See the course map

The 2025 introduction sets four aims: acquire concepts and skills for tertiary mathematics, science, engineering and related studies; develop thinking, reasoning, communication and modelling through problem solving; connect mathematics internally and to other disciplines; and appreciate its nature, beauty and value in life.

Topics and the source teaching sequence

Source module	Topics	Source timing
Revision: O-Level content	Number system; quadratic functions and equations; factor theorem; surds and indices; exponential and logarithmic functions; partial fractions; trigonometry; differentiation and integration	Independent learning
I: Functions and graphs	Graphing techniques; functions; transformations; conics; inequalities	JC1
I: System of linear equations	System of linear equations	Independent learning
II: Sequences and series	Sequences and series	JC1
III: Vectors	Basic vectors; lines; planes	JC1
IV: Calculus	Techniques and applications of differentiation; Maclaurin series; parametric equations; techniques of integration; definite integrals; differential equations	JC1 / JC2
V: Complex numbers	Complex numbers	JC2
VI: Statistics	Permutations and combinations; probability; discrete random variables; binomial and normal distributions; sampling; hypothesis testing; correlation and linear regression	JC2

Use Learn to choose a chapter, or begin with assumed knowledge. Use the source sequence to plan your study at your own pace.