The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework assignments page will always be accurate.
| Lectures | Sections in Text | Brief Description |
|---|---|---|
| 1/4 | 1.1 | Introduction |
| 1/6 | 1.1 | axioms for the real numbers | 1/9 | 1.2 | Absolute value, intervals, and inequalities | 1/10 | 1.3 | Completeness | 1/11 | 1.4 | Countable and uncountable sets | 1/13, 1/16 | no class | 1/17 | 2.1 | Convergent sequences | 1/18 | 2.2 | Monotone and Cauchy sequences | 1/20 | 2.3 | Subsequences | 1/23 | 3.1 | Limit of functions | 1/25 | 3.2 | Continuous function | 1/27 | 3.3 | Intermediate and extreme values | 1/30 | 3.4 | uniformly continuous function | 1/31 | 3.5 | Monotone functions |