Mathematics (Further)

Course summary

The single A-level Further Mathematics course consists of a mixture of Pure and Applied elements. Certain further pure mathematics topics are compulsory. However, students must also study two out of a selection of additional pure and applied topics (made up of Statistics, Mechanics and Decision Mathematics). The decision on which two topics will be made in conjunction with the class at an appropriate time during their studies. The new A-level contains a problem-solving element and students will be expected to apply the content they learn to harder more unfamiliar situations. Further Mathematics is taught through two main subject areas: Further Pure Mathematics Pure Core Mathematics 1 - Proof, series, complex numbers, argand diagrams, matrices, roots of polynomials linear transformations, vectors, volumes of revolution. Pure Core Mathematics 2 - Complex numbers, series, methods in calculus, volumes of revolution, polar co-ordinates, hyperbolic functions, methods in differential equations, modeling with differential equations. Further Applied Mathematics Further Pure Mathematics 1 – vectors, conic sections, inequalities, the t-formula, Taylor series, methods in calculus, numerical methods, reducible differential equations. Further Mechanics 1 – momentum and impulse, work energy and power, elastic strings and springs, elastic collisions.