Module 1: Determinants
Unit 1 Second order determinants
Unit 2 Third order determinants
Unit 3 Cramer’s rule for solving a system
Module 2: Complex numbers
Unit 1 Imaginary numbers, factors and solutions
Unit 2 Complex numbers on an Argand diagram
Unit 3 Combine complex numbers in rectangular form
Unit 4 The modulus and argument of a complex number
Unit 5 Polar form of complex numbers
Unit 6 Multiply and divide in polar form
Unit 7 De Moivre’s theorem for powers
Module 3: Trigonometry
Unit 1 Trigonometric functions and special angles
Unit 2 Identities and reduction formulae
Unit 3 Trigonometric equations
Unit 4 Compound angle formulae
Unit 5 Double and half angle formulae
Module 4: Functions and graphs
Unit 1 Features of relations and functions
Unit 2 Sketch graphs
Module 5: Limits and differentiation
Unit 1 Limits
Unit 2 The binomial theorem
Unit 3 Differentiation by first principles
Unit 4 Differentiation using rules
Unit 5 Differentiation applications
Module 6: Integration
Unit 1 Integration of polynomials
Unit 2 Integration applications