Calculus generally

Third in our series of problems on population dynamics for advanced students.

Find the relationship between the locations of points of inflection, maxima and minima of functions.

How would you sort out these integrals?

Explore the properties of this different sort of differential equation.

Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!

Consider these analogies for helping to understand key concepts in calculus.

Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

Can you find a quadratic equation which passes close to these points?

Can you sketch these difficult curves, which have uses in mathematical modelling?

Can you hit the target functions using a set of input functions and a little calculus and algebra?