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This is the syllabus for Math 461 in the fall of 2009. Math 461 is an introduction to topology, mostly point set topology, with an introduction to homotopy theory at the end.
The information found here is subject ot change; updates will be posted as needed.
Math 461 - Introduction to Topology - meets MWF 11:30-12:20, in White 324.
The first class is Monday August 24. The last class is Friday December 4. The final exam is Wednesday December 9, from 8:30 to 11:30, in a location that will be announced.
Prerequisites: Math 224
Textbook: Introduction to Topology, by T.W. Gamelin and R.E. Greene, published by Dover. It is required. Another inexpensive text which you may want to refer to is Topology, by J G. Hocking and G.S. Young, also published by Dover. It is not required.
Website: The website of the course, with links to the syllabus, calendar, handouts, hw assignments, office hours, etc., is
Description: Math 461 is an introduction to topology, beginning with point set topology of metric and general topological spaces, and then continuing with a discussion of homotopy theory and the fundamental group.
Grading: The bulk of the course grade (roughly 60%) will be determined by solutions to regularly-assigned homework problems. The remaining 40% of the grade will be determined by a mid-term exam and a comprehensive final exam. It is possible that a second mid-term exam will be scheduled.
Schedule: Here is a link to a calendar for the course.
Final exam: The final exam will be held Wednesday December 9, from 8:30 to 11:30, in a location that will be announced.
Homework: A set of homework problems will be assigned roughly once a week. Generally you will be given one week to solve these problems. Late work will be penalized. If you feel that you have made some progress toward a solution of a problem without completely solving it, you should turn in your work to receive partial credit. You are welcome to discuss the problems with each other (and with me), but any work you hand in must be your own. For instance, if two of you discuss a problem and the discussion leads to a solution, you should each write up the solution independently. You should acknowledge the fact if any substantial part of a solution came from another student.
Here is a link to the list of homework assignments.
Contact information:
The instructor is Michael Hurley.
Email: mgh3@case.edu
Phone: 216-368-2885. Generally, email is a better way to reach me than phoning. A message can be left for me on voice mail at the number above, or if necessary a message can be left at the department office, 216-368-2880.
Office hours: My office is Yost 307B; my office hours during the fall semester are
- Monday, 1:30 - 2:20
- Wednesday, 3 - 4
- Friday, 12:30 - 1:20
If you want to see me, don't feel that you have to wait for an office hour. Make an appointment, or just drop by.
Other links relevant to the course:
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