Math 445: Introduction to Topology I
University of Illinois at Chicago
About the final exam
The final exam will be held on Monday, December 7, 1:00-3:00pm in 204 Taft Hall
The exam will have a total of six problems, of which students will be required to complete any four.
The exam will be cumulative. There will be some emphasis on material covered since the first exam.
At least two of the problems on the final will be "very familiar", in the following sense:
- At least one problem will be taken from a previous homework assignment
- At least one problem will be a minor variation of a problem on the midterm exam
The length and difficulty of the final exam problems will be similar to those of the homework and the midterm exam.
After finishing our discussion of the Arzela-Ascoli-Frechet theorem and the compact-open topology, we will cover as many of the following topics as the remaining class time allows:
- The Hausdorff distance on subsets of a metric space
- Problem 45.7 in Munkres
- Section 7.1 in Sternberg
- Applications of the Hausdorff distance
- Construction of a space-filling curve
- The Baire Category Theorem and applications
- Sections 48-49 in Munkres
- Homework 1 is due Monday, August 31.
- Homework 2 is due Wednesday, September 9.
- Homework 3 is due Monday, September 14.
- Homework 4 is due Monday, September 21.
- Homework 5 is due Wednesday, September 30.
- Homework 6 is due Wednesday, October 7.
- Homework 7 is due Monday, October 19.
- Homework 8 is due Wednesday, October 28.
- Homework 9 is due Friday, November 6.
- Homework 10 is due Monday, November 16.
- Homework 11 is due Wednesday, November 25.
- Homework 12 is due Friday, December 4.