3d curl intuition, part 1

Here we start transitioning from the understanding of two-dimensional curl into an understanding of three-dimensional curl.

[jlpsinde]

This is heaven on Earth for someone like me that learned this 24 years ago and just now understand!

[SimeonRadivoev]

You did 3x^2 + 3y^2 instead of 3x^2 - 3y^2 down there

[ConceptualCalculus]

I love this entire series of vids. The intuition around divergence and curl is great.


There is one sign error in this vid, though. It is at about 4:24. You have 3x^2 + 3y^2 where you should have 3x^2 - 3y^2. It stays on the screen for the rest of the vid without being corrected, but when you use that quantity later you put the correct sign in it.

[anonymoustraveller]

I think i found out my goldmine, when i found your videos.

[Jcsomethin]

Yeah should be MINUS 3y^2.. kinda bummed I wasn't the first to point it out lol

[borg]

What software is used to create those animations/models?

[poiuwnwang]

super! My EM prof. did not give this insight when I learned it

[TryhardGenos]

Why do we describe the fluid rotation in z axis. Since its 2d how does the z component exists or is created

[Z-eng]

You're the complete opposite of schools and colleges, you *TRUELY* show the fun and excitement of the journey of knowledge, while schools and colleges completely massacre it

[VladTepesh]

My mind is stuck at + 3y^2. It's gotta be fixed before proceeding.

[TheHumanHades]

You explain very very well. Maybe a YT channel 3blue1brown named after your eyes will suit you 😛

[Adamjones]

can you make intuition of why the divergence of curl of any vector field is equal to zero ?

[ynnx]

The question that will never be answered: did grant use khan academy's or his own software

[Saptarshi.Sarkar]

Can you tell why the Curl of central forces is 0?