Fool Proof Mathematics

A level Mathematics and Further Mathematics course designed with a proof-based emphasis to understanding as well as incorporating additional content to prepare the student for a degree in the field.

Pure
Algebra, quadratics

Core Pure
Year 1

Complex numbers

Argand diagrams

Series

Polynomials

Volumes of revolution

Matrices

Linear transformations

Proof by induction

Vectors

Year 2

Complex numbers

Series

Calculus

Volumes of revolution

Polar coordinates

Hyperbolic functions

Differential equations

Further Pure I and II
Book 1:

Vectors

Conic sections

Inequalities

t-formula

Taylor series

Calculus

Numerical methods

Differential equations

Book II:

Number theory

Groups

Complex numbers

Recurrence relations

Matrix algebra

Integration techniques