The Divergence Theorem

Green's Theorem gave us a way to calculate a line integral around a closed curve. Similarly, we have a way to calculate a surface integral for a closed surface. That's the Divergence Theorem. This is also known as Gauss's Theorem, and it's pretty neat, so let's learn it!

Script by Howard Whittle

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[stephend.]

I finished watching all 165 of your math videos and would like to thank you for preparing them.

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I like how this series went from something that would look like a kids channel to the most complicated math in the existence of anything

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exam is today what a blessing you are sir

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[shaheenbean]

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[kchrome]

Finally, I finished the complete mathematics playlist over the course of around 3 weeks. Thank you Professor Dave! you are an absolute inspiration!

[victornnaji]

Haha clutch timing we literally just covered this in class today

[SEGAClownboss]

It's been forever since I've practiced any math and the last time we ever had it was in high school. We didn't learn calculus. In university I had an attempted introduction at linear algebra and I didn't understand a word from my professor. I bailed math and decided not to return until I felt ready. Now it's 13 years later and I found this series. In over about 2 months, I have watched all 165 videos, done every single end-of-video test, and if one solution was incorrect, I would redo it again while carefully watching instructions or reading about the required methods in the comments. I finished this last one and now I can finally say I've gotten such a greater grasp and appreciation of math than I ever could have imagined. If this series should continue and encompass more of university-level math, I would be very thrilled for it. Thank you David, your knowledge changed my life.

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I have a multivariable calculus exam on Tuesday, these videoes have been lifesavers! thank you so much :)

[TheDreRock]

Always wanted to start over and try to learn “all” math from the beginning. Going to come back here once I finish learning all math and see how much more I understand. I have adhd and no incentive other than on-and-off curiosity, so let’s see how many years/decades this takes

[mouizeddinekisma]

Thanks prof, very simple and straight to the point

[RCSmiths]

I'm only 18, but ideas of math and science like this are always up my alley. Your ways of teaching have really helped me. Cheers

[subscribetopewdiepie]

Please do a video on statics.
Keep up the good work.

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[emanomairey]

Hi, very clear and nice explaination. Can you please show how would the comprehensive example look like if plotted?

[kernelkorp]

I can't believe my professor wasted 1 week on this 6 min topic. Thanks

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You are so well rounded. It wasn't long ago since I watched your entire playlist on evolution!!