A-Level Further Mathematics for Year 12 – Course 2: 3 x 3 Matrices, Mathematical Induction, Calculus Methods and Applications, Maclaurin Series, Complex Numbers and Polar Coordinates

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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.