Mathematics (Further)

Course summary

For those students with a true love of Mathematics we can offer Further Mathematics. We aim to stretch students in their use their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts, and communicate the mathematical rationale for these decisions clearly. Both AS and A level Further Mathematics have a 50:50 split between compulsory and optional elements. The A level Further Mathematics course has been split into four units, Further Pure 1, Further Pure 2 and two options from either Further Pure, Further Statistics, Further Mechanics or Decision Maths. Further Pure 1 is designed to be covered in the first year of A-level and also forms the content of the AS course, with one option to be taken at AS. A brief outline of each unit is given below: Further Pure 1: Proof, Complex numbers, Matrices, Further algebra and functions, Further calculus, Further vectors. Further Pure 2: Complex numbers, Further algebra and functions, Further calculus, Polar coordinates, Hyperbolic functions, Differential equations. Optional units Further Pure 3: Further calculus, Further differential equations, Coordinate systems, Further vectors, Further numerical methods, Inequalities Further Statistics 1: Linear regression, Statistical distributions (discrete), Statistical distributions (continuous), Correlation, Hypothesis testing, Chi squared tests. Further Mechanics 1: Momentum and impulse, Collisions, Centres of mass, Work and energy, Elastic strings and springs. Decision Mathematics 1: Algorithms and graph theory, Algorithms on graphs, Algorithms on graphs II, Critical path analysis, Linear programming.