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 â€“ selecting and applying correct methods to answer with speed and efficiency
- Confidence â€“ critically assessing mathematical methods and investigating ways to apply them
- Problem solving â€“ analysing the â€˜unfamiliarâ€™ and identifying which skills and techniques you require to answer questions
- Constructing mathematical argument â€“ using mathematical tools such as diagrams, graphs, logical deduction, mathematical symbols, mathematical language, construct mathematical argument and present precisely to others
- Deep reasoning â€“ 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
- DeMoivreâ€™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. Youâ€™ll also, be encouraged to consider how what you know fits into the wider mathematical world.