Multivariable Calculus | Two surface integrals over vector fields.

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  1. Michael Penn
  2. math
  3. mathematics
  4. number theory
  5. abstract algebra
  6. calculus
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Комментарии
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Incredible explanation but there is a calculus mistake in the dot product of the second integral

giovannimariotte
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Just a heads up, 3 of your videos on Surface Integrals aren't in your multivariable calculus playlist!! I was quite confused when the playlist jumped from surface areas to Stoke's theorem. Fantastic videos though, they're incredibly helpful.

danielsmith
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For your last example, the normal is actually pointing in the wrong direction since you have positive 1 as your z component

latifmuhammad
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About the second surface integral, I got 12 pi as answer, dunno if it's correct, but in the video there's some mistakes in the dot product

FelipeHenrique-yqbu
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z component should be negative if the normal via the cross product is to point outward

latifmuhammad
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I've got -8π via the divergence thm

latifmuhammad