Calculus generally

problem
Population dynamics - part 3

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

How would you sort out these integrals?
problem
A different differential equation

Age

16 to 18

Challenge level

Explore the properties of this different sort of differential equation.
problem
Interactive workout - Mathmo

Age

16 to 18

Challenge level

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!
problem
Calculus analogies

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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