Lecture List

Caveat

These are electronic records of class discussion from Math 221 02 (Calculus I). 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. 25—Introduction
2. Aug. 27—Reading Math Examples
3. Aug. 29—Average Rates of Change
4. Sep. 3—Limits
5. Sep. 5—Limit Laws
6. Sep. 8—Formal Definition of Limit, Part 1
7. Sep. 10—Formal Definition of Limit, Part 2
8. Sep. 12—Miscellaneous Limit Topics
9. Sep. 15—A Real-World Limit Problem
10. Sep. 17—The Limit Definition of the Derivative
11. Sep. 19—The Limit Definition of the Derivative, Part 2
12. Sep. 22—Basic Differentiation Rules
13. Sep. 24—Basic Differentiation Rules, Part 2
14. Sep. 26—The Product and Quotient Differentiation Rules
15. Sep. 29—The Product and Quotient Rules, Part 2
16. Oct. 1—Derivatives of Trigonometric Functions
17. Oct. 3—A Trigonometric Derivative Problem
18. Oct. 6—Hour Exam 1, no lecture notes
19. Oct. 8—The Chain Rule
20. Oct. 10—The Chain Rule and Implicit Differentiation
21. Oct. 15—Introduction to Related Rates Problems
22. Oct. 17—More Related Rates Problems
23. Oct. 20—Estimation with Derivatives
24. Oct. 22—Introduction to Extreme Values
25. Oct. 24—Extreme Values, Part 2
26. Oct. 27—The Mean Value Theorem
27. Oct. 29—Monotone Intervals and Extreme Values
28. Oct. 31—Concavity and Graph Sketching
29. Nov. 3—Introduction to Optimization
30. Nov. 5—Optimization Example
31. Nov. 7—Optimization Example 2
32. Nov. 10—Integration as Area Sums
33. Nov. 12—Optimization Review
34. Nov. 14—Hour Exam 2, no lecture notes
35. Nov. 17—Introduction to Sums
36. Nov. 19—Riemann Sums
37. Nov. 21—Definite Integrals and the Fundamental Theorem of Calculus
38. Nov. 24—Evaluating Definite Integrals
39. Dec. 1—Integration by Substitution
40. Dec. 3—Definite Integrals and Substitution
41. Dec. 5—Definite Integrals and Volumes
42. Dec. 8—Definite Integrals and Volumes, Part 2