Surface integrals and Stokes' theorem | Multivariable Calculus | Khan Academy (English)

   Thursday, July 08, 2021   

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Surface integrals and Stokes' theorem | Multivariable Calculus | Khan Academy
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Lecture Description of this above Topic:

Lecture 1: Stokes' theorem proof part 6

Lecture 2: Stokes' theorem proof part 4

Lecture 3: Stokes' theorem proof part 3

Lecture 4: Example of calculating a surface integral part 1

Lecture 5: Orienting boundary with surface

Lecture 6: Stokes example part 2: Parameterizing the surface

Lecture 7: Stokes' theorem intuition

Lecture 8: Introduction to the surface integral

Lecture 9: Evaluating line integral directly - part 1

Lecture 10: Stokes example part 1

Lecture 11: Surface integral ex3 part 1: Parameterizing the outside surface

Lecture 12: Surface integral example part 1: Parameterizing the unit sphere

Lecture 13: Surface integral ex2 part 2: Evaluating integral

Lecture 14: Evaluating line integral directly - part 2

Lecture 15: Vector representation of a surface integral

Lecture 16: Surface integral ex2 part 1: Parameterizing the surface

Lecture 17: Green's and Stokes' theorem relationship

Lecture 18: Orientation and stokes

Lecture 19: Stokes example part 3: Surface to double integral

Lecture 20: Stokes' theorem proof part 7

Lecture 21: Stokes' theorem proof part 5

Lecture 22: Stokes' theorem proof part 2

Lecture 23: Determining a position vector-valued function for a parametrization of two parameters

Lecture 24: Surface integral ex3 part 4: Home stretch

Lecture 25: Partial derivatives of vector-valued functions

Lecture 26: Stokes example part 4: Curl and final answer

Lecture 27: Conceptual understanding of flux in three dimensions

Lecture 28: Introduction to parametrizing a surface with two parameters

Lecture 29: Stokes' theorem proof part 1

Lecture 30: Example of calculating a surface integral part 2

Lecture 31: Example of calculating a surface integral part 3

Lecture 32: Surface integral example part 2: Calculating the surface differential

Lecture 33: Constructing a unit normal vector to a surface

Lecture 34: Surface integral example part 3: The home stretch

Lecture 35: Surface integral ex3 part 3: Top surface

Lecture 36: Surface integral ex3 part 2: Evaluating the outside surface

Lecture 37: Conditions for stokes theorem