PART A - BUSINESS MATHEMATICS [40 MARKS]
- Ratio and proportion, Indices and Logarithms:
Ratio and proportion and Time and work-related problems, Laws of Indices, Exponents and Logarithms and Anti Logarithms. - Equations:
Equations: Linear Simultaneous linear equations up to three variables, Quadratic and Cubic equations in one variable. Applications in Business related problems. - Linear Inequalities:
Linear Inequalities: Linear Inequalities in one and two variables and the solution space. - Mathematics of Finance:
Simple Interest
Compound interest
Nominal and Effective Rate of Interest
Present Value
Net Present Value
Future Value
Perpetuity
Annuities
Sinking Funds
Calculating of EMI
Calculations of Returns: Nominal and Effective rate of Return
Compound Annual growth rate (CAGR) - Permutations and Combinations:
Basic concepts of Permutations and combinations: Introduction, the factorial, permutations, results, circular permutations, permutations with restrictions, Combinations with standard results. - Sequence and Series:
Introduction Sequences, Series, Arithmetic and Geometric progression, Relationship between AM and GM and Sum of n terms of special series and Business Applications. - Sets, Relations, and Functions. Basics of Limits and Continuity functions.
- Basic applications of Differential and Integral calculus in Business and Economics (Excluding the trigonometric applications).