Divergence and curl: The language of Maxwell’s equations, fluid flow, and more

Visualizing two core operations in calculus. (Small error correction below) Help fund future projects: An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: My work on this topic at Khan Academy: Timestamps 0:00 - Vector fields 2:15 - What is divergence 4:31 - What is curl 5:47 - Maxwell’s equations 7:36 - Dynamic systems 10:37 - Explaining the notation 13:28 - No more sponsor messages Error: At 4:55, the narration should say “counterclockwise rotation gives positive curl, clockwise rotation gives negative curl“. The diagram is correct, though. For more fun fluid-flow illustrations, which heavily influenced how I animated this video, I think you’ll really enjoy this site: Music by Vin