# The Beauty of Mathematics

## Areas

Area of a Trapezoid TrapeziumSurface Area of a Sphere

Area of a Triangle

## Volume

Volume of SphereVolume of Sphere Derivation Proof

Volume of Cone Derivation Proof

Volume of Prism

Volume of a Cone

## Trigonometry

Sine RuleCosine Rule Proof

Trigonometry

Cosine Rule

## Quadratic Equation

Quadratic Formula DerivationQuadratic Equation Derivation Proof Hindu Method

The Quadratic Equation

## Simultaneous Equations

Simultaneous EquationsSimultaneous Equation Solver

## Geometry

The Pythagoras TheoremTriangle Inscribed in a Semicircle

3.1415 PI

## Mathematical Puzzles

Tupper's Self-Referential Formula ExplainedHarry Potter and the Hall of 100 doors

## Calculus

Integration BasicsIntegration Formula Sheet

Integration by Parts

Differentiation

## Expansion Series

Maclaurin SeriesIt is about those moments... the beauty of mathematics in engineering technology. I will start with the basics and work up to the complex stuff if anyone is interested...

I dedicate the maths section of this site to Mr Smith, my maths teacher for AS level Maths at Carshalton College in the late 80s. He was a fantastic teacher, and never before or since did I find a teacher that was as good as he was.

It was thanks to him that I passed with a Grade A. This was back in the prehistoric times when there was no coursework, and you had to sit for three exam papers. The third paper was three hours long, and no bathroom breaks!