华盛顿大学《高级多元微积分》课程视频
课程目录
- 1. Double integrals
- 2. Double integrals and polar coordinates
- 3. Applications of double integrals
- 4. Review of vectors; the area of a graph
- 5. Triple integrals
- 6. Triple integrals and cylindrical coordinates
- 7. Cylindrical and spherical coordinates
- 8. Change of variables
- 9. Review for midterm 1
- 10. Chain rule and gradient vector
- 11. Directional derivatives and vector fields
- 12. Parametrization and length of curves
- 13. Line integrals
- 14. Work and FTC for line integrals
- 15. Conservative fields and Greens theorem
- 16. Greens theorem
- 17. Divergence and curl
- 18. Flux divergence and curl
- 19 Review for midterm 2
- 20. Parametrization of surfaces
- 21. Surface area and surface integrals
- 22. Surface integrals
- 23. Flux across a surface
- 24. The divergence theorem
- 25. Stokes theorem
- 26. Applications to Electromagnetism
- 27. Course review
课程介绍
课程目录：
1. Double integrals
2. Double integrals and polar coordinates
3. Applications of double integrals
4. Review of vectors; the area of a graph
5. Triple integrals
6. Triple integrals and cylindrical coordinates
7. Cylindrical and spherical coordinates
8. Change of variables
9. Review for midterm 1
10. Chain rule and gradient vector
11. Directional derivatives and vector fields
12. Parametrization and length of curves
13. Line integrals
14. Work and FTC for line integrals
15. Conservative fields and Green's theorem
16. Green's theorem
17. Divergence and curl
18. Flux, divergence and curl
19 Review for midterm 2
20. Parametrization of surfaces
21. Surface area and surface integrals
22. Surface integrals
23. Flux across a surface
24. The divergence theorem
25. Stokes' theorem
26. Applications to Electromagnetism
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