Further Mathematics

Roots and coefficients, series, matrices, polar coordinates, vectors and proof.

• Roots of polynomial equations
• Rational functions and graphs
• Summation of series
• Matrices
• Polar coordinates
• Vectors
• Proof by induction

Open Paper 1

Hyperbolic functions, matrices, further calculus, complex numbers and differential equations.

• Hyperbolic functions
• Matrices
• Differentiation
• Integration
• Complex numbers
• Differential equations

Open Paper 2

Projectiles, rigid bodies, circular motion, Hooke's law, variable forces and momentum.

• Motion of a projectile
• Equilibrium of a rigid body
• Circular motion
• Hooke's law
• Linear motion under a variable force
• Momentum

Open Paper 3

Continuous random variables, inference, hypothesis tests and generating functions.

• Continuous random variables
• Inference using normal and t-distributions
• Chi-squared tests
• Non-parametric tests
• Probability generating functions

Open Paper 4