Maths T - STPM Mathematics T

STPM Mathematics T is also known as Pure Mathematics

Note: 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.

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
Sequences
Series
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

Updated On: 07.11.01