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. Jan. 19—Introduction
2. Jan. 20—3D Coordinate Frames
3. Jan. 21—Introduction to muPad
4. Jan. 26—Quadric Surfaces and Cylinders
5. Jan. 27—Introduction to Vectors
6. Jan. 28—Vector Examples and Theory
7. Feb. 2—The Dot Product
8. Feb. 3—The Cross Product
9. Feb. 4—Lines
10. Feb. 9—Planes
11. Feb. 10—Introduction to Vector-Valued Functions
12. Feb. 11—Vector-Valued Functions, Part 2
13. Feb. 16—Class cancelled, no lecture notes
14. Feb. 17—Integrating Vector-Valued Functions
15. Feb. 18—Introduction to Arc Length
16. Feb. 23—Arc Length, Part 2
17. Feb. 24—Curvature
18. Feb. 25—Exam 1, no lecture notes
19. Mar. 1—Multivariable Functions
20. Mar. 2—Limits of Multivariable Functions
21. Mar. 3—Online Creation of Exam Solution
22. Mar. 8—Partial Derivatives
23. Mar. 9—The Chain Rule for Partial Derivatives
24. Mar. 10—Gradients and Directional Derivatives
25. Mar. 22—Tangent Planes
26. Mar. 23—Local Extreme Values
27. Mar. 24—Absolute Extreme Values
28. Mar. 29—Optimization and Lagrange Multipliers
29. Mar. 30—Double Integrals
30. Mar. 31—Exam 2, no lecture notes
31. Apr. 5—Integrals over General Regions
32. Apr. 6—Finding Bounds for Integration
33. Apr. 7—Mass and Moment
34. Apr. 12—Line Integrals of Scalar Functions
35. Apr. 13—Vector Fields
36. Apr. 14—Line Integrals of Vector Fields
37. Apr. 19—GREAT Day, no lecture notes
38. Apr. 20—Using Line Integrals of Vector Fields
39. Apr. 21—Conservative Vector Fields
40. Apr. 26—Introduction to Green’s Theorem
41. Apr. 27—Green’s Theorem, Part 2
42. Apr. 28—Introduction to Parametric Surfaces
43. May 3—Divergence and Curl