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Defintions

Rationalising the denominator means rewriting a fraction so that the bottom only contains rational numbers.

Remember: A rational number is one that can be ...

A frequent question the comes up in the early parts of core maths is; how would you sketch the graph of a function f(x)?

Sketching just means that you would have to find some key points o...

Volumes of revolution are contructed by a fuction of x, y=f(x), rotated 360 degrees, or 2pi radians around the x asxis. For example, a function of y=2 would create a cylinder of radius 2 in its ...

First of all let's think about what this really means:

Homogeneous means that all term in the differential equation contain the dependent variable(in most cases y). The dependent variable...

If we have a function f(x), taking its derivative would obtain a new function f'(x). However, now this second function f'(x) defines the tangent along any point on the original graph of f(x). This is u...