Introduction

Introducing CfE Higher Mathematics

Algebra

Quadratics: Completing the Square

Quadratics: Solving Quadratic Inequalities

Quadratics: The Discriminant

Quadratics: Quiz

Polynomials

Polynomials: Quiz

Functions: Domain and Range

Functions 1: Quiz

Functions: Inverse Functions

Functions 2: Quiz

Functions: Composite Functions

Functions: Graphs of Functions

Functions: Exponentials and Logarithmic Functions

Functions: Exponentials and Logarithmic Graph Transformations

Recurrence Relations

Recurrence Relations: Quiz

Calculus

Differentiating Functions

Differentiating Using the Chain Rule

Differentiating: Nature and Properties of Functions

Integrating Functions

Definite Integrals and Solving Differential Equations

Differentiating and Integrating Trigonometric Functions

Differentiating and Integrating: Quiz

Differentiation: Mathematic Modelling and Problem Solving

Integration: Mathematical Modelling and Problem Solving

Rates of Change: Mathematical Modelling and Problem Solving

Geometry

Straight Lines

Straight Lines: Quiz

Circles

Circles: Quiz

Vectors

Vectors: Quiz

Trigonometry

Basics: Radians and Trigonometric Ratios

Basics: Radians and Trigonometric Ratios: Quiz

Basics: Exact Values and Basic Trig Graphs

Basics: Exact Values and Basic Trig Graphs: Quiz

Trigonometric Graphs: Period, Amplitude and Graph Transformations

The Addition and Double-Angle Formulae

Solving Trigonometric Equations

The Wave Function

Answers sheet