Module 1 Determinants
Introduction
Unit 1.1 Matrices and determinants
Unit 1.2 Second and third-order determinants
Unit 1.3 Cramer's rule and third-order determinants
Module summary
Module checklist
Exam practice
Module 2 Complex numbers
Introduction
Unit 2.1 Imaginary numbers and complex numbers
Unit 2.2 Rectangular form of complex numbers
Unit 2.3 Polar form of complex numbers
Unit 2.4 De Moivre's theorem for complex numbers
Module summary
Module checklist
Exam practice
Module 3 Trigonometry
Introduction
Unit 3.1 Special triangles in the four quadrants
Unit 3.2 Compound angles
Unit 3.3 Factorising trigonometric equations
Unit 3.4 Deriving trigonometric
identities
Unit 3.5 Applying trigonometric identities
Module summary
Module checklist
Exam practice
Module 4 Sketch graphs
Introduction
Unit 4.1 Function and graph definitions
Unit 4.2 Graphs of functions and relations
Module summary
Module checklist
Exam practice
Module 5 Differential calculus
Introduction
Unit 5.1 Indeterminate limits
Unit 5.2 The binomial theorem
Unit 5.3 Differentiation
Unit 5.4 Second-order derivatives
Module summary
Module checklist
Exam practice
Module 6 Integration
Introduction
Unit 6.1 The concept of integration
Unit 6.2 The rules of integration
Unit 6.3 Integration and area
Module summary
Module checklist
Exam practice
Mock examination
Formula sheet
Selected answers