Use these notes at your own risk. I am writing them in order to clarify for myself what I covered (or intended to cover) in class, as well as to elaborate on points that I did not have time to cover in class. Of course, I very much hope that they can be useful to you. I welcome any corrections or suggestions.

Note that the dates and lecture numbers correspond to sections meeting on Monday, Wednesday and Friday, although I teach on Tuesday and Thursday. I organize it this way to match the division of the homework problems and course material.

- 1. Introductions (M 9 September)
- 2. Average rate of change (W 11 September)
- 3. Introduction to limits (F 13 September)
- 4. Continuity I (M 16 September)
- 5. Continuity II (W 18 September)
- 6. Derivatives (F 20 September)
- 7. The derivative as a function (M 23 September)
- 8. What f' says about f (W 25 September)
- 9. Differentiating polynomials and exponentials (F 27 September)
- 10. Linear approximation (M 30 September)
- 11. Extrema (W 2 October)
- 12. Sketching functions (F 4 October)
- 13. Optimization I (M 7 October)
- 14. Products, quotients, and trig functions (W 9 October)
- 15. Optimization II (F 11 October)
- (No class M 14 October)
- 16. The Chain rule (W 16 October)
- 17. Implicit Differentiation (F 18 October)
- 18. Infinite limits (M 21 October)
- 19. Limits to infinity (W 23 October)
- 20. Further graphing (F 25 October)
- 21. Logarithmic differentiation (M 28 October)
- 22. Related rates (W 30 October)
- Exam 2 Review Review problems Answers
- 23. L'Hôpital's rule (F 1 November)
- 24. Indeterminate forms (W 6 November)
- 25. Anti-derivatives (F 8 November)
- 26. Areas and Riemann sums (M 11 November)
- 27. The definite integral (W 13 November)
- 28. The Fundamental theorem (F 15 November)
- 29. Evaluating definite integrals (M 18 November)
- 30. Substitution I (W 20 November)
- 31. Substitution II (F 22 November)
- 32. Integration by parts (M 25 November)
- (No class W 27 November)
- (No class F 29 November)
- 33. Area by slicing (M 2 December)
- 34. Integration with density (W 4 December)

- Official course webpage
- Why textbooks are so expensive
- The Onion on trigonometric functions
- Tolstoy on integration
- FAQs for the final exam