課程目錄：

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

27