Lecture List

Caveat

These are electronic records of class discussion from Math 221 10 (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. 26—Introduction
2. Aug. 28—Average Rates of Change
3. Sep. 2—The Concept of Limit
4. Sep. 4—Limit Laws
5. Sep. 9—Formal Definition of Limit
6. Sep. 11—Limits Miscellany
7. Sep. 16—Limit Definition of the Derivative
8. Sep. 18—Limit Definition of the Derivative, Part 2
9. Sep. 23—Basic Differentiation Rules
10. Sep. 25—Introduction to the Product and Quotient Rules for Derivatives
11. Sep. 30—Derivatives of Trigonometric Functions
12. Oct. 2—The Chain Rule
13. Oct. 7—Exam 1, no lecture notes
14. Oct. 9—Implicit Differentiation
15. Oct. 16—Introduction to Related Rates Problems
16. Oct. 21—Estimating with Derivatives
17. Oct. 23—Estimating with Derivatives, Part 2
18. Oct. 28—The Mean Value Theorem
19. Oct. 30—Curve Sketching
20. Nov. 4—Introduction to Optimization
21. Nov. 6—Optimization Examples
22. Nov. 11—Integration and Sums
23. Nov. 13—Integration and Sums, Part 2
24. Nov. 18—Exam 2, no lecture notes
25. Nov. 20—Riemann Sums and Definite Integrals
26. Nov. 25—Evaluating Definite Integrals
27. Dec. 2—Integration by Substitution
28. Dec. 4—Volumes and Integration