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
[edit | edit source]Algebra, quadratics
Applied
[edit | edit source]Core Pure
[edit | edit source]Year 1
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
[edit | edit source]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