UNIVERSITI MALAYSIA PERLIS
Institut Matematik Kejuruteraan
Course Schedule for Business Mathematics: BQT 133
(Academic Session I, 2013/2014)
Subject and Code
:
Business Mathematics / BQT 133
Total Lecture Hours
:
2 Hours (lecture) x 14 weeks
2 Hours (tutorial) x 14 weeks
Synopsis
:
This purpose of the course is to provide the student with mathematical
techniques to help them to make better decisions in the business problems.
Topics include: Matrix Algebra, Financial Mathematics, Differential Calculus and
Integral Calculus.
Course Outcome (CO) :
At the end of this course the student should be able to:
CO1: Student should able to identify and apply the knowledge of matrix
algebra to solve the business models
CO2: Student should able to identify and apply the knowledge in
mathematics to solve the financial problems
CO3: Student should able to apply the knowledge of Differential Calculus
and select suitable methods to solve the business problems
CO4: Student should able to apply the knowledge of Integral Calculus
and select suitable methods to solve the business problems
Week
Week 1
9-13/9/13
Week 2
17-20/9/13
Week 3
23-27/9/13
Week 4
30/9-4/10/13
Week 5
7-11/10/13
Topic
CHAPTER 1: Matrix Algebra
1.1 Introduction
1.2 Type of Matrices
1.3 Matrix Operations
Activities
Lecture (2 hrs)
Tutorial (2 hrs)
1.4 Determinants
1.5 Inverse Matrix
Lecture (2 hrs)
Tutorial (2 hrs)
1.6 Solving the System of Linear Equations
1.6.1 Inversion Method
1.6.2 Gaussian Elimination and Gauss
Jordan Elimination
1.6.3 Cramer’s Rule
Lecture (2 hrs)
Tutorial (2 hrs)
1.7 Matrix Applications
1.7.1 Application of Inversion Method
1.7.2 Application of Gaussian Elimination
and Gauss Jordan Elimination
1.7.3 Application of Cramer’s Rule
1.8 Input – Output Models
Lecture (2 hrs)
Tutorial (2 hrs)
Lecture (2 hrs)
Tutorial (2 hrs)
Mid-term break (14– 20/10/13)
Week 6
21-25/10/13
Week 7
28/10-1/11/13
Week 8
4-8/11/13
CHAPTER 2: Financial Mathematics
2.1 Introduction
2.2 Simple Interest
2.3 Compound Interest
2.3.1 Effective Rate of Interest
2.3.2 Present Value
2.3.3 Continuous Compounding of Interest
2.4 Annuities
2.4.1 Future Value of Ordinary Annuity
Certain
2.4.2 Present Value of Ordinary Annuity
Certain
2.4.3 Amortization
2.4.4 Sinking Fund
2.5 Depreciation
2.5.1 Straight Line Method
2.5.2 Declining Balance Method
2.5.3 Sum of Years Digits Method
Week 9
11-15/11/13
CHAPTER 3: Differential Calculus
3.1 Introduction
3.2 Differentiation Formulas
3.2.1 Differentiation of Standard Functions
3.2.2 The Sum of the Difference Rule
Week 10
18-22/11/13
3.3 Function of a Function
3.3.1 Products Rule
3.3.2 Quotients Rule
3.3.3 Chain Rule
3.3.4 The Power Rule
Week 11
25-29/11/13
3.3.5 Derivatives of Trigonometric Functions
3.3.6 Logarithmic Differentiation
Lecture (2 hrs)
Tutorial (2 hrs)
Lecture (2 hrs)
Tutorial (2 hrs)
Lecture (2 hrs)
Tutorial (2 hrs)
Lecture (2 hrs)
Tutorial (2 hrs)
Lecture (2 hrs)
Tutorial (2 hrs)
Lecture (2 hrs)
Tutorial (2 hrs)
3.4 Application of Differentiations
3.4.1 Marginal Cost, Revenue and Profit
CHAPTER 4: Integral Calculus
4.1 Introduction
4.2 Standard Integral
Week 12
2-6/12/13
Week 13
9-13/12/13
4.3 Indefinite Integral
4.3.1 Integral of Polynomial Functions
4.3.2 Integral of Exponential Functions
4.3.3 Integral of Logarithmic Functions
4.4 Definite Integrals
Lecture (2 hrs)
Tutorial (2 hrs)
Lecture (2hrs)
Week 14
16-20/12/13
4.5 Techniques of Integration
4.5.1 Integration by Substitution
Tutorial (2hrs)
4.6 Applications of Integration
4.6.1 Consumer’s Surplus and Supplier’s
Surplus
Lecture (2 hrs)
Tutorial (2 hrs)
Study Week (23/12/2013 -29/12/2013)
Final Exam (30/12/2013 – 19/1/2014)
SEMESTER BREAK (20/1/2014 – 16/2/2014)
Evaluation:
(i) Examination: 90%
(a) Final Examination – 60%
(b) Mid-Term Test 1 – 15%
(c) Mid Term Test 2 – 15%
(ii) Course Work: 10 %
(a) Quizzes/Assignment - 10%
List of Textbooks and References: (Beginning with the current reference)
1.
2.
3.
4.
5.
John Shannon (1995). Mathematics for Business, Economic, Economics and Finance, John Wiley and Son
Brechner, Robert (2008). Contemporary Mathematics for Business and Consumers, South-Werstern College Pub.
Steve Slavin, Tere Stouffer (2007). Business Math, John Wiley.
Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen (2008), Finite Mathematics for Business, Economics, Life
Sciences, and Social Sciences, Pearson/Prentice Hall.
Zulkarnain Zakaria (2000). Matematik Perniagaan, UTM Press.
Lecturer: Madam Nornadia binti Mohd Yazid
Room: L-01-24, Institut Matematik Kejuruteraan, Bangunan Pusat Kejuruteraan, Kampus Pauh Putra.
Phone: 017-4898624
Email: nornadia_mohdyazid@yahoo.com