Lecture List

Caveat

These are electronic records of class discussion from Math 223 03 (Calculus III). They are generally captured as a class unfolds, and slightly cleaned up afterwards. They are not clean, carefully-planned lecture notes in the usual sense. They are more an electronic equivalent of notes on the blackboard: they record some of what the instructor said, some of what students said, the things that really happened in the class—including the misunderstandings, false starts, and similar things that happen in real classes. The goal of these notes is as much to help students remember how they learned as it is to help them remember what they learned (because the “how” of learning is at least as important as the “what”).

Please make WWW or other electronic links to this page only—I want people reading these notes to see the “caveat” above.

Send comments, questions, etc. related to these notes to Doug Baldwin.

1. Aug. 31—Introduction
2. Sep. 2—3D Coordinate Systems
3. Sep. 4—Cylinders and Quadric Surfaces
4. Sep. 9—Introduction to muPad
5. Sep. 11—Introduction to Vectors
6. Sep. 14—The Dot Product
7. Sep. 16—The Cross Product
8. Sep. 18—Lines
9. Sep. 21—Planes
10. Sep. 23—Vector-Valued Functions
11. Sep. 25—Examples of Vector-Valued Functions
12. Sep. 28—Integrating Vector-Valued Functions
13. Sep. 30—Arc Length and Vector-Valued Functions
14. Oct. 2—Arc Length, Part 2
15. Oct. 5—Exam 1 (no lecture notes)
16. Oct. 7—Curvature
17. Oct. 9—Introduction to Multi-Variable Functions
18. Oct. 14—Limits of Multi-Variable Functions
19. Oct. 16—Partial Derivatives
20. Oct. 19—The Chain Rule with Partial Derivatives
21. Oct. 21—Introduction to Gradients and Directional Derivatives
22. Oct. 23—Gradients and Directional Derivatives, Part 2
23. Oct. 26—Tangent Planes and Linearization
24. Oct. 28—Extreme Values, Part 1
25. Oct. 30—Extreme Values and Boundaries
26. Nov. 2—Exam 2 (no lecture notes)
27. Nov. 4—Optimization Problems and Lagrange Multipliers
28. Nov. 6—Integration on Rectangular Regions
29. Nov. 9—Double Integration over Non-Rectangular Regions
30. Nov. 11—Area and Average Value
31. Nov. 13—Triple Integration
32. Nov. 16—Introduction to Line Integrals
33. Nov. 18—Line Integral Examples
34. Nov. 20—Mass and Moment
35. Nov. 23—Vector Fields
36. Nov. 30—Line Integrals in Vector Fields
37. Dec. 2—Introduction to Conservative Fields
38. Dec. 4—Conservative Field Examples
39. Dec. 7—Introduction to Green’s Theorem
40. Dec. 9—Using Green’s Theorem
41. Dec. 11—More on Using Green’s Theorem
42. Dec. 14—Divergence and Curl; Parametric Surfaces
43. Dec. 15—Review Session