LECTURE | SECTIONS | DESCRIPTION |
5/31 | 1.1, 1.2 | Preliminaries |
6/2 | 1.3 | Axiom of Completeness |
6/7 | 1.3, 1.4 | Completeness and Consequences |
6/9 | 1.5 | Cardinality |
6/14 | 2.1, 2.2 | Limit of a Sequence |
6/16 | 2.3 | Theorems for finding a limit |
6/21 | 2.4 | Monotone Convergence Theorem and Infinite Series |
6/23 | 2.5 | Subsequences and Bolzano-Weierstrass Theorem |
6/28 | 2.6 | Cauchy Criterion. Equivalence of Completeness |
6/30 | 2.7 | Properties of Infinite Series |
7/5 | First Midterm | |
7/7 | 3.1, 3.2 | Open and Closed Sets |
7/12 | 3.2, 3.3 | Compact Sets |
7/14 | 3.3, 3.4 | Connected Sets |
7/19 | 4.1, 4.2 | Functional Limits |
7/21 | 4.3 | Continuous Functions |
7/26 | 4.4 | Continuous Functions over a Compact Set |
7/28 | 4.5 | Intermediate Value Theorem |
8/2 | Second Midterm | |
8/4 | 5.1, 5.2 | Derivatives and Intermediate Value Property |
8/9 | 5.3 | Mean Value Theorems |
8/11 | Review Session | |
8/16 | Final Exam |