STPM Mathematics T, Mathematics S and Further Mathematics Syllabuses

Please take note that the first eight topics (Paper 1) of Maths T and Maths S are the same. Besides, Maths T and Maths S are mutually exclusive. In other words, a STPM candidate cannot take both subjects at the same time. Maths T is taken by most science stream stuedents whereas Maths S is taken by some art stream students. Meanwhile, Further Maths is taken as the optional fifth subject by some science stream students.

STPM Mathematics T (also known as Pure Mathematics) Syllabus

1.Numbers and Sets

Real numbers

Exponents and logarithms

Complex numbers

Sets

2.Polynomials

Polynomials

Equations and inequalities

Partial fractions

3.Sequences and Series

SequencesSeries

Binomial expansions

4.Matrices

Matrices

Inverse matrices

System of linear equations

5.Coordinate Geometry

Cartesian coordinates in a plane

Straight lines

Curves

6.Functions

Functions and graphs

Composite functions

Inverse functions

Limit and continuity of a function

7.Differentiation

Derivative of a function

Rules for differentiation

Derivative of a function defined implicitly or parametrically

Applications of differentiation

8.Integration

Integral of a function

Integration techniques

Definite integrals

Applications of integration

9.Differential Equations

Differential equations

First order differential equations with separable variables

First order homogeneous differential equations

10.Trigonometry

Solution of a triangle

Trigonometric formulae

Trigonometric equations and inequalities

11.Deductive Geometry

Axioms

Polygons

Circles

12.Vectors

Vectors

Applications of vectors

13.Data Description

Representation of data

Measures of location

Measures of dispersion

14.Probability

Techniques of counting

Events and probabilities

Mutually exclusive events

Independent and conditional events

15.Discrete Probability Distributions

Discrete random variables

Mathematical expectation

The binomial distribution

The Poisson distribution

16.Continuous Probability Distributions

Continuous random variable

Probability density function

Mathematical expectation

The normal distribution

STPM Mathematics S (also known as Statistical Mathematics) Syllabus

1.Numbers and Sets
Real numbers
Exponents and logarithms
Complex numbers
Sets

2.Polynomials
Polynomials
Equations and inequalities
Partial fractions

3.Sequences and Series
SequencesSeries
Binomial expansions
4.Matrices
Matrices
Inverse matrices
System of linear equations
5.Coordinate Geometry
Cartesian coordinates in a plane
Straight lines
Curves

6.Functions
Functions and graphs
Composite functions
Inverse functions
Limit and continuity of a function

7.Differentiation
Derivative of a function
Rules for differentiation
Derivative of a function defined implicitly or parametrically
Applications of differentiation

8.Integration
Integral of a function
Integration techniques
Definite integrals
Applications of integration

9.Linear Programming

10.Network Planning

11.Data Description

12.Probability

13.Probability Distributions

14.Sampling and Estimation

15.Correlation and Regression

16.Time Series and Index Number