- notes (part 1, including fundamental group, covering spaces, CW complexes).
- notes (part 2, including homology).

- Path
lifting for the exponential map p: ℝ → S
^{1}used to define winding numbers. (Actually, the animation shows the exponential map from a strip to an annulus.)

**Final**. I have posted the final
at https://go.math.illinois.edu/rezk525.
Due at 11:59pm, Thursday, May 14.

**Midterm 2**. I have posted the midterm
at https://go.math.illinois.edu/rezk525. It was due (on learn.illinois.edu) Monday
before class. Here
are solutions.

- 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.
- Homework 7. Due W 8 Apr. Submit on moodle.
- Homework 8. Due F 17 Apr. Submit on moodle.
- Homework 9. Due W 6 May. Submit on moodle.

Last modified 11 May 2020 by Charles Rezk. Email: rezk@illinois.edu