mathematical modelling

Penguin eggs are not something you'd normally associate with maths, but they are right there on the archives of the Smith Institute, an organisation helping businesses use maths to solve their problems. Claudia Centazzo tells us about her role at the institute, selling maths to unsuspecting business people.
Why do the rich and popular get richer and more popular?
If you've ever watched a flock of birds flying at dusk, or a school of fish reacting to a predator, you'll have been amazed by their perfectly choreographed moves. Yet, complex as this behaviour may seem, it's not all that hard to model it on a computer. Lewis Dartnell presents a hands-on guide for creating your own simulations — no previous experience necessary.
A model borrowed from engineering may help save coral reefs
The risks in Who wants to be a millionaire?
Jose Munoz explains how engineering can allow you to explore the unknown, from understanding how mechanical structures bend to investigating the way genes affect the shape of embryos.
Umbrella or no umbrella? New advances in weather forecasting will help us dodge hurricanes and protect against floods.
Can maths help save lives by making more accurate predictions of future volcanic eruptions?
A mathematical understanding of what makes our hearts beat could save lives.
André Léger studies the fluid mechanics of food travelling through the intestines for consumer goods giant Unilever.