SYLLABUS AIMS
The aims H2 of Mathematics are to enable students to:
(a) acquire mathematical concepts and skills to prepare for their tertiary studies in mathematics, sciences,engineering and other related disciplines
(b) develop thinking, reasoning, communication and modelling skills through a mathematical approach toproblem-solving
(c) connect ideas within mathematics and apply mathematics in the contexts of sciences, engineering andother related disciplines
(d) experience and appreciate the nature and beauty of mathematics and its value in life and other disciplines.
SECTION A: PURE MATHEMATICS
1 Functions and graphs
- 1.1 Functions
- 1.2 Graphs and transformations
- 1.3 Equations and inequalities
2 Sequences and series
- 2.1 Sequences and series
3 Vectors
- 3.1 Basic properties of vectors in two and three dimensions
- 3.2 Scalar and vector products in vectors
- 3.3 Three-dimensional vector geometry
4 Introduction to Complex numbers
- 4.1 Complex numbers expressed in cartesian form
- 4.2 Complex numbers expressed in polar form
5 Calculus
- 5.1 Differentiation
- 5.2 Maclaurin series
- 5.3 Integration techniques
- 5.4 Definite integrals
- 5.5 Differential equations
SECTION B: PROBABILITY AND STATISTICS
6 Probability and Statistics
- 6.1 Probability
- 6.2 Discrete random variables
- 6.3 Normal distribution
- 6.4 Sampling
- 6.5 Hypothesis testing
- 6.6 Correlation and Linear regression