When: MW 12:30 to 1:45
Where: Gavett 310

Instructor info

Name: Eric Hopper (webpage)
Office: Hylan 813
Office hours: Monday 4:30-5:30 and Tuesday 2:30-3:30 (starting Jan 17)

Course description

Review of set theory; metric spaces and topological spaces; functions and continuity; convergence, completeness, connectedness, and compactness; homotopy, covering spaces, the fundamental group, and applications to surfaces


J. R. Munkres, Topology, 2nd Ed., ISBN 0-13-181629-2.


Grades will be determined by computing the maximum of the following three weight distributions.

  Homework Midterm 1 Midterm 2 Final exam
Scheme 1 20% 20% 20% 40%
Scheme 2 20% 0% 30% 50%
Scheme 3 20% 30% 0% 50%


Both midterm exams will take place in class. The second exam is not cumulative, but many concepts from the second part of the course build upon those from the first. The final exam will be cumulative, but more emphasis will be placed on material from after the second midterm.

Midterm 1: Wednesday, February 15, in class
Midterm 2: Wednesday, March 22, in class
Final exam: Date and location TBD

Please let me know as soon as possible if you will have an excused absence (academic conference, athletic competition, etc.) on one the exam dates.


Weekly problem sets will include exercises from Munkres’ text as well as other sources or be written by the instructor. Problems will be posted no later than Wednesday on this page. Solutions are due at noon every Wednesday on Gradescope. Late homework will not be accepted without prior arrangement with the instructor.

Students may work together on the problem sets, but solutions must be written on your own without reviewing others’ work. The use of online solution guides, paid resources (e.g. Chegg), and forums (e.g. Math Stack Exchange) is prohibited. If you are struggling with a problem, please consult your classmates, come to office hours, or reach out to the instructor.

Disability support

The University of Rochester respects and welcomes students of all backgrounds and abilities. In the event you encounter any barrier(s) to full participation in this course due to the impact of disability, please contact the Office of Disability Resources. The access coordinators in the Office of Disability Resources can meet with you to discuss the barriers you are experiencing and explain the eligibility process for establishing academic accommodations. You can reach the Office of Disability Resources at (585) 275-3424 or visit Disability Resources.

Please note that to be granted alternate testing accommodations, you (the student) must fill out forms with Disability Resources at least seven days before each and every exam. These forms are not sent automatically. Instructors are not responsible for requesting alternative testing accommodations at CETL or making accommodations on their own.

Academic integrity

All assignments and activities associated with this course must be performed in accordance with the University of Rochester’s Academic Honesty Policy. More information is available at

Math Department policy on unauthorized online resources: Any usage whatsoever of online solution sets or paid online resources ( or similar) is considered an academic honesty violation and will be reported to the Board on Academic Honesty. In particular, any assignment found to contain content which originated from such sources is subject to a minimum penalty of zero on the assignment and a full letter grade reduction at the end of the semester (e.g. a B would be reduced to a C). Depending on the circumstances, this may apply even if the unauthorized content was obtained through indirect means (through a friend for instance) and/or the student is seemingly unaware that the content originated from such sources. If you have any questions about whether resources are acceptable, please check with your instructor.

College Credit-Hour Policy

This course follows the College credit hour policy for four-credit courses. This course meets 3 academic hours per week. Students may also be expected to deepen their understanding of the course material through close examination/evaluation of the readings assigned in the course.