Mathematics (Further)

Course summary

This course results in two A Levels in Mathematics. Pupils studying Mathematics and Further Mathematics study A Level Mathematics in Year 12 and A Level Further Mathematics in Year 13. However, they sit the examinations for both qualifications at the end of Year 13. Course Contents for Further Mathematics Pure (50% of the course) • Proof • Complex numbers • Matrices • Further algebra and functions • Further Calculus • Further vectors • Polar coordinates • Hyperbolic functions • Differential equations • Trigonometry • Numerical methods Mechanics (25% of the course) • Momentum and impulse • Work, energy and power • Elastic strings and springs and elastic energy • Elastic collisions in one dimension • Elastic collisions in two dimensions Statistics (25% of the course) • Discrete probability distributions • Poisson distribution • Geometric and negative binomial distributions • Hypothesis testing • Central limit theorem • Chi tests for association • Probability density functions • Quality of tests -Type I and Type II errors Overarching Themes: Throughout the course students must demonstrate three overarching themes. • Mathematical argument, language and proof • Mathematical problem solving • Mathematical modelling Students must be able to demonstrate their understanding of the above themes and apply them across the whole of the detailed pure, mechanical and statistical content