STPM Mathematics S 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. 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

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