Visualising and representing

Make a functional window display which will both satisfy the manager and make sense to the shoppers

Explore the properties of these two fascinating functions using trigonometry as a guide.

Explore the hyperbolic functions sinh and cosh using what you know about the exponential function.

This problem asks you to use your curve sketching knowledge to find all the solutions to an equation.

Discover how networks can be used to prove Euler's Polyhedron formula.

The famous film star Birkhoff Maclane wants to reach her refreshing drink. Should she run around the pool or swim across?

Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.

Can you find the link between these beautiful circle patterns and Farey Sequences?

Can you make a curve to match my friend's requirements?

Can you work out what simple structures have been dressed up in these advanced mathematical representations?