calculus

Curious about calculus? This accessible introduction is for you!

Find out about the beautifully intuitive concept that lies at the heart of calculus.

Calculus has long been key to describing the world. Now fractional calculus is providing new ways of describing complex systems.

Calculus has long been key to describing the world. Now fractional calculus is providing new ways of describing complex systems.

Many processes, including climate change and the spread of COVID-19, involve a delay. Here's a beautiful equation designed to model such processes.

Change is the only constant in our lives — which is why differential equations are so useful.

The powers of x can work magic.

Asking good questions is an important part of doing maths. But what makes a good question?

What's the integral of xk? If you're up to speed with your calculus, you can probably rattle the answer off by heart. But can you prove it? Chris Sangwin introduces an ingenious method for deriving the integral from first principles.
Coming to think of it, is the standard formula for the integral of xk really the best one? Chris Sangwin makes an interesting case that it is not.
Getting the most from the air

Plus 1000 — Mathematical lives

  • Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.

  • As COP28, the 2023 United Nations Climate Change Conference, kicks off we look at how maths can help understand the climate crisis.

  • How do you create dramatic film out of mathematics? We find out with writer and director Timothy Lanzone.

  • Mathematics plays a central role in understanding how infectious diseases spread. This collection of articles looks at some basic concepts in epidemiology to help you understand this fascinating and important field, and set you up for further study.

  • Find out why the formula we use to work out conditional probabilities is true!

  • We talk about a play that explores the fascinating mathematical collaboration between the mathematicians GH Hardy and Srinivasa Ramanujan.