Sunday 31 May 2009
Thursday 21 May 2009
Chapter 1 : Numbers and sets
1. Numbers and sets
1.1 Real numbers
1.2 Exponents and logarithms
1.3 Complex numbers
1.4 Sets
Explanatory notes
Candidates should be able to
(a) understand the real number system;
(b) carry out elementary operations on real numbers;
(c) use the properties of real numbers;
(d) use the notation for intervals of real numbers;
(e) use the notation |x| and its properties;
(f) understand integral and rational exponents;
(g) understand the relationship between logarithms and exponents;
(h) carry out change of base for logarithms;
(i) use the laws of exponents and laws of logarithms;
(j) use the results: for a1, and and,,and
(k) solve equations and inequality of involving exponents and logarithms;
(l) understand the meaning of the real part, imaginary part, and conjugate of a complex number;
(m) find the modulus and argument of a complex number;
(n) represent complex numbers geometrically by means of an Argand diagram;
(o) use the condition for the equality of two complex numbers;
(p) carry out elementary operations on complex numbers expressed in Cartesian form;
(q) understand the concept of a set and set notation;
(r) carry out operations on sets;
(s) use the laws of the algebra of sets;
1.1 Real numbers
1.2 Exponents and logarithms
1.3 Complex numbers
1.4 Sets
Explanatory notes
Candidates should be able to
(a) understand the real number system;
(b) carry out elementary operations on real numbers;
(c) use the properties of real numbers;
(d) use the notation for intervals of real numbers;
(e) use the notation |x| and its properties;
(f) understand integral and rational exponents;
(g) understand the relationship between logarithms and exponents;
(h) carry out change of base for logarithms;
(i) use the laws of exponents and laws of logarithms;
(j) use the results: for a1, and and,,and
(k) solve equations and inequality of involving exponents and logarithms;
(l) understand the meaning of the real part, imaginary part, and conjugate of a complex number;
(m) find the modulus and argument of a complex number;
(n) represent complex numbers geometrically by means of an Argand diagram;
(o) use the condition for the equality of two complex numbers;
(p) carry out elementary operations on complex numbers expressed in Cartesian form;
(q) understand the concept of a set and set notation;
(r) carry out operations on sets;
(s) use the laws of the algebra of sets;
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)
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:
- Numbers and Sets
Real numbers
Exponents and logarithms
Complex numbers
Sets - Polynomials
Polynomials
Equations and inequalities
Partial fractions - Sequences and Series
Sequences
Series
Binomial expansions - Matrices
Matrices
Inverse matrices
System of linear equations - Coordinate Geometry
Cartesian coordinates in a plane
Straight lines
Curves - Functions
Functions and graphs
Composite functions
Inverse functions
Limit and continuity of a function - Differentiation
Derivative of a function
Rules for differentiation
Derivative of a function defined implicitly or parametrically
Applications of differentiation - Integration
Integral of a function
Integration techniques
Definite integrals
Applications of integration - Linear Programming
- Network Planning
- Data Description
- Probability
- Probability Distributions
- Sampling and Estimation
- Correlation and Regression
- 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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