Vectors, Matrices, Tensors And Quaternions

A course for the fundamental structures used in mathematics, engineering and physics.

What you'll learn
Introduction to vectors, complex numbers, phasors, matrices and quaternions and their history.
The core concepts of each of these structures, along with functions for using each one.
Aspects of vectors such as normal vectors, 2D/3D planes, and vector fields.
Multiple matrices including identity, triangular, rotation, inverse and transpose.
Methods to convert between structures which can be converted, such as a quaternion to a matrix and visa versa.
An introduction into kinematics, consisting of the big 4 functions.
Velocities both longitudinal and along a curve.
Knowledge of imaginary and complex numbers, along with their history.
Multiple co-ordinate systems, how they relate to these structures.
Calculus for vectors and matrices, including 3D surfaces.
An introduction to Maxwell's equations, these being some of the most important functions for engineering and physics.
Inertia, what it is, its basic functions, along with its matrix form and how to create an inertia matrix.
Tensors, starting with their basics, working towards functions for using them, and contra and co-variant components.

Requirements
A basic knowledge of math and functions (GCSE or equivalent).

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