Mathematics (Further)

Course summary

Further Mathematics consists of four externally examined papers. Students must take Paper 1 and Paper 2, the two mandatory Core Pure papers, and two optional papers. The optional courses we currently teach are Further Statistics and Further Mechanics. Pure Core (compulsory): • proof • complex numbers • matrices • further vectors • further algebra • series • hyperbolic functions • further calculus • polar coordinates • differential equations Statistics (optional): • probability • discrete random variables • continuous random variables • linear combinations of random variables • hypothesis tests and confidence intervals • chi-squared tests • non-parametric tests • correlation • linear regression Mechanics (optional): • dimensional analysis • work, energy and power • impulse and momentum • centre of mass • motion in a circle • further dynamics and kinematics The overarching themes below are applied, along with associated mathematical thinking and understanding across the whole of the content in the specification: 1. mathematical argument, language and proof 2. mathematical problem solving 3. mathematical modelling