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