This schedule is subject to change.
Date | Topic |
Wed 1/9 | 1.1, 1.2 Introduction (read 1.3, 1.4, 1.5) |
Fri 1/11 | 1.6 Functions, 1.7
Equivalence relations |
Mon 1/14 | 2.1 Bounds, 2.2 Finite
and infinite sets |
Wed 1/16 | Seminar day |
Fri 1/18 | No class meeting
- Read 2.3 Topology of the real line |
Mon 1/21 | MLK Day |
Wed 1/23 |
2.3 Topology of the real line |
Fri 1/25 |
2.4 Nested intervals |
Mon 1/28 |
2.5 Topology of the plane |
Wed 1/30 |
Seminar day |
Fri 2/1 |
3.1 Metric spaces |
Mon 2/4 |
More 3.1, 3.2 Topology
of metric spaces |
Wed 2/6 |
More 3.2 |
Fri 2/8 |
3.3 Interiors, closures,
boundaries |
Mon 2/11 |
Seminar day |
Wed 2/13 |
3.4 Continuity |
Fri 2/15 |
3.5 Equivalence of
metric spaces |
Mon 2/18 |
3.6 Subspaces and
product spaces |
Wed 2/20 |
Catch up, review |
Fri 2/22 |
Exam #1
(take-home; no class meeting) |
Mon 2/25 |
4.1 Topological spaces |
Wed 2/27 |
More 4.1, 4.2 Interiors, closures, boundaries |
Fri 3/1 |
More 4.2 |
3/4-3/15 |
Spring
break/Journeys/Peak week |
Mon 3/18 |
4.3 Bases |
Wed 3/20 |
Seminar day |
Fri 3/22 |
4.4 Continuity and
equivalence |
Mon 3/25 |
More 4.4, 4.5 Subspaces |
Wed 3/27 |
5.1, 5.2 Connectedness |
Fri 3/29 |
More 5.2, 5.3
Connectedness on the real line |
Mon 4/1 |
Seminar day |
Wed 4/3 |
5.4 Applications, 5.5 Path connectedness |
Fri 4/5 |
More 5.5, 5.6 Local
connectedness |
Mon 4/8 |
Catch up, review |
Wed 4/10 |
Exam #2 (take-home; no class meeting) |
Fri 4/12 | 6.1 Compactness |
Mon 4/15 |
More 6.1 |
Wed 4/17 |
6.2 Continuity |
Fri 4/19 |
Easter |
Mon 4/22 |
6.3 Related properties |
Wed 4/24 |
Seminar
day |
Fri 4/26 |
6.4 One-point compactification,
6.5 Cantor set |
Mon 4/29 |
More 6.5 |
Wed 5/1 |
Review, summary |