About this Course

This course by Imperial College London is designed to help you develop the skills you need to succeed in your A-level further maths exams. You will investigate key topic areas to gain a deeper understanding of the skills and techniques that you can apply throughout your A-level study. These skills include: Fluency – selecting and applying correct methods to answer with speed and efficiency Confidence – critically assessing mathematical methods and investigating ways to apply them Problem solving – analysing the ‘unfamiliar’ and identifying which skills and techniques you require to answer questions Constructing mathematical argument – using mathematical tools such as diagrams, graphs, logical deduction, mathematical symbols, mathematical language, construct mathematical argument and present precisely to others Deep reasoning – analysing and critiquing mathematical techniques, arguments, formulae and proofs to comprehend how they can be applied Over eight modules, you will be introduced: The determinant and inverse of a 3 x 3 matrix Mathematical induction Differentiation and integration methods and some of their applications Maclaurin series DeMoivre’s Theorem for complex numbers and their applications Polar coordinates and sketching polar curves Hyperbolic functions Your initial skillset will be extended to give a clear understanding of how background knowledge underpins the A-level further mathematics course. You’ll also, be encouraged to consider how what you know fits into the wider mathematical world.

Created by: Imperial College London

Level: Intermediate