445 - Introduction to Topology 1 - Spring 2020 - UIC
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Time: 1400-1450 MWF.
Place: Stevenson Hall 208.
E-mail: benjamin.antieau@gmail.com.
Course webpage: dantie1.people.uic.edu/202001-445.html.
Office hours: 10am-11am Mondays and 1pm-1:50pm Wednesdays in SEO 419.
Book: The course will use Munkres' Topology, 2nd edition, ISBN 0-13-181629-2.
The 1st edition is probably also fine, but you will be responsible for exercises from the 2nd edition.
Catalog description:
Elements of metric spaces and topological spaces including product and quotient spaces, compactness, connectedness, and completeness.
Examples from Euclidean space and function spaces. Course Information: 3 undergraduate hours.
4 graduate hours. Prerequisite(s): Grade of C or better in MATH 313.
Reading: all references are to Munkres' book unless specified otherwise. This schedule is tentative.
- Wk 1: Sections 12-14.
- Wk 2: Sections 15 and 18.
- Wk 3: Sections 16 and 17.
- Wk 4: Sections 20 and 21.
- Wk 5: Sections 22 and 23.
- Wk 6: Sections 25-27.
- Wk 7: Sections 28-29.
- Wk 8: Sections 30-32.
- Wk 9: Sections 33-34.
- Wk 10: Cancelled.
- Wk 11: Sections 51-52.
- Wk 12:
- Wk 13:
- Wk 14:
- Wk 15:
Homework:
- Due 01/22: 13.1, 13.3, 13.4, 13.6.
- Due 02/05: 16.1, 16.3, 16.8, 16.9, 17.3, 17.5, 17.6, 17.11, 17.13, 17.19, and 17.20.
- Due 02/17: 18.2, 19.7, 20.2, 20.5, 20.9.
- Due 02/24: 22.2, 22.5, 23.5, 23.11, 24.1, 25.4.
- Due 03/30: 26.1, 26.6, 26.8, 27.1, 27.4, 29.1, 30.4, 31.2, 31.3, 32.1, 32.3.
- Due 04/06: 51.2, 51.3, 52.1, 52.4, 52.5.
Evaluation:
- The final grade will be based on 80% homework and 20% for a take-home midterm, administered the final week of classes.
Late assignments are accepted only at my descretion and only with prior permission. One homework grade will be dropped.
- You are encouraged to work collectively on the homework, though your solution will be written up in your own words. You must cite any outside source you have used
in finding your solution and you must list your collaborators.
Miscellanea:
- If you wish to request an accommodation due to a disability, please contact the Disability Resource Center at +1-312-413-2183.
- Come to office hours!