Multivariable Calculus with Edward Frenkel at UC Berkeley

source: CosmoLearning       2017年8月5日
MATH 53: Multivariable Calculus with Edward Frenkel

1 1:19:50 Lecture 01. Curves in 2D and 3D Spaces
2 1:19:27 Lecture 02. Tangent Lines for Parametric Curves
3 1:19:04 Lecture 03. Arc Length for Parametric Curves, and Polar Coordinates
4 1:16:59 Lecture 04. Polar Coordinates & Vector Algebra
5 1:20:51 Lecture 05. Lines and Planes in ℝ³
6 1:21:03 Lecture 06. Parametric Curves in ℝ³
7 1:18:28 Lecture 07. Limits
8 1:19:29 Lecture 08. Partial Derivatives
9 1:19:36 Lecture 09. Differentials
10 1:18:15 Lecture 10. Review for Midterm Exam 1
11 1:20:24 Lecture 11. Directional Derivatives
12 1:18:49 Lecture 12. Maximum and Minimum Functions
13 1:20:03 Lecture 13. Lagrange Multipliers
14 1:20:24 Lecture 14. Double Integrals
15 1:19:36 Lecture 15. Triple Integrals in Cylindrical and Spherical Coordinates
16 1:18:56 Lecture 16. More on Triple Integrals
17 1:19:46 Lecture 17. Review for Midterm Exam 2
18 1:20:05 Lecture 18. Line Integrals of Vector Fields
19 1:20:48 Lecture 19. The Gradient Theorem (Fundamental Theorem of Line Integrals)
20 1:19:23 Lecture 20. Green's Theorem
21 1:19:46 Lecture 21. Curl and Divergence of a Vector Field
22 1:20:17 Lecture 22. Surface Integrals
23 1:21:54 Lecture 23. Stokes' Theorem (Generalization of Green's Theorem in ℝ³) 
24 1:19:27 Lecture 24. The Divergence Theorem (Gauss' Theorem)
25 1:13:25 Lecture 25. Review of Multivariable Calculus by Edward Frenkel