PART A - BUSINESS MATHEMATICS [40 MARKS]

  1. Ratio and proportion, Indices and Logarithms:
    Ratio and proportion and Time and work-related problems, Laws of Indices, Exponents and Logarithms and Anti Logarithms.
  2. Equations:
    Equations: Linear Simultaneous linear equations up to three variables, Quadratic and Cubic equations in one variable. Applications in Business related problems.
  3. Linear Inequalities:
    Linear Inequalities: Linear Inequalities in one and two variables and the solution space.
  4. 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)
  5. Permutations and Combinations:
    Basic concepts of Permutations and combinations: Introduction, the factorial, permutations, results, circular permutations, permutations with restrictions, Combinations with standard results.
  6. 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.
  7. Sets, Relations, and Functions. Basics of Limits and Continuity functions.
  8. Basic applications of Differential and Integral calculus in Business and Economics (Excluding the trigonometric applications).
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