MATHS T STPM

WELCOME TO
SMK KUALA KUBU BHARU

MATHEMATICS T TEACHER
LAW ENG TUAN

MATHEMATICS T
STPM (954)

Compulsory Subject
For

Science Students

Aims

The Mathematics T is designed to provide for a
pre university course that enables candidates to
develop the understanding of mathematical
concepts and mathematical thinking, acquire
skills in problem solving and the applications of
mathematics related to science and technology.

Scheme of Assessment

Term of Paper Code and Type of Test Marks Duration
Study Nama 60 (26.67 %) 1 h 30 min
First Term 954/1- Algebra Written Test 45 marks

Second Term and Geometry Section A 15 marks
- Answer All 6
Third Term 954/2 - Calculus
questions
954/3 - Statistics
Section B
- Answer 1 out

of 2 questions

Paper 4 : Coursework

Term of Paper Code Type of Test Marks Duration
Study And Name
180 Through
First Term 954 / 4 Coursework (20 %) out 3
Mathematics T
Second Paper 4 3 terms
Term Assignments,
each based
Third Term on
topic 1 to 6,
7 to 12 and
13 to 18

MATHEMATICS T

SYLLABUS OF
MATHEMATICS T 954

FIRST TERM

ALGEBRA
AND

GEOMETRY

TOPIC 1 TO 6

TOPIC 1 : FUNCTIONS

1.1 FUNCTIONS

1.2 POLYNOMIAL AND RATIONAL FUNCTIONS

1.3 EXPONENTIAL AND LOGARITHMIC
FUNCTIONS

1.4 TRIGONOMETRIC FUNCTIONS

TOPIC 2 : SEQUENCES AND SERIES

2.1 SEQUENCES
2.2 SERIES
2.3 BINOMIAL EXPANSION

TOPIC 3 : MATRICES

3.1 MATRICES
3.2 SYSTEMS OF LINEAR EQUATIONS

TOPIC 4 : COMPLEX NUMBERS

4.1 COMPLEX NUMBER IN POLAR FORM

4.2 POWERS AND ROOTS OF COMPLEX
NUMBERS

TOPIC 5 : ANALYTIC GEOMETRY

5.1 CIRCLES
5.2 ELLIPSE
5.3 PARABOLA
5.4 HYPERBOLA

TOPIC 6 : VECTORS

6.1 VECTORS IN TWO AND THREE
DIMENSION

6.2 VECTOR GEOMETRY

SECOND TERM

CALCULUS

TOPIC 7 TO 12

TOPIC 7 : LIMITS AND CONTINUITY

7.1 LIMITS
7.2 CONTINUITY

TOPIC 8 : DIFFERENTIATION

8.1 DERIVATIVES
8.2 IMPLICIT DIFFERENTIATION
8.3 APPLICATIONS OF DIFFERENTIATION
8.4 SOLVING OPTIMISATION PROBLEMS

TOPIC 9 : INTEGRATION

9.1 INDEFINITE INTEGRALS
9.2 TECHNIQUES OF INTEGRATION
9.3 DEFINITE INTEGRALS

TOPIC 10 : DIFFERENTIAL EQUATIONS

 10.1 FIRST ORDER DIFFERENTIAL EQUATIONS
WITH SEPAREABLE VARIABLES

 10.2 FIRST ORDER LINEAR DIFFERENTIAL EQUATIONS
 10.3 TRANSFORMATION OF DIFFERENTIAL EQUATIONS
 10.4 APPLICATIONS OF DIFFERENTIAL EQUATIONS

TOPIC 11 : MACLAURIN SERIES

11.1 EXPONENTIAL SERIES
11.2 LOGARITHMIC SERIES
11.3 TRIGONOMETRIC SERIES
11.4 SERIES EXPANSION

TOPIC 12 : NUMERICAL METHODS

12.1 NUMERICAL SOLUTION OF EQUATIONS
12.2 NEWTON RAPHSON METHOD
12.3 NUMERICAL INTEGRATION
12.4 TRAPEZIUM RULE

THIRD TERM

STATISTIC

TOPIC 13 TO 18

TOPIC 13 : DATA DESCRIPTION

13.1 STEM-AND-LEAF DIAGRAMS
13.2 BOX-PLOTS
13.3 HISTOGRAM
13.4 CUMULATIVE FREQUENCY CURVES
13.5 MEAN, MODE, MEDIAN, INTERQUARTILE

RANGE AND STANDARD DEVIATION
OF DATA
13.6 PEARSON COEFFICIENTS

TOPIC 14 : PROBABILITY

14.1 PROBABILITY OF AN EVENT
14.2 CONDITIONAL PROBABILITY
14.3 RULE OF TOTAL PROBABILITY

TOPIC 15 : PROBABILITY
DISTRIBUTION

15.1 DISCRETE RANDOM VARIABLES
15.2 CONTINUOUS RANDOM VARIABLES
15.3 BINOMIAL DISTRIBUTION
15.4 POISSON DISTRIBUTION
15.5 NORMAL DISTRIBUTION

TOPIC 16 : SAMPLING AND
ESTIMATION

16.1 SAMPLING
16.2 ESTIMATION

TOPIC 17 : HYPOTHESIS TESTING

17.1 NULL HYPOTHESIS
17.2 ALTERNATIVE HYPOTHESIS
17.3 HYPOTHESIS TEST

TOPIC 18 : CHI-SQUARED TEST

18.1 CHI-SQUARED DISTRIBUTION
18.2 CHI-SQUARED STATISTIC
18.3 CHI-SQUARED TEST