The Divergence Theorem

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In this video we discuss the Divergence Theorem that allows us to relate a surface integral of a vector field over a surface to the volume integral of the divergence of the same vector field.

Topics and timestamps:
0:00 – The Divergence Theorem
3:35 – Example: Switching from surface to volume integral
11:19 – Example: Adding a surface to create a closed volume

#Calculus

  1. Christopher Lum
  2. Divergence theorem
  3. Gauss’s Theorem
  4. Ostrogradsky's Theorem
  5. surface integral
  6. volume integral
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Комментарии
Автор

Ahah, I’m not quite ready to bother you with my sensor fusion just yet. But hearing about a 71-meter-tall barrel being caught by sticks only makes me more eager to study these tools.

Thank you again for the quality of your videos!

They're a real treat.

Pierre
From France

bosanova
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AE501 - I never really appreciated the Divergence Theorem in undergrad because of the way it was taught (more proofs than application). Your video of what the Divergence Theorem is and how it can be used made it click in 25 minutes. Thank you!

KarlaPkva
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AE 501: This was a great lecture on the divergence theorem! Especially when discussing the addition of surfaces to create a closed volume to create an easier computation.

keyshawnb
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AE501: The applications are what really get me to understand this concept. Great refresher!

JonathanRiosRoman
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AE501: The use of props is on point for these kinds of problem. Well done!

ethanngo
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AE501: Thank you for the review of the Divergence Theorem. The reminder on making sure the normal vector is pointing the correct direction was useful.

KennethWright-kh
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AE501: Your explanation of the Divergence Theorem makes a lot of sense, thanks!

Evan.M.Phillips
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AE501: Love the resourcefulness of the Tupperware sphere :) -Maggie Shelton

maggiesplantgirl
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AE501: This helped with the HW. Going through the notes and seeing how we can get the same answer using the brute force method shows how useful Divergence Theorem can be!

EfremNickel
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AE 501: Great lecture! I am definitely adding this video to my notes as well!

jacobgivens
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AE501: Loving the methods that we are able to compare between both the divergence theorem as well as surface integrals!

DominicChongShengLim
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AE501: The Divergence Theorem can only be used when the surface is closed. It is easier to calculate in this theorem than the surface integral. Thank you for the video.

Chuan-YuTsai
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AE501B: Johnny Riggi. Very insightful look into the divergence theorem. The tupperware sphere was very helpful in demonstrating your points. What a great idea!

giovanniriggi
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AE501:I hope this time around, I can do more than plug and chug. The correct answer is great but it will be nice to see this subject matter applied

LilanieAlfredaAbdur-Rahman
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AE501: Arda Cetken - Tupperware, the holy grail of mathematical demonstrators. 18:41

ardacetken
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I studied this theorem on fluid mechanics. My professor says that is applicable on a control volume which surface is constant.

cosmin_flo
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AE501: This is a bit different than what I remember from multivariable calculus.

LilanieAlfredaAbdur-Rahman
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Dear sir, it is possiable to make video on if possiable on all theron or equation that are used in real life, like maxwell equation, heat transfer equation, and so on i mean only all important equation that we use in our daily life

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