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.

Unlinked lectures have not been typed yet. I may come back to these later, especially if there is demand.

- 1. Density and approximation (7 September)
- 2. Density and the definite integral (9 September)
- 3. Numerical methods (12 September)
- 4. Error bounds for numerical methods (14 September)
- 5. Area and volume (16 September)
- 6. Volumes of revolution (19 September)
- 7. Average value and substitution (21 September)
- 8. Integration by parts (23 September)
- 9. Partial fractions (26 September)
- 10. Three-dimensional density (28 September)
- 11. Improper integrals, I (30 September)
- 12. Improper integrals, II (3 October)
- 13. Taylor Approximation (5 October)(worksheet/solutions)
- 14. Taylor's Theorem (7 October)
- 15. Taylor Series (12 October)
- 16. Convergence of series (14 October)
- 17. The Nth term and comparison tests (17 October)
- 18. Geometric series (19 October)
- 19. Comparing to integrals; p-series (21 October)
- 20. Asymptotics (24 October)
- 21. Ratio test (26 October)
- 22. Power series I (28 October)
- 23. Power series II (31 October)
- 24. Alternating series (2 November)
- 25. Introduction to differential equations (4 November)
- 26. Slope fields (7 November)
- 27. Autonomous equations (9 November)
- 28. Separation of variables (14 November)
- 29. Series solutions (16 November)(worksheet)
- 30. Second order homogeneous equations I (18 November)
- 31. Second order homogeneous equations II (21 November)
- 32. Systems of equations (28 November)
- 33. Phase plane analysis I (30 November)
- 34. Phase plane analysis II (2 December)