Applied Mathematics for Business syllabus

Applied Mathematics for Business

• 1 Straight Lines and Functions (4 LHs)

  • Straight lines and functions
  • Demand, supply, cost, revenue and elasticity applications
  • Budget and cost constraints
  • Method of least squares
• 2 Simultaneous Equations and Quadratic Equations (8 LHs)

  • Simultaneous linear equations
  • Equilibrium and break-even analysis
  • Consumer and producer surplus
  • IS-LM model
  • Quadratic graphs and equations
  • Business and finance applications
• 3 Linear Programming Problems and Decision Making (12 LHs)

  • Linear inequalities in two variables
  • Graphical and two-variable simplex methods
  • Decision-making under certainty, uncertainty and risk
• 4 Financial Mathematics (8 LHs)

  • Simple and compound interest
  • Annual percentage rates and depreciation
  • NPV and IRR
  • Annuities and debt repayment sinking funds
  • Interest rates and bond prices
  • Cost-benefit analysis
• 5 Differentiation and Applications (8 LHs)

  • Slope and differentiation rules
  • Marginal analysis
  • Single-variable optimization and extrema
  • Partial-derivative concept
• 6 Integration and Applications (8 LHs)

  • Anti-derivatives
  • Integration of algebraic, exponential and logarithmic functions
  • Integration by parts and definite integrals
  • Business and finance applications