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  • 8/2/2019 Final Mob Syllabus

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    SYLLABUS

    Faculty : Economics

    Program : Management

    Unit : Mathematics for Business

    Code :

    Credits : 3 (classroom hours)

    Semester : 1

    Prerequisite : -

    Lecturer : Suresh Kumar

    Content : The students can apply the mathematics tools to solve business problems

    Objectives

    Upon completion of this course, students are expected to be able to:

    1To construct mathematical equation from given problems

    2 To differentiate between linear equations, quadratic equations and somepolynomial equations

    3 To construct data presentation from linear, quadratic and polynomialequations into matrix algebraic

    4To sketch linear and quadratic graphics

    5 To construct Maximum and Minimum values of quadratic functionsapplication

    6To analyze maximum and minimum profit with marginal analysis

    7To solve integration application problems

    8To determine the area indicated in figure through integration method

    Learning Activities / Classroom Policy

    Students are required to be in class and to actively participate in class instructions. Students

    will complete a mid-term exam (classroom examination), four term exams, and a final

    project. Students must attend 80% of the class attendance. For those who fail to attend the

    class more than 3 times are considered fail and will get straight E.

    Make-up Tests

    1

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    Make-up tests will be arranged only in cases of illness, emergencies, or

    absolutely unavoidable situations. Students must explain such situationswith appropriate supporting documents to justify a make-up test.

    Evaluation

    Assignments Week due Percentage

    Term Exam 1 Week # 3 5%

    Term Exam 2 Week # 6 5%

    Term Exam 3 Week # 11 5%

    Term Exam 4 Week # 13 5%

    Mid-Term Exam Week # 7 40%

    Final Exam Week # 14 40%

    Total 100%

    Grading Policy

    A 85-100

    B 70-84

    C 60-69

    D 55-59

    E

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    Course Schedule

    Matrix

    Week Topics / Sub Topics Objectives Assignments

    and

    Assessments

    Source

    1 Introduction to the

    course

    Linear Equation Characteristics of

    Linear Equations

    Graphical

    Characteristics

    Slope-Intercept Form

    Determining the

    Equations of a Straight

    Line

    Linear Equations

    Involving more than

    Two Variables

    Additional Applications

    Students are able :

    To determine theequation which

    represents a linear

    relationship

    To graph the linear

    equations

    To solve a variety

    of application of

    linear application

    Budnick

    Section 2.1No. 24, 25, 26,

    29, 30

    Section 2.3

    No. 25, 26

    Section 2.4

    No. 1, 3, 7, 9,

    23, 27, 31, 32,

    34, 35, 37, 39

    Section 2.6

    No. 7, 9

    Budnick

    Ch 02

    2 Two Variable Systems

    of Equations

    Elimination Method

    Graphical analysis More than 2 Variables

    Students are able :

    To solve two or

    more variable

    systems of

    equation using

    Budnick

    Section 3.1

    No. 11, 13, 15,

    17, 19, 29, 31,

    Budnick

    Ch 03

    3

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    Selected Application elimination and

    graphicallyanalysis

    To interpret the

    result

    33

    Example 16,

    17, 18, 19

    Section 3.4

    No. 7

    3 Term Exam 1

    Linear Function Applications

    Linear Cost Functions

    Linear RevenueFunctions

    Linear Profit Functions

    Week 1 and 2

    Students are able :

    To identify total

    costs in terms of

    total variable cost

    and total fixed cost

    To compute total

    revenue

    To construct the

    profit function

    To interpret the

    result

    Essay Test

    Budnick

    Ch 05

    4 Linear Function Applications

    Straight-Line

    Depreciation

    Linear Demand

    Functions

    Linear Supply

    Functions

    Market Equilibrium

    Break-Even Analysis

    Students are able :

