Tentative Schedule for Classes
| LECTURE | SECTIONS | DESCRIPTION |
| 5/30 | 1.2 | Introduction, Logic and Proofs, Sets, Functions, Cardinalties |
| 6/1 | 1.2, 1.3 | Real Number System, Axiom of Completeness |
| 6/6 | 1.4 | Nested Interval Property, Archimedean Property, Density Theorems |
| 6/8 | 1.5 | Cardinality of the set of real numbers. |
| 6/13 | 2.2 | Limit of a Sequence, \epsilon-N arguments |
| 6/15 | 2.3 | Properties of convergent sequences |
| 6/20 | 2.4 | Monotone Convergence Theorem, Mathematical Induction |
| 6/22 | 2.5 | Subsequences and Bolzano-Weierstrass Theorem |
| 6/27 | 2.6 | Cauchy's Criterion. Equivalence of Completeness |
| 6/39 | 2.7 | Midterm |
| 7/4 | No class | |
| 7/6 | 3.2 | Open and Closed Sets |
| 7/11 | 3.2, 3.3 | Compact Sets |
| 7/13 | 3.3, 3.4 | Connected Sets |
| 7/18 | 4.2 | Functional Limits |
| 7/20 | 4.3 | Continuous Functions |
| 7/25 | 4.4 | Continuous Functions over a Compact Set |
| 7/27 | 4.5 | Intermediate Value Theorem |
| 8/1 | Summary of Chapter 2, 3, 4 | |
| 8/3 | 5.1, 5.2 | Derivatives and Intermediate Value Property |
| 8/8 | 5.3 | Mean Value Theorems |
| 8/10 | Review Session | |
| 8/15 | Final Exam |