Who is the course for? If you are aiming to study a highly quantitative degree at a top university, or if you just love the beauty and elegance of mathematics and want to study lots of different aspects of it, then the Mathematics/Further Mathematics ‘double’ is the course for you. Students who select and successfully complete AS Further Mathematics will have the opportunity to progress to A Level Further Mathematics. What you’ll learn: Volumes of a Revolutions , Proof By Inductions ,Vectors ,Matrices, Different Coordinate Systems and Complex Numbers. Throughout the course you will be practising solving problems of increasing difficulty, applying the theory you have covered, developing your skills as a confident and independent mathematical thinker. What subjects this goes well with: Mathematics, Physics, Economics, Chemistry, Biology and Computer Science How you’ll learn: Classroom based learning What you can do next Some of the most interesting and well-paid careers revolve around Further Maths. Careers in finance, medicine, engineering, and business are all open to people with a background in Mathematics, as are careers in technology — Further Maths being at the very core of all new technological developments. How to prepare for this course There are many things asked at GCSE that are never asked at A Level, but the one thing that will appear time and again is algebra. Here is a more specific breakdown of the topics you NEED to focus on: • Rearranging equations with complete confidence. It doesn’t matter where x is in the equation, you need to be able to find it! • Revise absolutely everything you know about quadratic equations: All of the methods of solving them, how to sketch them, how to complete the square and how to find their maximum or minimum point. • Simultaneous equations. In A Level, instead of being explicitly asked to solve a set of simultaneous equations, you are usually given some kind of context and after having done some preliminary work (don’t worry about what this entails right now), you will end up with two simultaneous equations to solve. You don’t want to have done all the hard work and then be caught out on the algebra at the end! • Indices. Know all of the laws of indices like the back of your hand. · • Surds. Surds get revisited at the start of AS Level, and it’s only a slight step up from GCSE, which means you need to have a very solid grounding in the stuff you’ve already learnt about them! • Sketching graphs. This is huge in A Level. Tables of values have gone out the window and it’s much more about using important points of graphs (such as their intersections with the coordinates axes) to give rough sketches of them. Make sure you can sketch linear graphs and quadratic graphs.