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Divergencetheorem
Divergence theorem intuition.Divergence theorem examplesand proofs. Types of regions in3D.
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ALL CONTENT IN DIVERGENCE THEOREM
Divergence theorem(3D)
An earlier tutorial used Green'stheorem to prove the divergencetheorem in 2-D, this tutorial givesus the 3-D version (what mostpeople are talking about whenthey refer to the "divergencetheorem"). We will get an intuitionfor it (that the flux through a closesurface--like a balloon--should beequal to the divergence across it'svolume). We will use it inexamples. We will prove it inanother tutorial.
Types of regions inthree dimensions
This tutorial classifies regions inthree dimensions. Comes in usefulfor some types of double integralsand we use these ideas to provethe divergence theorem.
Divergence theoremproof
You know what the divergencetheorem is, you can apply it andyou conceptually understand it.This tutorial will actually prove it toyou (references types of regionswhich are covered in the "types ofregions in 3d" tutorial.
MULTIVARIABLE CALCULUS
3D divergence theorem intuition
Divergence theorem example 1
Why we got zero flux in divergence theoremexample 1
Type I regions in three dimensions
Type II regions in three dimensions
Type III regions in three dimensions
Divergence theorem proof (part 1)
Divergence theorem proof (part 2)
Divergence theorem proof (part 3)
Divergence theorem proof (part 4)
Divergence theorem proof (part 5)
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