## Mathematics

The links below will open PDF presentations about the various mathematical topics I've taught during my career.
They range in complexity from higher GCSE to first year of an undergraduate maths degree. For best results: download the PDF to your computer and open in full screen (e.g. press ctrl-L on Acrobat Reader). |

## Functions## Differentiation## Trig transformations & identities## Integration- First principles and standard integrals
- Constant of integration / boundary conditions
- Definite integration
- Integration by reverse chain rule
- Integration by substitution
- Integration by parts
- Area beneath a curve
- Area between two curves
- Integration with partial fractions
- Integration with trig identities
- Volume of revolution
- Mean and r.m.s. values
## Differential equations (1st order)## Partial differentiation## Kinematics with vectors |
## Sine, cosine, tangent equations and more## Solving triangles & sectors## Sequences and Series## Numerical solution of equations## Numerical integration## Matrices and linear systems## Vectors in 2D and 3D## Parametric equations## Polar equations and graphs## Complex numbers |