Mathematics (Further)

Course summary

The content of Further Maths extends the underpinning mathematical concepts, including imaginary numbers (you can square root a negative!), function terminology and manipulation, proving identities and theorems using logical approaches, simultaneous equations in 3D, matrix manipulation, graph transformations, polar coordinates and differential equations. These create ways to model the world around us and to analyse situations that arise. The group will then choose two from the three areas of application of Maths: Mechanics – building on the A-level specification, considering springs, circular motion, bouncing balls in collision, centres of mass. Statistics – probability distributions for discrete and continuous measures, and their use beyond mathematics. Discrete (or Decision) – networks and network flows, algorithms (the underpinning methods of computing), linear programming, critical path analysis, game theory, binary operations and group theory.