All students study the same core mathematical content for Further Mathematics, which makes up 50% of the content for A level and 30% for AS level. There is some choice over the remaining content of each course which might include further study of pure mathematics, statistics, mechanics or other areas of mathematics.
At AS, topic areas studied include complex numbers, which allow the solution of a range of equations that would otherwise have no solutions, through the introduction of ‘imaginary’ numbers, and matrices which consist of grids of numbers that can be used to represent transformations and are used to solve simultaneous equations amongst many other uses.
At A level, other areas of pure mathematics are covered such as polar co-ordinates, differential equations and hyperbolic functions. Each of these builds on earlier topics and encourages the development of a wider understanding of the ways in which mathematical topics are interconnected.