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Learning Management System

Topic Syllabus

The subject is divided into several major chapters. Upon completion of this subjectstudents would be expected to have acquired a broad understanding of mathematical

principles and an appreciation of mathematics as a logical and coherent subject. Studentsare also expected to:-

i) develop an ability to analyse problems logically,ii) recognise when and how a situation may be represented mathematically,

iii) identify and interpret relevant factors and where necessary,

iv) select an appropriate mathematical method to solve the problem.

Chapter 1 : Financial Mathematics

i) Simple and Compound interest.

ii) Nominal and effective (annual percentage) rate of interest.

iii) Present value and future values of annuities. Present value of perpetuities aswell as deferred annuities.

iv) Loan Repayment using Amortisation and Sinking Fund methods.

v) Investment appraisal techniques: Net Present Value (NPV) and Internal Rate

of Return (IRR)

Chapter 2 : Differentiation

i) Rules of differentiation

ii) Gradient of a curve.

iii) Tangent line and normal lineiv) Distinguish between maximum and minimum points.

Chapter 3 : Integration

i) Reverse process of differentiation.

ii) Forms of integration ( log and exponential terms will not be tested )iii) Establish equation of a curve.

iv) Evaluate definite integrals to find the area under the curve.

Chapter 4 : Calculus

i) Formulate total cost, revenue and profit functions.

ii) Determine the break even points.iii) Establish quantity of items produced or sold to obtain maximum or minimum

profit / revenue.

iv) Sketch graphs of total cost, revenue and profit functions.v) Compute value of point (price) elasticity of demand.

vi) Obtaining revenue and cost equations when marginal revenue and marginal

cost equations are given

Last update: 30th December 2012

7/29/2019 Syllabusnew

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Learning Management System

Chapter 5: Matrix

i) Addition and Subtraction of Matrices

ii) Multiplication of Matricies

iii) Inverse of Matricesiv) Using matrix to solve simultaneous equations

Chapter 6 : Linear Programming

i) Formulating the contraints and the objective function

ii) Drawing the graph and obtaining the feasible regioniii) Using the graph to obtain the optimal production schedule

Last update: 30th December 2012