    To construct thelinear function

    To sketch the

    linear function

    To analyze the

    market equilibrium

    prices trough the

    supply and demand

    functions

    To analyze the

    profitability of a

    firm through

    Budnick

    Section 5.2

    No. 1, 3, 7, 11,

    13, 19

    Section 5.3

    No. 6, 9, 10,

    11, 13

    Budnick

    Ch 05

    4

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    Break-Even

    Analysis To interpret the

    result

    5 Quadratic Functions

    Definition

    Graphical

    Representation

    Applications

    Quadratic Revenue

    Functions Quadratic Supply

    Functions

    Quadratic Demand

    Functions

    Supply Demand

    Equilibrium

    Polynomial Functions

    Students are able :

    To identify

    quadratic functions

    To construct the

    quadratic equation To sketch the

    quadratic functions

    To solve

    polynomial

    functions

    Budnick

    Section 6.1

    No. 1, 5, 17,

    19, 33, 35

    Section 6.2

    No. 1, 3, 7, 9,13, 14

    Budnick

    Ch 06

    6 Term Exam 2

    Review :

    Linear Application

    Quadratic Application

    Week 3 and 4

    7 MIDTEST

    8 Matrix Algebra

    Matrix Operations

    The Determinant The Inverse of Matrix

    Selected Application

    Students are able :

    To summarize and

    display numbers or

    data

    To rearrange the

    data elements in a

    matrix through

    transpose of a

    matrix

    To construct matrix

    operations such asaddition,

    Budnick

    Section 9.2

    No. 3, 7, 9

    Section 9.3

    No. 9, 21, 23,

    25, 37, 39, 41,

    45

    Section 9.4

    No. 3, 9

    Section 9.5

    No. 5, 7

    Budnick

    Ch 09

    5

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    subtraction,

    multiplication To construct matrix

    representation of

    system of

    equations

    To compute a real-

    valued number of a

    square matrix

    To determine the

    inverse of a matrix

    Section 9.6

    No. 1, 3, 7, 11

    9 Differentiation

    Rules of Differentiation

    Higher-Order

    Derivatives

    Identification of

    Maxima and Minima

    Students are able :

    To identify the maximum

    and minimum values

    Budnick

    Section 15.5

    No. 5, 9, 27,

    35

    Section 15.6

    No. 39, 47

    Section 15.8

    No. 11, 15, 27

    Section 16.2

    No. 1, 15, 29

    Budnick

    Ch 15

    and Ch

    16

    10 Optimization Applications:

    Revenue Application

    Cost Application

    Profit Application

    Marginal Approach to

    Profit Maximization

    Real Estate Application

    Welfare Management

    Compensation Planning

    Elasticity of Demand

    Students are able :

    To construct

    maximum revenue To construct

    minimum cost

    To construct

    maximum profit

    To analyze

    maximum profit

    through marginal

    analysis

    Budnick

    Section 17.1

    No. 1, 3, 13,

    15, 19, 23

    Budnick

    Ch 17

    6

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    11 Term Exam 3

    Integral Calculus

    The rules of integration

    Other techniques of

    Integration

    Week 9 and 10

    Students are able :

    To solve

    integration

    problems using

    different

    techniques

    Budnick

    Section 18.2

    No. 9, 17, 21

    Section 18.3

    No. 13, 15, 23

    Section 18.4

    No. 9, 11, 15,

    17

    Budnick

    Ch 18

    12 Integral Calculus: Applications

    Definite Integrals

    Definite Integrals and

    Areas

    Applications of Integral

    Calculus

    Students are able :

    To solve definite

    integrals

    To determine the

    area indicated in a

    figure

    Budnick

    Section 19.1

    No. 23, 25, 27,

    51, 53, 57

    Section 19.2

    No. 1, 3, 5

    Section 19.4

    No. 1, 7, 9, 11

    Budnick

    Ch 19

    13 Term Exam 4

    Review:

    Matrix

    Differentiation

    Integral Calculus

    Week 11 and 12

    14 FINALTEST Evaluation

    7