Class | Date | Topic | Section(s) |
1 | W 8/26 | Introduction. Propositional logic. | Appendix A |
2 | M 8/31 | Variables and quantifiers. Proofs. | Appendix A, 1.1 |
3 | W 9/2 | Sets and functions. | 1.1 |
M 9/7 | Labor Day | ||
4 | W 9/9 | Sets and functions (contd.). | 1.1 |
5 | M 9/14 | Mathematical induction. | 1.2 |
6 | W 9/16 | Finite and infinite sets. | 1.3 |
7 | M 9/21 | Construction of integer, rational, and real numbers. The algebraic and order properties of the real line. | 2.1 |
8 | W 9/23 | Absolute values and the real line. The completeness property of R. | 2.2, 2.3 |
9 | M 9/28 | The completeness property of R (contd.). | 2.3 |
10 | W 9/30 | Applications of the supremum property. | 2.4 |
11 | M 10/5 | Test 1. | |
12 | W 10/7 | Applications of the supremum property (contd.). Intervals. | 2.4, 2.5 |
13 | M 10/12 | Intervals. | 2.5 |
14 | W 10/14 | Sequences and their limits. | 3.1 |
15 | M 10/19 | Limit theorems. | 3.2 |
16 | W 10/21 | Limit theorems (cont). Monotone sequences. | 3.2, 3.3 |
17 | M 10/26 | Monotone sequences (cont). | 3.3 |
18 | W 10/28 | Subsequences and the Bolzano-Weierstass Theorem. | 3.4 |
19 | M 11/02 | Subsequences and the Bolzano-Weierstass Theorem (cont). The Cauchy Criterion. | 3.4, 3.5 |
20 | W 11/04 | Contractive sequences. | 3.5 |
21 | M 11/09 | ||
22 | W 11/11 | Test 2. | |
23 | M 11/16 | ||
24 | W 11/18 | ||
25 | M 11/23 | ||
26 | W 11/25 | ||
27 | M 11/30 | ||
28 | W 12/02 | ||
29 | M 12/07 | ||
W 12/16 (1-3) | Final Exam. | ||