Proportion                     Standard Rule of Rounding; Significant digits
                                       and chain multiplication/division; The
                                       estimated digit and chain addition/subtraction;
                                       Exact values

                                       Problem-Solving Skills
                                       Imposing the rounding rules




COURSE NAME: Applied Mathematics I                                                   PAGE: 7
COURSE CODE: MATH1096
                              TOPICAL OUTLINE (continued):
Week    Topic / Task    Outcome(s)   Content / Activities                                    Resources
13      PSS             1, 3, 4, 5   Problem-Solving Skills                                  PSS Text
        Inverse                      Test 3 Covers material studied during                   Section 5.1
        Proportion                   Weeks 9, 10, 11 and 12
                                                                                             TS Text
        TS                                Terminology                                        Sections
        Measurement                                                                          7.1, 7.2
                                          Technical Skills                                   and 7.3
                                          Measurement Systems: Terminology,
                                          notation and conventions; SI and the
                                          Imperial System; SI prefixes and the use of
                                          the decimal notation; Unit conversion within
                                          SI
14      PSS             1, 3, 4, 5        Problem-Solving Skills                             PSS Text
        Inverse                           Applications                                       Section 5.2
        Proportion
                                          Technical Skills                                   TS Text
        TS                                Scientific Notation: Terminology and               Handout
        Measurement                       notation; Conversions to and from decimals;
                                          Multiplication and division; Addition and
                                          subtraction; Scientific Notation and the
                                          Standard Rule
15                                        Problem-Solving Skills
                                          Test 4 Covers material studied during
                                          Weeks 13 and 14

                                          Technical Skills
                                          Test 4 Covers material studied during
                                          Weeks 12, 13 and 14
             Please note: this schedule may change as resources and circumstances require.

For information on withdrawing from this course without academic penalty, please refer to the
College Academic Calendar: http://www.georgebrown.ca/Admin/Registr/PSCal.aspx




COURSE NAME: Applied Mathematics I                                                     PAGE: 8
COURSE CODE: MATH1096

								
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