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Multivariable Calculus | The Divergence Theorem
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Classroom Contents
Multivariable Calculus - Multiple Integrals
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- 1 Multivariable Calculus | Introduction to double integrals
- 2 Multivariable Calculus | Double integrals over rectangular regions.
- 3 Multivariable Calculus | A special double integral.
- 4 Multivariable Calculus | Double integrals over general regions.
- 5 Multivariable Calculus | Double integrals and polar coordinates.
- 6 Multivariable Calculus | Changing the order of integration in double integrals.
- 7 Multivariable Calculus | Estimating a double integral.
- 8 Multivariable Calculus | Triple integrals over a rectangular box.
- 9 Multivariable Calculus | Triple integrals over general regions.
- 10 Multivariable Calculus | Triple integrals with polar coordinates.
- 11 Multivariable Calculus | Triple integrals in spherical coordinates.
- 12 Multivariable Calculus | The volume of a torus.
- 13 Multivariable Calculus | Triple integral with spherical coordinates: Example.
- 14 Multivariable Calculus | Transformations of the plane.
- 15 Multivariable Calculus | The Jacobian
- 16 Multivariable Calculus | Change of variables for multiple integrals.
- 17 Multivariable Calculus | Change of variables for multiple integrals examples.
- 18 Multivariable Calculus | More change of variables in multiple integrals.
- 19 Multivariable Calculus | Green's Theorem
- 20 Multivariable Calculus | Changing the order of integration.
- 21 Multivariable Calculus | Green's Theorem Verification Example 1
- 22 Multivariable Calculus | Green's Theorem verification example 2.
- 23 Multivariable Calculus | Two more Green's theorem examples.
- 24 Multivariable Calculus | Vector forms of Green's Theorem.
- 25 Multivariable Calculus | When Green's theorem doesn't apply and winding numbers.
- 26 Multivariable Calculus | The area of a parameterized surface.
- 27 Multivariable Calculus | Surface area of a parameterized surface, example.
- 28 Multivariable Calculus | Surface integral example 1.
- 29 Multivariable Calculus | Surface integral example 2.
- 30 Multivariable Calculus | Surface integrals over vector fields.
- 31 Multivariable Calculus | Two surface integrals over vector fields.
- 32 Multivariable Calculus | The Divergence Theorem
- 33 Multivariable Calculus | Verifying the Divergence Theorem
- 34 Multivariable Calculus | When the divergence theorem doesn't apply.
- 35 Multivariable Calculus | Two Stoke's theorem examples.
- 36 Multivariable Calculus | Divergence Theorem Example
