Mathematics T syllabus

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Mathematics T syllabus

帖子 由 Giraffe 于 周四 七月 23, 2009 3:59 am

Content
1.Numbers and sets
2.Polynomials
3.Sequences and series
4.Matrices
5.Coordinate geometry
6.Functions
7.Differentiation
8.Integration
9.Differential equations
10.Trigonometry
11.Deductive geometry
12.Vectors
13.Data description
14.Probability
15.Discrete probability distributions
16.Continuous probability distributions

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
Paper 2 is based on topics 9 to 16. Each paper contains 12 compulsory questions of variable mark allocations totaling 100 marks.

Giraffe
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回复: Mathematics T syllabus

帖子 由 lonelytree 于 周六 五月 22, 2010 9:34 am

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
    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
    ***
    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

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