Lectures (Video)
- 1. Dot product
- 2. Determinants; cross product
- 3. Matrices; inverse matrices
- 4. Square systems; equations of planes
- 5. Parametric equations for lines and curves
- 6. Kepler's second law
- 7. Review
- 8. Partial derivatives
- 9. Least squares
- 10. Second derivative test
- 11. Differentials; chain rule
- 12. Directional derivative
- 13. Lagrange multipliers
- 14. Non-independent variables
- 15. Partial differential equations
- 16. Double integrals
- 17. Double integrals in polar coordinates
- 18. Change of variables
- 19. Vector fields and line integrals
- 20. Path independence and conservative fields
- 21. Gradient fields and potential functions
- 22. Green's theorem
- 23. Flux; normal form of Green's theorem
- 24. Simply connected regions
- 25. Triple integrals
- 26. Spherical coordinates
- 27. Surface integrals and flux
- 28. Divergence theorem
- 29. Divergence theorem II
- 30. Line integrals in space
- 31. Stokes' theorem
- 32. Stokes' theorem II
- 33. Maxwell's equations
- 34. Final Review
- 35. Final Review (cont.)
Calculus II - Lecture 22
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Lecture 22 - Green's theorem
Prof. Denis Auroux
18.02 Multivariable Calculus, Fall 2007 (Massachusetts Institute of Technology: MIT OpenCourseWare) http://ocw.mit.edu Date accessed: 2008-12-23 License: Creative Commons BY-NC-SA |
Lecture Material
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