Table of Contents
Module 1: Limits and continuity
Unit 1: Limits
Unit 2: Continuity
Module 2: Differentiation
Unit 1: Differentiation from first principles
Unit 2: Differentiation techniques
Module 3: Applications of differentiation
Unit 1: Irrational roots and Newton’s method
Unit 2: Optimisation: maximum and minimum values
Unit 3: Rates of change
Unit 4: Related rates
Module 4: Integration techniques
Unit 1: Basic Integration
Unit 2: Integration by inspection
Unit 3: Integration by means of algebraic substitution
Unit 4: Integration of trigonometric functions
Unit 5: Integration of algebraic
Unit 6: Partial fractions
Unit 7: Integration by parts
Module 5: Definite integrals
Unit 1: Definite integrals
Unit 2: Definite integrals requiring a change of variable
Unit 3: Improper definite integrals
Unit 4: Laplace transforms
Module 6: Area and volume
Unit 1: Area
Unit 2: Volume
Module 7: Second moment of area and moment
of inertia
Unit 1: Second moment of area
Unit 2: Moment of inertia (second moment of mass)
Module 8: Differential equations
Unit 1: First order differential equations
Unit 2: Second order differential equations