Surface integrals

Collection Contents

Green's Theorem Proof Part 1

by Sal Khan

This video begins the proof of Green's Theorem.
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Green's Theorem Proof (part 2)

by Sal Khan

This video completes the proof of Green's Theorem.
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Green's Theorem Example 1

by Sal Khan

This video provides a simple example of the application of Green's Theorem.
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Green's Theorem Example 2

by Sal Khan

This video provides a more complicated example of the use of Green's Theorem.
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Introduction to Parametrizing a Surface with Two Parameters

by Sal Khan

This video provides a introduction to parameterizing a surface that depends on two parameters.
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Determining a Position Vector-Valued Function for a Parametrization of Two Parameters

by Sal Khan

This video uses a torus toi illustrate ways to parameterize a surface depending on 2 parameters.
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Partial Derivatives of Vector-Valued Functions

by Sal Khan

This video introduces the notion of partial derivatives of a vector-valued function.
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Introduction to the Surface Integral

by Sal Khan

This video uses partial derivatives of vector-valued functions to introduce the concept of surface integrals.
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Example of calculating a surface integral part 1

by Sal Khan

This video explores an integral over the surface of a torus.
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Example of calculating a surface integral part 2

by Sal Khan

This video continues finding the surface integral over a torus.
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Example of calculating a surface integral part 3

by Sal Khan

This video completes the problem of finding the surface area of a torus.
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