### 台大好課評價：微積分二

1. Functions of several variables and continuity
2. Partial derivatives
3. Differential of a function
4. Chain rule
5. Mean value and Taylor theorem in several variables
6. Integral of functions with a parameter
7. Line integrals
8. The fundamental theorem on line integrals
Midterm 1
9. Implicit functions
10. Inverse function
11. Maxima and minima
12. Lagrange multiplier
13. Solving inverse map by iterations, Dependent functions
14. Area, double integrals and Integrals in higher dimensions
15. Change of variable formula
Midterm 2
16. Improper multiple integrals
17. Integrals in curvilinear coordinates
18. Higher dimensional integrals
19. Improper integrals with a parameter
20. Green's theorem
21. Applications and interpretations by flows
22. Orientation of surfaces and surface integrals
23. Gauss's theorem in space
24. Stokes's theorem in space
25. Higher dimensions
Final

1. Introduction to Calculus and Analysis Vol.II by Richard Courant and Fritz John（參考用）
2. 教授自己整理的筆記