| Lecture | Date | Section | Notes | Homework | Collected Problems |
|---|---|---|---|---|---|
| 1 | 8/26 | 3 | Techniques of Proof I | Section 3# 1, 3, 4, 6, 7 | |
| 2 | 8/28 | 4 | Techniques of Proof II | Section 4# 9, 10, 14, 16, 19, 21 | Homework 1 (pdf, tex) |
| 3 | 8/31 | 5 | Basic Set Operations | Section 5# 12, 15, 19, 25 | |
| 4 | 9/2 | 6 | Relations | Section 6# 11, 22, 26, 28 | |
| 5 | 9/4 | 7 | Functions | Section 7# 3, 11, 17, 33 | Homework 2 (pdf, tex) |
| 6 | 9/7 | 10 | Natural Numbers and Induction | Section 10# 3, 11, 15, 17, 23 | |
| 7 | 9/9 | Induction Workshop (Solutions) | |||
| 8 | 9/11 | 11 | Order Fields | ||
| 9 | 9/14 | 12 | The Completeness Axiom | Section 11# 5, 6, 7, 12 | |
| 10 | 9/16 | Completeness Workshop | Section 12# 3, 8, 9, 10 | Homework 3 (pdf, tex) | |
| 11 | 9/18 | 13 | Topology of the Reals | Section 13# 3, 4, 8, 10, 11 | |
| 12 | 9/21 | 13 | Topology of the Reals - con'd | Section 13# 22, 23 | |
| 13 | 9/23 | Topology Workshop | Homework 4 (pdf, tex) | ||
| 14 | 9/25 | 14 | Compact Sets | Section 14# 3, 4, 6, 12 | |
| 15 | 9/28 | Review | |||
| 16 | 9/30 | Midterm 1 | |||
| 17 | 10/2 | 16 | Sequences | Section 16# 7, 9, 10, 14 | |
| 18 | 10/5 | 16 | Sequences - con'd | Section 16# 13, 15; Section 17# 3, 4 | Homework 5 (pdf, tex) |
| 19 | 10/7 | Sequences Workshop (Solutions) | |||
| 20 | 10/9 | 17 | Limit Theorems | Section 17# 5, 6, 7, 14, 18 | |
| 21 | 10/14 | 18 | Monotone and Cauchy Sequences | Section 18# 5, 13, 15 | Homework 6 (pdf, tex) |
| 22 | 10/16 | 19 | Subsequences | Section 19# 8, 18, 19 | |
| 23 | 10/19 | 19 | Limit Superior and Limit Inferior | Section 19# 3, 7, 11, 17 | |
| 24 | 10/21 | Subsequences Workshop | Homework 7 (pdf, tex) | ||
| 25 | 10/23 | 20 | Limits of Functions | Section 20# 4, 5, 16, 17 | |
| 26 | 10/26 | 21 | Continuous Functions | Section 21# 3, 5, 9, 13, 14, 18 | |
| 27 | 10/28 | Functions Workshop | Homework 8 (pdf, tex) | ||
| 28 | 10/30 | 22 | Properties of Continuous Functions | Section 22# 4, 6, 7, 9 | |
| 29 | 11/2 | 22 | Properties of Continuous Functions - con'd | Section 21# 16 & Section 22# 10, 11 | |
| 30 | 11/4 | Continuity Workshop | Section 25# 3, 7, 12, 18 | ||
| 31 | 11/6 | 25 | The Derivative | ||
| 32 | 11/9 | Review | |||
| 33 | 11/11 | Midterm 2 | |||
| 34 | 11/13 | 26 | Mean Value Theorem | Section 26# 5(a,b), 6, 8 | Homework 9 (pdf, tex) |
| 35 | 11/16 | 27 | Mean Value Theorem -con'd | ||
| 36 | 11/18 | MVT Workshop | Section 26# 12, 17, 21 | ||
| 37 | 11/20 | 28 | Taylor's Theorem | Section 27# 3,5, Section 28# 3, 8, 13 | |
| 38 | 11/23 | 28 | Taylor's Theorem - con'd | Homework 10 (pdf, tex) | |
| 39 | 11/30 | 29 | Riemann Integral | Section 29# 9, 12, 13, 15, 17 | |
| 40 | 12/2 | Riemann Integral Workshop | Section 30# 5, 6, 10 | ||
| 41 | 12/4 | 30 | Properties of the Riemann Integral | ||
| 42 | 12/7 | TBA |