COL-Bus-Maths

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INSTITUTE OF BUSINESS ADMINISTRATION
BBA PROGRAM
(MORNING)
COURSE OUTLINE
Course Title: Business Mathematics
Semester:
Fall 2009
Number:
MTS103
Credit Hrs:
3
Teacher:
Dr Muhammad Shahid Qureshi
Note: Class meets twice a week each time for a 75 minute session
Course Objectives:
1. On successful completion of the course a student should be able to understand
basic mathematical relations like linear, quadratic, exponential and logarithmic
and apply their characteristics to solve some business and management problems.
2. He/she shall also understand basic issues in mathematics of finance and shall be
able to solve problems in simple interest, compound interest, annuities and their
present and future values.
3. A student shall be able to understand the algebra of matrices and use of matrices
to solve systems of linear equations. An understanding of linear programming
problem shall also be developed so that a student may solve simple optimization
problems in business and management.
Text Book:
“Applied Mathematics for Business, Economics and the Social Sciences”, by
Frank S. Budnick, Fourth Edition, McGraw-Hill, Inc., 1993
Reference Book:
“Introductory Mathematical Analysis for Business, Economics and the Life and
Social Sciences”, by Ernest F. Haeussler & Richard S. Paul, Eighth Edition,
Prentice Hall, 1996
Course Plan:
Lec. No.
Topics covered
Book Reference
Real Numbers and the Real Line
Linear & Quadratic Equations in one unknown
1.1 & 1.2
Linear & Quadratic Inequalities in one unknown
Absolute Value relations & inequalities
1.3 & 1.4
Representing Points in a plane
The mid-point and distance formulas
1.5
4.
Linear Equations & their graphical representation
2.1-2.4
5.
Systems of Linear Equations & their solutions
Applications
2.5, 3.1, 3.2
Applications to Product Mix Problem,
Blending Model and Portfolio Model
3.4
Functions & their types, Domain & Range of
Functions, Restricted Domain
4.1
Linear, Quadratic, Polynomial and
Rational Functions
4.2
9.
Graphical Representation of Functions
4.3
10.
Linear Cost, Revenue and Profit Functions
5.1, 5.2
11.
Break Even Models and Analysis
5.3
12.
Some Characteristics of Quadratic Functions
And their Applications
6.1-6.2
Characteristics of Exponential Functions
And Their Applications
7.1-7.2
14.
Logarithmic Functions, their Characteristics
7.3
15.
Mid-Semester Review & Test
16.
Simple & Compound Interest
1.
2.
3.
6.
7.
8.
13.
8.1
17.
Compound Amount, Present Value &
Effective Interest Rates
8.2
Annuities & Their Future Value, Sum & the
Size of Annuity
8.3
Annuities & Their Present Value, Mortgages
and Biweekly Mortgages
8.4
Cost-Benefit Analysis, Discounted Cash Flow
And Analysis
8.5
21.
Matrices, Their Types & Algebra
9.1-9.3
22.
Matrices, The Determinants and their Evaluation,
Matrix Inversion
9.4-9.5
Solving Systems of Linear Equations
And Selected Applications
9.5-9.6
Linear Programming Problem (LPP)
Nature of Constraints
10.1
25.
Graphical Solutions to an LPP
10.2
26.
Applications of LPP to Diet-Mix and
Transportation Models
10.3
Application of LPP to Capital Budgeting
Model and Blending Model
10.3
28.
Simplex Method
11.1-11.2
29.
Simplex Method (continued)
11.3
30.
Review & Discussions
18.
19.
20.
23.
24.
27.
Assessment Scheme:
Two Tests each of 20 marks during semester
Quizzes & Assignment (around 5 each)
Terminal Examination
Total
Grading Scheme:
= 40 marks
= 20 marks
= 40 marks
= 100 marks
PRE-DEFINED
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