Stokes’ Theorem

In this video we discuss Stokes’ Theorem which relates the surface integral of the curl of a vector field to a closed line integral over the boundary of the surface.

Topics and timestamps:
0:00 – Introduction
7:53 – Example
18:39 – Relationship to Green’s Theorem

#Calculus

[ethanngo]

AE501: Thanks for walking us through different scenarios where using Line Integral is easier than Surface Integral and vice versa. I learned a lot!

[EfremNickel]

AE501: Helpful video! Thanks for bringing up the direction the surface normal should be pointed and confirming its in the right orientation!

[KarolOrtizSolar]

AE501: Great live examples! It makes it easier to follow the steps.

[michelleelizabeth]

Thank you so much for sharing. Well explained. Way more better than my university professor.

[TheyCallMeApplePie]

Just stumbled on this channel i find the explanations very intuitive. Thanks professor!

[Chuan-YuTsai]

AE501: Thank you for the lecture on Stokes' Theorem. In 20:01, (curl F) dot n should be (partial F2/x) - (partial F1/y)

[keyshawnb]

AE 501: I was shocked to see that there was a relationship between Stoke's Theorem and Green's Theorem! This was a great lecture :)

[DominicChongShengLim]

AE501: Great and simple explanation with visuals! Helps with learning!

[ahmedashmaig]

AE501: Thanks for such an informative video! It's interesting to see the relationship between Stoke's Theorem and Green's theorem!

[ddhakhwa]

AE501: Thanks for the great review on Stokes', I haven't looked at this for a long time

[LilanieAlfredaAbdur-Rahman]

Ae501: Thanks for the explanation and comparison to Greens theorem It may be helpful to use a specific scenario with the example. I think that many of us were able to perform the calculations for Stokes in calculus. Fast forward 1 to 2 years after learning it, and land in a course that cites Stokes or Greens theorem, and suddenly you realize you never knew what you were really calculating.

[tonykuenzli]

AE501 - Really appreciate the building block approach this class took towards calculus.

[Evan.M.Phillips]

AE501: Thanks for the discussion of Stokes' Theorem!

[KennethWright-kh]

AE501: Thank you for this lesson on Stoke's Theorem.

[giovanniriggi]

AE501: Johnny Riggi. Last week Tupperware, this week a glass, what next? But in all seriousness this lecture very easily broke down the theorem and its relations to other mathematical concepts. Thanks for the upload!

[paxtonschipper]

AE501: Great video, really helped me understand the homework.

[Andrew_Bruns]

AE501: I didn't realize Green's Theorem was a special case of Stoke's Theorem. Definitely interesting to see the relationship between the theorems.

[BennettBoyd-hf]

AE501: Helpful discussion on Stokes' Theorem

[edd.]

Another fantastic presentation! Thank you.

[KarlaPkva]

AE501 - In an alternate (possibly cooler) timeline, Stokes' Theorem is called Lord Kelvin's Theorem.