Maths lecture notes

Here are my mathematics course notes as of July 2018.  You are free to use these for self-study.  You may not use these for commercial purposes.

Basic algebra

Straight lines and graphs

Quadratic equations and graphs

Circle geometry

Trigonometric equations and identities

Solving triangles

Polynomial division.  Factor and remainder theorem

Functions

Differentiation

Sequences and series

Differentiation applications

Vectors

Matrices

Integration

Integration applications

Numerical solution of equations

Numerical integration

Parametric equations

Differential equations

Partial differentiation

Kinematics

Polar equations and geometry

Complex numbers