1429/5405 Business Math Complete Course

This course (Code: 1429 / 5405) is offered by the Department of Mathematics, Allama Iqbal Open University (AIOU), Islamabad. It is designed to develop and strengthen the fundamental mathematical concepts required for the study of Business and Social Sciences at the undergraduate level.

The course is organized into 9 units covering the following topics:

1. Probability Theory – Basic concepts, rules, independent/dependent events, conditional probability
2. Random Variables – Discrete & continuous variables, probability distributions and their properties
3. Equations – First and second-degree equations, inequalities, absolute values, coordinate geometry
4. Linear Equations – Characteristics, graphing, slope, intercepts, and different forms of straight lines
5. Matrices – Matrix operations and their applications in business problems
6. Determinants and Inverses – Properties and applications in business and finance
7. Derivatives – Rate of change, differentiation concepts and rules
8. Partial Derivatives – Properties, theorems, cost functions, and profit maximization
9. Optimization – Minimization of cost and maximization of profit and revenue

Course Objectives:

• Develop an understanding and appreciation of Mathematics among students
• Present material in a motivating way to encourage higher-level study
• Build the ability to apply mathematical concepts in real business situations

This course is suitable for students enrolled in Business, Commerce, or Social Sciences programs seeking to build a strong mathematical foundation for practical and professional use.