Videos

We believe the key difference between a good mathematician and a great mathematician is visualisation. Being able to see the problem in your head and witness what the mathematics is doing is fundamental to improving your problem solving ability. Our brilliant animations will help you to visualise problems and understand how solutions are formed. Click on a playlist below to get started!

Featured Video:

Why the Circle is wrong … kind of

Astounding! The circle as we know it is wrong? The Ghost Substitution (commonly known as the Weierstrass or Half-Angle Tangent Substitution) is one of the 'sneakiest substitutions' in mathematics. The Ghost Substitution utilizes a very clever and useful property about trigonometric functions which allows us to solve complex calculus related problems.

In this video, we visually explain how we can intuitively define the circle using the Ghost Substitution and how we can use the substitution in Integration - perhaps it's most important use!

 

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