Date | Topic | Assignments | |
1 | 6/01 | Preliminaries. Rationals and irrationals | Lecture 1 |
6/02 | The axiom of completeness | Lecture 2 | |
6/03 | Consequences of the completeness | Lecture 3 | |
6/04 | Cardinality | Lecture 4 | |
2 | 6/08 | Limits of sequences, operations | Lecture 5 |
6/09 | Monotone convergence, Bolzano-Weiestrass Theorem | Lecture 6 | |
6/10 | Cauchy sequences | Lecture 7 | |
6/11 | Properties of series | Lecture 8 | 3 | 6/15 | Cantor set, open and closed sets | Lecture 9 |
6/16 | Compact sets | Lecture 10 | |
6/17 | Perfect sets and connected sets | Lecture 11 | |
6/18 | Review of Chapters 1 & 2 | Lecture 12 | 4 | 6/22 | Functional limits | Lecture 13 |
6/23 | Continuous functions | Lecture 14 | |
6/24 | Continuity and compactness | Lecture 15 | |
6/25 | Continuity and connectedness | Lecture 16 | |
5 | 6/29 | Derivatives | Lecture 17 |
6/30 | Mean value theorems | Lecture 18 | |
7/01 | Wrap-up | Lecture 19 | |
7/02 | Review | Lecture 20 | |
⚡ | 7/06 | Final examination |