Mathematics (Further)
Course summary
Running alongside the A-level mathematics course, students will study a range of additional pure and applied topics. The following are a selection of the pure topics that will be studied in further maths which stretch content learnt through the basic A-level: algebra and functions; calculus, vectors, proof, differential equations, trigonometry and coordinate geometry. In addition, you will become familiar with the new topics including complex numbers, polar coordinates, hyperbolic functions and matrices. The applied topics are to be taken from further mechanics, building on knowledge taught through the basic A-level; and a new area of maths called decision maths. Mechanics will include dimensional analysis, momentum and collisions; work, energy and power, circular motion, and centres of mass. Decision maths will include graph theory (not the same graphs you see at GCSE, a completely different concept), networks and network flows; linear programming, critical path analysis, binary operations and group theory.
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