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 Applied 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