VideoList441

1. Vector Fields
https://drive.google.com/file/d/1HS-e42BrwHIh6uMtXxpKzGUmjg-Z6Qcq/view?usp=sharing

2. Surface Area :  z = f(x,y)
https://drive.google.com/file/d/1yjnrA1noUqcideEjGFV62gEe3c9kY9qn/view?usp=sharing

3. Surface Area : parametric
https://drive.google.com/file/d/1dBSIUje3PuEGYwIe-eF4E43vkmi1X_YG/view?usp=sharing

4. Torus Problem
https://drive.google.com/file/d/1_Z1FP3YRgJJ5_43Jt1z6R1CwUulybKbh/view?usp=sharing

5. Surface Integrals
https://drive.google.com/file/d/1jYDORJ-HNf3qgHnyMV6pvOKnBQz-0iLj/view?usp=sharing

6. Surface Integral Examples
https://drive.google.com/file/d/1BKJbEafLh50-LMJb8Wxif5VsRUxfZAL4/view?usp=sharing

7. Surface Integrals Over Closed Surfaces
https://drive.google.com/file/d/1y3nduGwAmqbR4nApMa9OSSU0dNY7Un5U/view?usp=sharing

8. Introduction to Divergence
https://drive.google.com/file/d/1qWh1zGHVuThgGwXhTvK0BgLzUkWQwl-W/view?usp=sharing

9. The Divergence Theorem
https://drive.google.com/file/d/1R1AwtX1ZsRuoH1-x0DVvhZBdg6JABcon/view?usp=sharing

10. Gauss's Law for Electric Fields
https://drive.google.com/file/d/15JYf2A7PkVhXLhmScTeaODpSUoaku1OC/view?usp=sharing

11. Buoyancy - Archimedes' Principle
https://drive.google.com/file/d/1diKft9eFDyW6llyBeIOk6LoPyyats07H/view?usp=sharing

12. Vector Identities with the "Del" Operator
https://drive.google.com/file/d/1MGmzjoIZ7aKpscGXUoqhfxaWwTFlZ74-/view?usp=sharing

13. Line Integrals - Review of parametric calculations
https://drive.google.com/file/d/1QG3-F6R74LoPVOkPa0GJwHkXBKv3DIly/view?usp=sharing

14. Line Integrals - More Examples - nonparametric calculations
https://drive.google.com/file/d/1x65CkwO7x5pcqAezPcGSsKzlA55JsSOz/view?usp=sharing

15. Conservative Vector Fields and the Existence of a Potential Function
https://drive.google.com/file/d/1Tr2gXMxLKpVfLIw5I-ShRBsPbTCx4mcO/view?usp=sharing

16. Potential Function - Examples
https://drive.google.com/file/d/1fUFs4bycMp1HaZpVqn2GlOiQPDVPtgnZ/view?usp=sharing

17. Circulation Density, Closed Loop Integrals, Interpretation of the Curl
https://drive.google.com/file/d/11IXdUQ6XQjFnUswiC9PcXQTisE-ABqcx/view?usp=sharing

18. Stokes' Theorem
https://drive.google.com/file/d/1J--QGKXLQYKcFUY1ZBy00WqeSnH2sB6J/view?usp=sharing

19. Stokes' Theorem Examples.  Green's Theorem
https://drive.google.com/file/d/1_J27Q0-AvsGUD-FIh2qrjSUfSNkNxThg/view?usp=sharing

20. Application of Stokes' Theorem - Ampere's Law and Faraday's Law
https://drive.google.com/file/d/1L85ma-qVZhfCMoEIvcZWmRLahP39IYrV/view?usp=sharing

21. Application of the Divergence Theorem - Derivation of the Heat Equation
https://drive.google.com/file/d/1f6H3lp0iPddEsPYdeGIOu2zrLuDNt1b1/view?usp=sharing

22. Introduction to Differential Equations - Separation of Variables
https://drive.google.com/file/d/1Ep8W1svtfjWLouhVnNSwIlCqGpMbKkaK/view?usp=sharing

23. Applications of Separation of Variables
https://drive.google.com/file/d/1uX33CAikG20XymNe1RDiY63o-2HuwObo/view?usp=sharing

24.  Review of Second Order Ordinary Differential Equations
https://drive.google.com/file/d/1bewa_fw4PKUrIOsRLE-JS2H8f_6zPUFI/view?usp=sharing

25.  Review of Imaginary Numbers
https://drive.google.com/file/d/1LPTPcPw3s_7VIDiiNgLD1oZ7bCpPfO86/view?usp=sharing

26.  Review of Complex Roots
https://drive.google.com/file/d/1_biYzRmYgg4FVidKBwo8zYBkH3dRQDEN/view?usp=sharing

27.  Review of Complex Multiplication
https://drive.google.com/file/d/1ObuC_LaU0n6HVOp86mWcKIkMSi3wWwTj/view?usp=sharing

28. Preparation for Fourier Series - Trigonometric Integrals
https://drive.google.com/file/d/1UzpRVGDYnopn24unb5XOkR2VBv1K-zpZ/view?usp=sharing

29. Fourier Sine Series
https://drive.google.com/file/d/1HTmmUbgNa2iNXMa-jqqu39Yfi5ZS0zHZ/view?usp=sharing

30. Even and Odd Functions.  Formula for Fourier Coefficients
https://drive.google.com/file/d/1hsGkgaKKzPNFltSdkA_JX9Lpx93S15tb/view?usp=sharing

31. Fourier Series Examples
https://drive.google.com/file/d/1XAimMwiruwJKJz7KhhVZXS0kIk2oIOQP/view?usp=sharing

32. Fourier Series on [-L,  L].  Inner product
https://drive.google.com/file/d/1SBjnPpWNWoEydv1zjRxpczvRpdDphyWO/view?usp=sharing

33. Solution of the Heat Equation
https://drive.google.com/file/d/1onfrfVm0sePHUMMtAJGWAHzoU6vtcdN3/view?usp=sharing

34. Heat Equation with Neumann Boundary Conditions
https://drive.google.com/file/d/14bIozc_lvLczZYDUU1Ee8PAv2QOAGRrJ/view?usp=sharing

35. Laplace's Equation
https://drive.google.com/file/d/1nbvsiEtFfvuL4za4JpoAlM3VaZKOK6wk/view?usp=sharing

36.  The Wave Equation
https://drive.google.com/file/d/1LvW79evLvh1hlZNFooCD_sWqSVQhIgAK/view?usp=sharing