| 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 |