Further Maths

Course summary

If students really enjoy Mathematics and are successful at it, then Further Mathematics may be for them. It extends the A Level Mathematics content and can involve an extra application, Decision Mathematics, that looks at how to decide on the best approach to solve problems. In addition to the A level Maths content, students will study: Further Pure Mathematics - Proof; Complex numbers; Matrices; Further algebra and functions; Further calculus; Further vectors; Polar coordinates; Hyperbolic functions; Differential equations. There is then a choice between more Pure Maths, Mechanics, Statistics or Decision. Some of the content covered in the different areas is shown below. • Decision Mathematics - Algorithms and graph theory; Algorithms on graphs; Algorithms on graphs II; Critical path analysis; Linear programming. • Mechanics - Momentum and impulse; Collisions; Centres of mass; Work and energy; Elastic strings and springs. • Probability and Statistics - Linear regression; Statistical distributions (discrete); Statistical distributions (continuous); Correlation; Hypothesis testing; Chi squared tests.