STPM Mathematics S (also known as Statistical Mathematics) Syllabus

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

Aims
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.

CONTENT:

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

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.