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
Correction 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
1 view
905
333
5 months ago 00:03:54 1
Limbus Company - Through Patches of Violet
5 months ago 00:17:57 1
How to sew cloth bags at home / Tote bag easy sewing tutorial / Shopping bag cutting and stitching
5 months ago 00:00:41 1
We need to cook meat, Jesse.
5 months ago 00:17:26 1
Researchers thought this was a bug (Borwein integrals)