How do you integrate with a computer? Let's start with an example. Suppose a car travels only in the x-direction. It starts at x = 0 m with a velocity of 0 m/s. If the car has a constant acceleration ...

This is probably the last of three articles on how piecewise-linear functions could be used as a helpful on-ramp to the big ideas in calculus. In the first article, we saw how it’s possible to develop ...

Just how fast can the fastest human run? This adapted book excerpt from Infinite Powers reveals how calculus helps us investigate the nature of motion and change. “Art,” said Pablo Picasso, “is a lie ...

Machines are getting better at maths – artificial intelligence has learned to solve university-level calculus problems in seconds. François Charton and Guillaume Lample at Facebook AI Research trained ...