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Wednesday, 20 May 2009

STPM Mathematics T (also known as Pure Mathematics) Syllabus

(May not be taken with 950 Mathematics S)

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


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

  2. Polynomials
    Equations and inequalities
    Partial fractions

  3. Sequences and Series
    Binomial expansions

  4. Matrices
    Inverse matrices
    System of linear equations

  5. Coordinate Geometry
    Cartesian coordinates in a plane
    Straight lines

  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

  12. 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

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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