Professor Leonard

Professor Leonard is a maths teaching channel. It is made by a lecturer known as Professor Leonard, who films his own classroom-style lessons and shares them for free.

The videos are full lectures rather than short clips. Many run for 40 minutes or more, with every step worked on the board. They are organised into playlists that follow American college courses, including precalculus, calculus, statistics and differential equations. The style is calm and thorough, with lots of worked examples. The material lines up closely with A level Maths and Further Maths, and with first year university maths.

Some highlights include:

This lecture explains how to find the domain of a function, a skill that comes up again and again in calculus.

This one introduces graph transformations, showing how shifting, stretching and reflecting a function changes its graph.

This lecture is an introduction to polynomial functions and how their shape relates to their equation.

The channel has over 1.2 million subscribers.

Maths is the language of every branch of engineering. Students who want to study engineering at university, or take a degree apprenticeship, will need confident algebra and calculus. Professor Leonard is a useful place to revisit a topic that did not click in class, or to get ahead before starting a course. The differential equations playlist is especially useful for future mechanical and electrical engineers. Because each lecture is long, it works best watched in sections with a notebook open, pausing to try the examples.