Math 671 Course Info
Course Meets: MWF
10:10-11:00 in LGRT 1234
Michael Sullivan, LGRT 1544, 545-1909
Office Hours: M 12:10-1:00 W 1:15-2:30 and by appointment at other times M and \
F. (On Monday and Friday I teach 10:10-12:05. I also have a seminar Monday 2:30\
-3:30. I usually leave by 4 or 4:30pm. I meet with my two PhD students
as well but their meeting times are adjustable. You need to email me
to make sure I will be in.)
Prerequisites: Advanced calculus
Credit: 3 credit hours
James R. Munkres, 2nd edition, Prentice-Hall 2000.
Below are some links for buying the text at reduced price:
Barnes and Nobles.
Algebraic Topology by Allen Hatcher.
This text can be legally downloaded for free at
Hatcher's website. We will only use Chapter 1 on the Fundamental Group.
The goal of this course is to cover point-set topology
and begin algebraic topology (fundamental
group). This course is the basis of the Topology Basic Exam
for PhD students in the Department of Mathematics and Statistics.
Syllabus (tentative, may need to be adjusted):
(1) Topologies and continuity: Sections 12-22 of Munkres.
(2) Connectedness and compactness: Sections 23-29 of Munkres.
(3) Completeness: Sections 43, 45, 46 of Munkres.
Fundamental Group: Sections 1.1, 1.2 of Hatcher.
(5) Covering spaces: Section 1.3 of Hatcher (hopefully).
(6) Countability and Separation axioms: Sections 30-33 of Munkres
(hopefully, but not likely).
There will be a midterm and final exam, both of which will be modeled on the
Topology Basic Exam.
Midterm: Monday October 18 7-9pm, LGRT 101. Closed book.
Last Exam: Wedsnesday December 8 7-9pm, LGRT 1234. Cumulative. Closed book.
The grade for the course will be determined by timely-completion
of about TBA homeworks, as well as the two exams.
But there will be NO excuses for late or missed homeworks.
The Homework will determine 35% of your grade.
The midterm will be worth 25-30%, and the final exam will be worth 35-40%.