# C4 Tutorials – MEI A Level Maths

## Rational Expressions

## Rational Expressions

- Simplifying algebraic fractions
- Exam Questions - Simplifying a rational expression
- Addition and subtraction of algebraic fractions
- Exam Questions - Addition & subtraction
- Multiplication of algebraic fractions
- Further simplifying of 'stacked fractions'
- Division of algebraic fractions
- Exam Questions - Algebraic long division

## Sequences and Series

## Trigonometry

## Trigonometric Equations

## Trigonometric Identities

## Sec θ, Cosec θ and Cot θ

## Inverse trigonometric functions

## Identities & Equations – Pythagorean Type

## Identities – Addition type

## Identities & Equations – Double angle type

## Identities – Half angle type

## Identities – Triple angle type

## Identities – Factor Formulae

## Identities & Equations – Harmonic Formulae

## Small-angle Approximations

## Exam Questions – Mixed trigonometry

## Coordinate Geometry

## Parametric Equations

## Differentiation

## Integration

## Integration – Common Functions

## Integrals of Trigonometric Functions

## Integrals involving Partial fractions

## Integrating Products of the form f[g(x)]g'(x) by inspection

## Mixed Examples & Exam Question – Integration

## Applications of Integration – Area bound by a curve

## Applications of Integration – Volumes of revolution

- Volume of revolution about the x-axis
- Exam Questions - Volume of revolution about the x-axis
- Volume of revolution about the x-axis generated between curves
- Volume of Revolution about the y-axis
- Exam Questions - Volume of Revolution about the y-axis
- Volume of Revolution about the y-axis generated between curves