Mathematics (Further)

Course summary

WHY STUDY THIS COURSE? Many universities consider mathematics to be one of the most valuable A-levels. It is a pre-requisite for some of the following courses; Physics, Accountancy, Mathematics and Statistics. If you are considering a career in the area of mathematics, Further Mathematics at A-level would certainly be advantageous. You will have the opportunity to develop decision making and problem-solving skills, transferable to any career path you choose. Further Mathematics qualifications are highly regarded by universities. Students who take Further Mathematics are demonstrating a strong desire for their mathematics studies, as well as learning mathematics that is very useful for any mathematically rich degree. Some of the skills you will learn; · Construct rigorous mathematical arguments · Assess the validity of mathematical arguments and explain your reasoning · Translate problems in mathematical and non-mathematical contexts into mathematical processes · Translate situations in context into mathematical models, evaluate the outcomes of modelling in context, recognise the limitations of models and, where appropriate, explain how to refine them. A-Level Further Mathematics: Paper 1 and 2 Core Mathematics Topics include; Complex Numbers, Series, Roots of Polynomials, Volumes of Revolution, Matrices, Linear Transformations, Proof by Induction, Vectors, Methods in Calculus, Polar Coordinates, Hyperbolic Functions, Methods in Differential Equations and Modelling with Differential Equations Paper 3 and 4 Further Pure Mathematics Topics include; Inequalities, Vectors, Conic Sections, Taylor Series, Methods in Calculus, Numerical Methods, Reducible Differential Equations, Number Theory, Groups, Recurrence Relations, Matrix Algebra and Integration Techniques