All four papers of Cambridge AS & A Level Further Mathematics 9231, section by section. AS takes Further Pure 1 with Further Mechanics or Further Statistics; A Level takes all four. Lessons built around worked examples are arriving section by section, starting with roots of polynomial equations.
The compulsory paper for every route: roots of polynomials, rational functions and their graphs, summing series, matrices, polar coordinates, vectors and proof by induction.
Projectiles, rigid bodies in equilibrium, circular motion, Hooke's law, motion under a variable force and oblique collisions.
Continuous random variables, inference with normal and t-distributions, chi-squared tests, non-parametric tests and probability generating functions.
The second pure paper, A Level only: hyperbolic functions, eigenvalues, further differentiation and integration, complex numbers and second-order differential equations.
Further Maths assumes AS & A Level Mathematics 9709: Further Pure 2 builds on Pure 3, Further Mechanics on Paper 4, and Further Statistics on Papers 5 and 6.
Maths olympiad practice: feeder, national and international problems with hints, a timed drill, dates and how to apply.