Skip to content

Business Mathematics -I syllabus

MTH 2016 units · 33 topicsAcademic year 2083/84
Browse the units

Business Mathematics -I

6 units

1. Straight lines and Functions (6 LHs)

  1. Straight lines, Linear functions, Applications
    1. Straight lines, Linear functions
  2. Demand, Supply, Cost and Revenue Applications
    1. Applications: demand, supply, cost, revenue
  3. Elasticity and Constraints
    1. Elasticity of demand, Supply and income, Budget and cost constraints
  4. Least Squares and Time Series
    1. Least square method and line of best fit (two variables only), Least square method for time series analysis
  5. Laboratory Work
    1. Introducing Excel, Excel for linear functions.

2. Simultaneous equations (5 LHs)

  1. Simultaneous linear equations
    1. Simultaneous linear equations
  2. Equilibrium and Break-even Points
    1. Equilibrium and break-even points
  3. Consumer, Producer and Total Surplus
    1. Consumer surplus, Producer surplus and Total surplus
  4. National Income and IS–LM Model
    1. National income and the IS- LM model
  5. Laboratory Work
    1. Excel for simultaneous linear equations.

3. Quadratic Equations (5 LHs)

  1. Graphs of Quadratic functions, Quadratic equations, Applications to economics and business
    1. Graphs of Quadratic functions
  2. Quadratic Equations
    1. Quadratic equations
  3. Economic and Business Applications
    1. Applications to economics and business
  4. Laboratory Work
    1. Excel for quadratic equations.

4. Non-linear functions, their graphs and applications (10 LHs)

  1. Cubic and other polynomial functions
    1. Cubic and other polynomial functions, Exponential functions, Logarithmic functions, Hyperbolic functions of the form a/(bx + c)
  2. Bisection method, Newton-Raphson method for solving nonlinear equations
    1. Bisection method, Newton-Raphson method for solving nonlinear equations
  3. Laboratory Work
    1. Excel for non-linear functions; Smart math calculator (software): Bisecton method, Newton-Raphson method.

5. Financial mathematics (10 LHs)

  1. Arithmetic and geometric sequences and series
    1. Arithmetic and geometric sequences and series
  2. Simple interest
    1. Simple interest, compound interest and annual percentage rates, Depreciation, Net present value and internal rate of return, Annuities, debt repayments, sinking funds
  3. Relationship between interest rates and the price of bonds
    1. Relationship between interest rates and the price of bonds
  4. Laboratory Work
    1. Excel for financial mathematics.

6. Limit and Differentiation, Applications of derivatives (12 LHs)

  1. Idea of limit
    1. Idea of limit
  2. Limits of Algebraic Functions
    1. Limit of algebraic functions at a point and at infinity (basic concept only)
  3. Slope and Differentiation
    1. Slope of a curve and differentiation
  4. Rules of Differentiation
    1. Rules of differentiation ( power rule, sum rule, product rule, quotient rule, and chain rule)
  5. Differentiation by First Principles
    1. Differentiation by first principle ( algebraic, logarithmic and exponential functions)
  6. Marginal Analysis
    1. Differentiation and marginal analysis (marginal cost, marginal revenue and marginal profit)
  7. Function Behaviour and Stationary Points
    1. Increasing and decreasing function, Stationary point, Point of inflection
  8. Implicit and Parametric Differentiation
    1. Differentiation of implicit and parametric functions
  9. Economic Optimization
    1. Economic applications of derivatives for maximum and minimum points
  10. Higher Order Derivatives
    1. Higher order derivatives ( up to 3rd order)
  11. Curvature and Elasticity
    1. Curvature, Elasticity of demand and the derivatives
  12. Laboratory Work
    1. Excel for applications of derivatives.