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ImperialX: A-level Further Mathematics for Year 12 - Course 1: Complex Numbers, Matrices, Roots of Polynomial Equations and Vectors
Develop your thinking skills, fluency and confidence in A-level further maths and prepare for undergraduate STEM degrees.
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This Course Includes
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7 weeks at 2-4 hours per week
english
Online - Self Paced
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ImperialX
About ImperialX: A-level Further Mathematics for Year 12 - Course 1: Complex Numbers, Matrices, Roots of Polynomial Equations and Vectors
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:
Over eight modules, you will be introduced to
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.
What You Will Learn?
- How to extend the number system to include and the definition of a complex number..
- How to add, subtract, multiply and divide complex numbers..
- How to represent complex numbers on an Argand diagram and the modulus and argument of a complex number..
- How to write complex numbers in modulus-argument form..
- How to define loci in the complex plane..
- How to define a matrix by its order..
- How to add and subtract conformable matrices..
- How to multiply two conformable matrices..
- How to use matrices to define linear transformations..
- How to find invariant lines and lines of invariant points..
- How to find the determinant and inverse of a 2 x 2 and 3 x 3 matrix..
- How to use matrices to solve systems of linear equations..
- How to use standard series formulae to find the sums of other series..
- How to separate algebraic fractions into partial fractions..
- How to use the method of differences to find the sum of a series..
- How to find the scalar (dot) product of two vectors..
- How to define the equation of a line using vectors..
- How to define a plane using vectors..
- How to use vectors to solve problems involving lines and planes..