A-level Further Mathematics for Year 12 - Course 1: Complex Numbers, Matrices, Roots of Polynomial Equations and Vectors

Highlights

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 to

• complex numbers, their modulus and argument and how they can be represented diagrammatically
• matrices, their order, determinant and inverse and their application to linear transformation
• roots of polynomial equations and their relationship to coefficients
• series, partial fractions and the method of differences
• vectors, their scalar produce and how they can be used to define straight lines and planes in 2 and 3 dimensions.

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.