# Schedule

**Note:** The schedule is subject to change. Check back for changes and updates. The schedule for later weeks will be filled in at a future date.

Date | Topic | References |
---|---|---|

A. Sept 9 (W) | set theory | I 2.1-2.4 |

1. Sept 10 (R) | axioms for the real numbers, I: field and order axioms | I 3.1-3.4 |

2. Sept 11 (F) | integers, induction, summation notation | I 3.6, I 4.1-4.2, I 4.6 |

3. Sept 15 (T) | axioms for the real numbers, II: least upper bounds | I 3.7-3.11 |

4. Sept 17 (R) | roots, decimals, and the triangle inequality | I 3.13-3.15, I 4.8 |

5. Sept 18 (F) | functions, area axioms | 1.2-1.10 |

6. Sept 22 (T) | definition of the integral | 1.12-1.17 |

7. Sept 24 (R) | basic properties of the integral | 1.18-1.21, 1.24, 1.27 |

8. Sept 25 (F) | computing integrals | 1.22-1.23, 1.25, 2.2-2.3 |

9. Sept 29 (T) | indefinite integrals, introduction to continuity | 2.18, 3.1 |

10. Oct 1 (R) | limits and continuous functions | 3.2-3.5, supplementary notes |

11. Oct 2 (F) | EXAM 1 (covers lectures 1-9) | |

12. Oct 6 (T) | the intermediate value theorem | 3.9-3.10 |

13. Oct 8 (R) | composite and inverse functions | 3.7, 3.12-3.13 |

14. Oct 9 (F) | compactness properties of continuity | 3.16-3.17 |

B. Oct 13 (T) | integrability of continuous functions | 3.18 |

15. Oct 15 (R) | definition of the derivative | 4.3-4.4 |

16. Oct 16 (F) | properties of the derivative | 4.5, 4.10-4.11 |

17. Oct 20 (T) | the mean-value theorem | 4.13-4.14 |

18. Oct 22 (R) | more on extrema | 4.16-4.17 |

19. Oct 23 (F) | the fundamental theorem of calculus | 5.1, 5.3 |

20. Oct 27 (T) | logs and exps | 6.2-6.7, 6.12-6.15 |

21. Oct 29 (R) | trigonometric functions | supplementary notes, 6.20-6.21 |

22. Oct 30 (F) | EXAM 2 (covers lectures 10-19) | |

23. Nov 3 (T) | integration by substitution and by parts | 5.7, 5.9 |

24. Nov 5 (R) | integrals of rational functions | 6.23-6.24 |

25. Nov 6 (F) | Taylor's formula | 7.5-7.6 |

26. Nov 10 (T) | more on Taylor's formula | 7.2-7.3, 7.7, 7.9 |

27. Nov 12 (R) | indeterminate forms | 7.10 |

28. Nov 13 (F) | L'Hopital's rule | 7.12 |

29. Nov 17 (T) | infinite limits | 7.14-7.16 |

30. Nov 19 (R) | infinite sequences | 10.2-10.3 |

31. Nov 20 (F) | EXAM 3 (covers lectures 20-29) | |

32. Nov 24 (T) | infinite series | 10.5-10.7 |

33. Dec 1 (T) | convergence tests | 10.11-10.13, 10.15 |

34. Dec 3 (R) | conditional and absolute convergence | 10.17-10.18, 10.21 |

35. Dec 4 (F) | sequences of functions | 11.1-11.4 |

36. Dec 8 (T) | power series | 11.5-11.6, 11.8 |

37. Dec 10 (R) | Taylor series | 11.9-11.11 |