Topics

PURE MATHEMATICS

Functions

• Periodic Functions

Graphing Techniques

• Can a Graph Cross An Asymptote?

Equations & Inequalities

• Solving a System of Linear Equations with No Unique Solutions

Sequences & Series

• Integers Grouped into Sets (AP and GP)
• Finding number of terms, n in a geometric progression

Vectors

• Finding magnitude of vectors by cosine rule

Complex Numbers

Differentiation & Integration

• Differentiation Application: Rate of Change

• Integration Application: Area of Rectangles and Area under the Curve
• Differential Equation Definitions & Problem
• Integration by Parts Formula Derivation & Examples
• Integration Application: Volume
• Integration Involving Modulus Function
• Cover Up Rule for Partial Fractions
• Integration Techniques Summary & Examples

Maclaurin’s Series

• Maclaurin’s Series Expansion For f'(x)

Differential Equations

• Differential Equation Definitions & Problem

STATISTICS

Permutations & Combinations

• Permutation & Combination: The Listing Method
• Permutation & Combination: The Slotting Method Done Differently

Probability

Binomial, Poisson & Normal Distribution

Sampling

Hypothesis Testing

Correlation & Regression

Old Syllabus (9758)

Mathematical Induction

• 5 Steps Mathematical Induction Template Summary