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Sunday, 31 May 2009

KEDAH STPM MATHEMATICS TRIAL 2008

STPM Math (Kedah)

STPM Mathematics S/T Paper 1 [ 2007 ]

ChungLing2007

STPM Mathematics S/T Paper 1

Stpm Math s&t1 (Smktanahmerah)

STPM Mathematics Formula

STPM Math Formula

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;

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:

  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.