**Aims **The Mathematics T syllabus aims to develop the understanding of mathematical concepts and their applications, together with the skills in mathematical reasoning and problem solving, so as to enable students to proceed to programmes related to science and technology at institutions of higher learning

CONTENT:

- Numbers and Sets

Real numbers

Exponents and logarithms

Complex numbers

Sets - Polynomials

Polynomials

Equations and inequalities

Partial fractions - Sequences and Series

Sequences

Series

Binomial expansions - Matrices

Matrices

Inverse matrices

System of linear equations - Coordinate Geometry

Cartesian coordinates in a plane

Straight lines

Curves - Functions

Functions and graphs

Composite functions

Inverse functions

Limit and continuity of a function - Differentiation

Derivative of a function

Rules for differentiation

Derivative of a function defined implicitly or parametrically

Applications of differentiation - Integration

Integral of a function

Integration techniques

Definite integrals

Applications of integration - Differential Equations

Differential equations

First order differential equations with separable variables

First order homogeneous differential equations - Trigonometry

Solution of a triangle

Trigonometric formulae

Trigonometric equations and inequalities - Deductive Geometry

Axioms

Polygons

Circles - Vectors

Vectors

Applications of vectors - Data Description

Representation of data

Measures of location

Measures of dispersion - Probability

Techniques of counting

Events and probabilities

Mutually exclusive events

Independent and conditional events - Discrete Probability Distributions

Discrete random variables

Mathematical expectation

The binomial distribution

The Poisson distribution - Continuous Probability Distributions

Continuous random variable

Probability density function

Mathematical expectation

The normal distribution

**Form of Examination **The examination consists of two papers; the duration for each paper is 3 hours. Candidates are required to take both Paper 1 and Paper 2.

**Paper 1** (same as Paper 1, Mathematics S) is based on topics 1 to 8 and

**Paper 2** is based on topics 9 to 16. Each paper contains 12 compulsory questions of variable mark allocations totaling 100 marks.

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