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A2/A-level Mathematics: Further Calculus

Further Calculus

September 12, 2022

In A2/A-Level Mathematics, we will discuss Further Calculus.

Differentiation Methods

Solving problems involving Implicit functions

eg in the form

Solving problems involving parametric equations, eg in the form

Integration Methods

Expressing functions as partial fractions in order to integrate them

eg

Representing trig functions using C4 trig identities, in order to integrate them

eg

Formulating and solving differential equations to find general and particular solutions, by separation of variables and then integration.

Applications of differential equations, involving Growth and Decay functions, whereby differential equations are of the form:

That's the end of the topic in A2/A-Level Mathematics.