MAT 215B: (Graduate) Topology





Course information

Class Meetings

CRN 41160
Lectures: MWF 1:10-2:00 pm, Hart 1116
(I will not be holding discussions for this course, but we have been allotted Bainer 1134 for Tuesdays, 9-9:50. We can use this space as needed.)

[MAT 215B Course Syllabus]

Edited 2.5.26: Midterm exam moved to February 20, 2026 per students' request

[MAT 215B Class Calendar]

The class calendar is my personal lesson planning calendar. Lesson plans are subject to change.

Course instructor: Melissa Zhang

Instructor Office Hours: MSB 2142, Tuesdays 1-2 pm and Thursdays 10-11 am.
See Canvas announcements for occasional modifications.

Textbook: Algebraic Topology by Allen Hatcher [Online Version]

Department syllabus for Mat215B: [link]

Homework

Homeworks are posted Saturdays and due Friday nights at 9 pm.

[HW05]

[HW04]

Edit 2.2.26: Fixed Exercise 3 so that you don't have to compute first homology of the Hawaiian earrings.

[HW03]

[HW02]

Edit 1.17.26: Added problem about chain homotopic maps inducing the same map on homology; removed problem about mapping cones (will be on future HW).

[HW01]

Edit on 1.15.26: minor notation change in Exercise 6.

Lectures and Materials

Week 05 notes

Week 04 notes

Week 03 notes

Week 02 notes

Week 01 notes