CAIE: AS & A Level Further Mathematics (9231) Further Pure Mathematics 1 (for Paper 1) 1.1 Roots of Polynomial Equations 1.2 Rational functions and graphs 1.3 Summation of series 1.4 Matrices 1.5 Polar coordinates 1.6 Vectors 1.7 Proof by induction 1.8 Integration 1.8 Integration Further Pure Mathematics 2 (for Paper 2) 2.1 Hyberbolic functions 2.2 Matrices 2.3 Differentiation 2.4 Integratio 2.5 Complex number 2.6 Differential equations Further Mechanics (for Paper 3) 3.1 Motion of a projectile 3.2 Equilibrium of a rigid body 3.3 Circular motion 3.4 Hooke’s law 3.5 Linear motion under a variable force 3.6 Momentum Further Probability & Statistics (for Paper 4) 4.1 Continuous random variables 4.2 Inference using normal and t-distributions 4.3 Chi - Square tests 4.4 Non-parametric tests 4.5 Probability generating functions