Math 5-345 Fall 2000
Math 5345 (Introduction to Topology)
MWF 1: 25 PM
Instructor: Professor Joel Roberts
by D.W. Kahn. Dover, 1995
Check this page regularly for important information about the class.
- Background material from set theory and logic.
- Metric spaces: open and closed sets, continuous maps.
- General topological spaces: basic properties.
- Compactness and connectedness.
- Criteria for metrizibility (including Urysohn's theorem).
- Quotient spaces, local compactness, complete metric spaces.
- Other topics as time permits.
- Learning to read, understand, and write proofs of propositions in
mathematics. This can be difficult if you havent previously taken
abstract math courses; therefore I will try to help you learn to do this
by giving appropriate feedback about the homework and by being available
to answer questions during office hours.
- Sophomore level math, including multivariable calculus
- Math 2283 or Math 3283 (Sequences, Series and Foundations)
[ or concurrent registration in that course ]
(If you took the honors version of sophomore calculus, then a lot of
the material from Math 2283/Math3283 may have been covered there.)
- Homework assignments:
About 2 assignments each 3 weeks, for a total of 10 assignments.
- A midterm test: Actual
date is Wednesday, October 25
Final exam:Tuesday, December 19,
1:30pm to 3:30pm
Grading policies (corrected October 12, 2000):
- The midterm test will count for 30% of the grade.
- The final exam will count for 40% of the grade.
- Homework will count for 30% of the grade.
- Late homeworkwill be accepted until the third class
meeting after the due date, but will notbe accepted after
We can, however, drop up to 2 missing assignments or the 2 lowest homework
- Exams must be taken on the scheduled date except for serious
emergencies, for example illness that requires medical attention.
Prompt notification is required.
- An Incomplete is given only when most of the required work for the
course has been completed with passing grades and there is a reasonable
expectation that the missing work can be made up.
Comments and questions to:
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