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Wednesday, 20 May 2009

STPM Mathematics S (also known as Statistical Mathematics) Syllabus

(May not be taken with 954 Mathematics T or 956 Further Mathematics T)

The Mathematics S 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 social sciences and management 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. 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

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 T) 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 totalling 100 marks.

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