Chapter 1

Algebraic Methods

Algebraic fractions, improper fractions and careful simplification

Chapter 2

Functions and Graphs

Modulus, mappings, composite functions, inverse functions and transformations

Chapter 3

Trigonometric Functions

Sec, cosec, cot, reciprocal graphs, identities and inverse trig

Chapter 4

Trigonometric Addition Formulae

Addition formulae, double-angle formulae, R-form and identity proofs

Chapter 5

Exponentials and Logarithms

Exponential functions, natural logs, log laws and modelling

Chapter 6

Differentiation

Differentiate trig, exponential and logarithmic functions with the key rules

Chapter 7

Integration

Standard integrals, f(ax+b), trig identities and reverse chain rule

Chapter 8

Numerical Methods

Locate roots, fixed-point iteration and approximation methods