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
1145
404
2 months ago 00:04:17 4
Vallmo — Othem (OFFICIAL MUSIC VIDEO)
2 months ago 00:09:17 1
Endless Days Of October | Slow Life in English Countryside
2 months ago 00:04:38 1
CHENA - PRISONER OF CONFORMITY (Official Music Video)
2 months ago 00:00:29 1
Upgrade LED headlight for Lexus ES 2018
2 months ago 01:19:26 1
C. G. Jung - Povedený kacíř (Dokumentární film, 2020)
2 months ago 00:16:19 1
Lotus Eletre (2024) - interior and Exterior Details (Luxury Electric SUV)
2 months ago 00:00:55 1
Fallout: London - 1 Million Announcement
2 months ago 00:13:55 1
Saudi Arabia and Qatar after Trump’s Sword Dance
2 months ago 00:07:11 1
Belisarius - Epic Byzantine Music
2 months ago 00:04:01 21
наш Black Metal трек из 2008 года \ Kingdom Black
2 months ago 00:10:51 2
Fallout: London - Official Patch Announcement
2 months ago 00:00:43 1
In #Israeli #Footage of #Hamas #Leader’s #Final #Moments, #Reactions #Diverge: #Defeat or #Defiance?
2 months ago 00:02:43 6
Armin van Buuren & Goodboys - Forever (Stay Like This) [Official Video]
2 months ago 00:01:18 1
the clock is ticking [multifandom] (c/w Pteryx)
2 months ago 01:22:29 1
China at 75, Panel 5: Hybrid War on China
2 months ago 00:15:25 1
97% of pop is in 4/4... let’s look at the 3% that’s not
2 months ago 00:08:48 1
China and the US: Divergent Approaches to Diplomacy & Global Security () China at 75, Panel 5
2 months ago 00:04:00 1
Powers Unveiled - Life is Strange: Double Exposure (ESRB)
2 months ago 00:01:59 1
Matthew 21:31
3 months ago 00:12:01 1
Every Trading Strategy Explained in 12 Minutes
3 months ago 00:03:14 1
Nightcore - Last Time (Lyrics)
3 months ago 00:09:10 1
Turkey’s Decision Shook NATO and the US: What’s Next?