Complex numbers

Hyperbolic functions

Polar coordinates

Further algebra and functions (series)

Further calculus

Differential equations

Core Pure 2 is assessed in a 90 minute exam at the end of Y13, ,worth 25% of the A level.

- Spiritual
- Moral
- Social
- Cultural

• Momentum as a vector (i, j problems)

• Impulse-momentum principle in vector form

• Hooke’s law and definition of modulus of elasticity. Derivation of elastic potential energy formula.

• Problem solving: equilibrium and using the work-energy principle

• Oblique impact of a smooth sphere with a fixed surface Successive oblique impacts of a sphere with smooth plane surfaces

• Oblique impact of two smooth spheres of equal radius

Each topic is assessed through a 50 minute internal test. Assessment of Further Mechanics 1 is through a 90 minute exam at the end of the course, contributing 25% of the Further Mathematics A level.

- Spiritual
- Moral
- Social
- Cultural

• The geometric distribution, its mean and variance

• The negative binomial distribution, its mean and variance

• Hypothesis test for the parameter p of a geometric distribution

• Applications of the Central Limit Theorem

• Chi squared tests

• Definitions, derivations, applications and use to find the mean and variance

• Use of the probability generating function for the negative binomial, geometric, binomial and Poisson distributions

• Probability generating function of the sum of independent random variables

• Type I and Type II errors

• The size and power of a test

• The power function

Assessment takes place though 50 minute internal topic tests.

Further Statistics 1 is assessed through a 90 minute exam at the end of Y13, contributing 25% towards the Further Maths A level.

- Spiritual
- Moral
- Social
- Cultural

- Spiritual
- Moral
- Social
- Cultural