| Lecture | Date | Section | Topic | Exercises | Homework |
|---|---|---|---|---|---|
| 1 | 8/26 | 1 | Logical Connectives | ||
| 2 | 8/28 | 2 | Quantifiers | 2# 2, 3, 7, 9, 12, 14 | |
| 3 | 8/31 | 3 | Techniques of Proof I | 3# 1, 3, 4, 6, 7 | |
| 4 | 9/02 | 4 | Techniques of Proof II | 4# 9, 10, 14, 16, 19, 21 | Homework 1 (pdf, tex) |
| 5 | 9/04 | 5 | Basic Set Operations | 5# 12, 15, 19, 25 | |
| 6 | 9/07 | 5 | Basic Set Operations - con'd | ||
| 7 | 9/09 | 6 | Relations | 6# 11, 22, 26, 28 | Homework 2 (pdf, tex) |
| 8 | 9/11 | 7 | Functions | 7# 3, 11, 17, 33 | |
| 9 | 9/14 | 7 | Functions - con'd | ||
| 10 | 9/16 | 8 | Cardinality | Homework 3 (pdf, tex) | |
| 11 | 9/18 | 10 | Natural Numbers and Induction | 10# 3, 11, 15, 17, 23 | |
| 12 | 9/21 | 11 | Order Fields | 11# 5, 6, 7, 12 | |
| 13 | 9/23 | 12 | The Completeness Axiom | 12# 3, 8, 9, 10 | Homework 4 (pdf, tex) |
| 14 | 9/25 | 12 | The Completeness Axiom | ||
| 15 | 9/28 | 13 | Topology of the Reals | 13# 3, 4, 8, 10, 11 | |
| 16 | 9/30 | 13 | Topology of the Reals - con'd | 13# 22, 23 | Homework 5 (pdf, tex) |
| 17 | 10/02 | 14 | Compact Sets | 14# 3, 4, 6, 12 | |
| 18 | 10/05 | 14 | Compact Sets - con'd | ||
| 19 | 10/07 | 16 | Sequences | 16# 7, 9, 10, 14 | Homework 6 (pdf, tex) |
| 20 | 10/09 | 16 | Sequences - con'd | 16# 13, 15 | |
| 21 | 10/12 | 17 | Limit Theorems | 17# 3,4, 5, 6, 7, 14, 18 | |
| 22 | 10/14 | 18 | Monotone and Cauchy Sequences | 18# 5, 13, 15 | Homework 7 (pdf, tex) |
| 23 | 10/16 | 18 | Monotone and Cauchy Sequences - con'd | ||
| 24 | 10/21 | 19 | Subsequences | 19# 8, 18, 19 | |
| 25 | 10/23 | 19 | Limit Superior and Limit Inferior | 19# 3, 7, 11, 17 | |
| 26 | 10/26 | 19 | Limit Superior and Limit Inferior - con'd | ||
| 27 | 10/28 | 20 | Limits of Functions | 20# 4, 5, 16, 17 | Homework 8 (pdf, tex) |
| 28 | 10/30 | 21 | Continuous Functions | 21# 3, 5, 9, 13, 14, 16, 18 | |
| 29 | 11/02 | 21 | Continuous Functions - con'd | ||
| 30 | 11/04 | 22 | Properties of Continuous Functions | 22# 4, 6, 7, 9 | Homework 9 (pdf, tex) |
| 31 | 11/06 | 22 | No Class | ||
| 32 | 11/09 | 22 | Properties of Continuous Functions | 22# 10, 11 | |
| 33 | 11/11 | 22 | Properties of Continuous Functions | Homework 10 (pdf, tex) | |
| 34 | 11/13 | 25 | The Derivative | ||
| 35 | 11/16 | 25 | The Derivative - con'd | ||
| 36 | 11/18 | 26 | Mean Value Theorem | 26# 5(a,b), 6, 8 | Homework 11 (pdf, tex) |
| 37 | 11/20 | 29 | The Riemann Integral | 29# 3, 5, 8 | |
| 38 | 11/23 | 29 | The Riemann Integral - con'd | 29# 4, 7 | |
| 39 | 11/30 | 30 | Properties of the Riemann Integral | ||
| 40 | 12/02 | 31 | The Fundamental Theorem of Calculus | ||
| 41 | 12/04 | 31 | The Fundamental Theorem of Calculus | ||
| 42 | 12/07 | Review |