Math 525 (Rezk, 1:00 MWF, 347 Altgeld Hall).
Here is the syllabus.
The main text is Hatcher.
There are other references available online, such as:
All videos of online lectures (prerecorded and live) are available
I'm going to post sections of my lecture notes from time to time, once
I decide they are not nonsense. Note that these are written first for my
benefit, and sometimes are a bit cryptic or omit details.
Here are some illustrations/animations of topics we've seen.
lifting for the exponential map p: ℝ → S1
used to define winding numbers. (Actually, the animation shows the
exponential map from a strip to an annulus.)
Midterms. Provisionally, on 26 Feb and 15 Apr. (Let me know if
these are bad dates for you.)
The final is in class, at a time to be announced. It will be based
on previous comps exams for Math 525. Old
comps exams can be
(Before 2005, the course was called "Math 430". Older exams may
have questions about de Rham cohomology of subsets of the plane;
this topic isn't in the syllabus anymore, so you can ignore these.)
- Homework 1. Due F 31 Jan.
- Homework 2. Due F 14 Feb.
- Homework 3. Due M 24 Feb.
(Problem (4a) changed. Note change in due date.)
- Homework 4. Due M 2 Mar.
- Homework 5. Due F 13 Mar (note
change of due date). Small revisions made W 11 Mar.
- Corrections to midterm: hand in corrections with original exam,
to get 0.5 credit back up to 80%. Due F 13 Mar.
- Homework 6. Due M 30 Mar.
Submit on moodle.
Last modified 24 March 2020 by Charles Rezk. Email: