|
CORE |
|
|
|
TOPIC |
DESCRIPTION |
HRS |
|
1. |
Number and algebra |
Routine use of addition, subtraction, multiplication
and division using integers, decimals and fractions,
including order of operations |
20 |
|
2. |
Functions and equations |
to explore the notion of function as a unifying theme
in mathematics, and to apply functional methods to a variety of
mathematical
situations |
26 |
|
3. |
Circular functions and trigonometry |
to explore the circular functions, to introduce some
important trigonometric identities and to solve triangles using
trigonometry |
22 |
|
4. |
Statistics and Probability |
To introduce basic concepts. It may be considered as
three parts: manipulation and presentation of statistical data
(6.1–6.4), the laws
of probability (6.5–6.8), and random variables and
their probability distributions (6.9–6.11) |
40 |
|
5. |
Matrices |
to provide an elementary introduction to matrices, a
fundamental concept of linear algebra |
12 |
|
6. |
Vectors |
to introduce the use of vectors in two and three
dimensions, and to facilitate solving problems involving points, lines
and planes |
22 |
|
7 |
Calculus |
to introduce students to the basic concepts and
techniques of differential and integral calculus and their application |
48 |
|
|
|
Total Teaching Hours |
190 |
|
|
|
OPTIONS |
|
|
|
TOPIC |
DESCRIPTION |
HRS |
|
|
Statistics and probability |
Concept, order and type of a matrix; Transpose,
determinant of a matrix; Arithmetic of matrices; Storage and handling
of data; Graph theory; Types of graphs; Adjacency matrix, incidence
matrix, interpretation of square matrix; Directed graphs; Simple
Markov chains; Simple games |
40 |
|
|
Sets, relations and groups |
Normal distribution; Standard normal (Z-score)
distribution; Applications of normal distribution; Bivariate data,
correlation; Regression; Chi-square test for independence and goodness
of fit |
40 |
|
|
Series and differential equations |
Gradient of a line; Derivatives of polynomials;
Gradients of curves; Increasing and decreasing functions; Turning
points; The derivative concept, first and second derivative test;
Anti-differentiation, integration |
40 |
| |
Discrete mathematics |
|
40 |
|
|
|
Total Teaching Hours |
40 |