3D divergence theorem intuition | Divergence theorem | Multivariable Calculus | Khan Academy

[@rktiwa]

Today is teacher's day in India. You are the one teacher who has shaped the future of the world to the extent that we only wish we could have a formula to measure. Did you ever think about it? I thank you for all that you have taught me since nearly a decade.

[@Captain_Rhodes]

what is the order of these lectures??? he keeps referring to other ones but they are not numbered!

[@mariumali4852]

sal khan is a saviour. May good bless him with a long, healthy, happy life so that he can continuo gracing us with his knowledge.

[@HoussamRachdi]

I wish that I had I professor like You !

[@Martin-iw1ll]

The physical interpretation of divergence is best gleamed from the continuity equation in terms of the material derivative of rho

[@jmm00702]

i got an exam tomorrow about all this that u have been uploading the last few days, i feel so lucky lol, its like you uploaded them right on time for me. These theorems pretty hard to understand but your videos make it much easier, they help me loads, thanks.

[@abhinavmishra748]

How's life going buddy after 11 years?

[@grovestreet9165]

i didn't even watch your previous videos spends 3 lectures in collagenothing happens but sir you made this clear to me thanks

[@citrus459]

I totally understand some of these words.

[@sangeeta94ish]

THIS IS SO BEAUTIFUL THANK YOU SO MUCHHHH

[@danidino1645]

Thank you so much. I've been watching your videos for year and you have always succeeded in making me understand the subject clearly. Your voice is also soothing, so listening to your videos makes me feel calm instead of impatient. And now I was in the middle of watching your video because I was stuck on a question (Physics Bachelor) when all of a sudden I realited that I used a 1D integral instead of 2 for the flux accross the surface. I've successfully completed the question. Thanx a lot!!!

[@6kurkawodna6]

I can't thank you enough for this (and all of your other videos that have helped my countless times)

[@vishal_on_yt]

Great Explanation

[@forrest3797]

An amazing gift to students ! Love you kind sir !

[@majormaki1495]

Thanks Sal. You're awesome!

[@Bl1tzkr13g]

thank you for these explanations :)

[@1ucasvb]

"Right over harrrr." Your pirate is showing, Salman. :P

[@AjayPatel-te4kb]

Tq so much sir🙏

[@Mr1989a1989]

thanks so much, its simple now

[@mohammadabdulkhalid5245]

I request khan academy to please explain vector potential..

[@pat9013]

Very helpful, thank you.

[@yli5531]

5:00 what do you mean by "regions that bend back on themselves"?

[@McPhysX]

a möbius strip for example

[@Ferrus91]

You know, I am kind of sensing fourier series are next after this.

[@tahiarahman3016]

thank u so much sir for the excellent video

[@noumannasir6044]

nicely elaborated (Y)

[@i_amsonofvarghese]

Awesome..

[@TheBetterRyanKelly]

He has videos on 2D divergence....

[@eduardomuller9973]

I don't understand the first equation: Why the integral of (F . n) along the curve is the double integral of the divergence of F? Is something like Green's Theorem?

[@Kram1032]

None yet, afaik.

[@subs367]

I wish you wouldn't assume previous knowledge. Your videos are very good and helpful but if you just approached everything from the basics (I know its more difficult and more time consuming) then this would be even more helpful. E.g. don't assume we know what 2D divergence is..

[@TheThinker8878]

Nice love the video! :)

[@Clipster15]

I believe it's simply the divergence theorem reduced to two dimensions.

[@eswyatt]

That should be ds not dr!

[@estefalo]

i cant see any of your vedeos, i can hear everything but there is no image, it only happens with yours.

[@maheshtom9003]

line integral = curl...not divergence

[@KevinS47]

isn't curl = DEL X F ? (where F is the vector field, and DEL is the divergence) its not an integral, its a cross product right?

[@vtron9832]

Why are Vector Mathematicians so obsessed with putting vector fields on surfaces?!

[@k.manjericao1583]

to refer about 2D field effect. What do you propose?

[@MTechOver9000]

Because these phenomena have real world applications to physics problems