Week | Monday | Wednesday | Friday |
1 | Apr 3: 1.1
Metric spaces |
Apr 5: 1.3
The real line |
Apr 7: 1.4
Product spaces |
2 | Apr 10: 1.2
Completeness |
Apr 12: 1.2
Baire's theorem |
Apr 14 [1]: 1.5
Compactness |
3 | Apr 17: 1.5
More on compactness |
Apr 19: 1.6
Continuous functions |
Apr 21 [2]: 1.7
Linear spaces and operators |
4 | Apr 24: 1.8
Contraction principle |
Apr 26
Leeway/Review |
Apr 28 [3]
Midterm |
5 | May 1: 2.1
Topological spaces |
May 3: 2.2
Subspaces |
May 5 [4]: 2.3
Continuous functions |
6 | May 8: 2.4
Base for a topology |
May 10: 2.5
Separation axioms |
May 12 [5]: 2.6
Compactness |
7 | May 15: 2.7
Locally compact spaces |
May 17: 2.8
Connectedness |
May 19 [6]: 2.9
Path connectedness |
8 | May 22: 2.10
Finite product spaces |
May 24: 2.12
Infinite product spaces |
May 26 [7]: 2.11
Tychonoff's theorem |
9 | May 29
Memorial Day |
May 31: 2.13
Quotient spaces |
Jun 2 [8]: 3.1-2
Homotopic paths |
10 | Jun 5: 3.3-4
Fundamental group |
Jun 7: 3.5
Covering spaces |
Jun 9 [9]
Leeway/Review |
[n] Assignment #n due
The final is at Tuesday, June 13, 11:30-2:30 a.m (exam code 04), in MS 5138.
Note this schedule may change slightly as the quarter progresses, due to lecture overruns or other Acts of God.