Lec. | Date | Section | Topic | Quiz |
---|---|---|---|---|

1 | 8/21 | 2,3 | Rational numbers; fields. | - |

2 | 8/23 | 2,3 | Ordered fields; absolute value. | - |

3 | 8/25 | 4 | Maximum and minimum; supremum and infimum. | - |

4 | 8/28 | 4 | Supremum and infimum. Completeness axiom. | - |

5 | 8/30 | 4 | Archimedean property. | 1: Sec. 3,4 |

6 | 9/1 | 4,5 | Archimedean property. Infinity. | - |

- | 9/4 | - | Labor Day - No Classes | - |

7 | 9/6 | 7 | Limits of sequences. | 2: Sec. 4,5 |

8 | 9/8 | 8 | Proofs. | - |

9 | 9/11 | 9 | Limit theorems for sequences. | - |

10 | 9/13 | 9 | Limit theorems for sequences. | 3: Sec. 7,8 |

11 | 9/15 | 9 | Basic examples. | - |

12 | 9/18 | 9 | Sequences diverging to + or - infinity. | 4: Sec. 9 |

13 | 9/20 | 10 | Monotone sequences. | - |

14 | 9/22 | 10 | Lim inf and lim sup. | - |

15 | 9/25 | 10, 11 | Cauchy sequences. Subsequences. | - |

16 | 9/27 | 11 | Subsequences. | - |

17 | 9/29 | Review. | - | |

18 | 10/2 | Exam 1 Study guide
pdf |
- | |

19 | 10/4 | 14 | Series. | - |

20 | 10/6 | 14 | Cauchy criterion, absolute convergence, comparison test. | - |

21 | 10/9 | 14 | Ratio and Root tests. | - |

22 | 10/11 | 15 | Alternating series. | 5: Sec. 14 |

23 | 10/13 | Series: Problems and T/F questions. | - | |

24 | 10/16 | 17 | Continuous functions. | 6: Sec. 14,15 |

25 | 10/18 | 17 | Continuous functions. | - |

26 | 10/20 | 17 | Continuous functions. | - |

27 | 10/23 | 18 | Properties of continuous functions. | 7: Sec. 17 |

28 | 10/25 | 19 | Uniform continuity. | - |

29 | 10/27 | 19,18 | Uniform continuity. Intermediate Value Theorem. | - |

30 | 10/30 | 18, 20 | Intermediate Value Theorem. Limits of functions. | - |

31 | 11/1 | 20 | Limits of functions. | - |

32 | 11/3 | Review. | - | |

33 | 11/6 | Exam 2 Study guide
pdf |
||

34 | 11/8 | 28 | Derivative: definition and examples. | - |

35 | 11/10 | 28 | Properties of the derivative. | - |

36 | 11/13 | 28 | Properties of the derivative. | 8: Sec. 28 |

37 | 11/15 | 29 | The Mean Value Theorem. | - |

38 | 11/17 | 29 | Increasing and decreasing functions. Derivative of the inverse function. |
- |

39 | 11/27 | 32 | The Riemann Integral: Darboux construction. | 9: Sec. 28,29 |

40 | 11/29 | 32, 33 | Integrability. | - |

41 | 12/1 | 32, 33 | Riemann sums. Properties of the integral. | - |

42 | 12/4 | 33, 34 | Properties of the integral. FTC I. | 10: Sec. 32 |

43 | 12/6 | 34 | FTC I and FTC II. | - |

44 | 12/8 | Review. | - | |

** Final Exam: Monday, December 11, 10:10 - noon, in 101 Thomas.**
Study guide
pdf