Surface integrals and Stokes' theorem | Multivariable Calculus | Khan Academy
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What you'll learn
This course includes
- 5.3 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 37 lessons • 5.3 hours of video
Surface integrals and Stokes' theorem | Multivariable Calculus | Khan Academy
37 lessons
• 5.3 hours
Surface integrals and Stokes' theorem | Multivariable Calculus | Khan Academy
37 lessons
• 5.3 hours
- Introduction to parametrizing a surface with two parameters | Multivariable Calculus | Khan Academy19:03
- Determining a position vector-valued function for a parametrization of two parameters | Khan Academy16:32
- Partial derivatives of vector-valued functions | Multivariable Calculus | Khan Academy10:07
- Introduction to the surface integral | Multivariable Calculus | Khan Academy22:14
- Example of calculating a surface integral part 1 | Multivariable Calculus | Khan Academy10:45
- Example of calculating a surface integral part 2 | Multivariable Calculus | Khan Academy10:29
- Example of calculating a surface integral part 3 | Multivariable Calculus | Khan Academy09:54
- Surface integral example part 2: Calculating the surface differential | Khan Academy12:51
- Surface integral example part 1: Parameterizing the unit sphere | Khan Academy11:05
- Surface integral example part 3: The home stretch | Multivariable Calculus | Khan Academy12:39
- Surface integral ex2 part 1: Parameterizing the surface | Multivariable Calculus | Khan Academy05:10
- Surface integral ex2 part 2: Evaluating integral | Multivariable Calculus | Khan Academy09:51
- Surface integral ex3 part 1: Parameterizing the outside surface | Khan Academy09:00
- Surface integral ex3 part 2: Evaluating the outside surface | Multivariable Calculus | Khan Academy09:10
- Surface integral ex3 part 3: Top surface | Multivariable Calculus | Khan Academy12:41
- Surface integral ex3 part 4: Home stretch | Multivariable Calculus | Khan Academy04:02
- Conceptual understanding of flux in three dimensions | Multivariable Calculus | Khan Academy08:23
- Constructing a unit normal vector to a surface | Multivariable Calculus | Khan Academy06:23
- Vector representation of a surface integral | Multivariable Calculus | Khan Academy09:35
- Stokes' theorem intuition | Multivariable Calculus | Khan Academy12:12
- Green's and Stokes' theorem relationship | Multivariable Calculus | Khan Academy06:54
- Orienting boundary with surface | Multivariable Calculus | Khan Academy03:28
- Orientation and stokes | Multivariable Calculus | Khan Academy04:26
- Conditions for stokes theorem | Multivariable Calculus | Khan Academy04:44
- Stokes example part 1 | Multivariable Calculus | Khan Academy03:10
- Stokes example part 2: Parameterizing the surface | Multivariable Calculus | Khan Academy04:02
- Stokes example part 3: Surface to double integral | Multivariable Calculus | Khan Academy08:05
- Stokes example part 4: Curl and final answer | Multivariable Calculus | Khan Academy06:54
- Evaluating line integral directly - part 1 | Multivariable Calculus | Khan Academy07:44
- Evaluating line integral directly - part 2 | Multivariable Calculus | Khan Academy06:23
- Stokes' theorem proof part 1 | Multivariable Calculus | Khan Academy05:14
- Stokes' theorem proof part 2 | Multivariable Calculus | Khan Academy07:39
- Stokes' theorem proof part 3 | Multivariable Calculus | Khan Academy04:11
- Stokes' theorem proof part 4 | Multivariable Calculus | Khan Academy07:19
- Stokes' theorem proof part 5 | Multivariable Calculus | Khan Academy05:28
- Stokes' theorem proof part 6 | Multivariable Calculus | Khan Academy05:27
- Stokes' theorem proof part 7 | Multivariable Calculus | Khan Academy11:49
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