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

Midterm Solutions

Week 07 notes

Week 06 notes

Week 05 notes

Week 04 notes

Week 03 notes

Week 02 notes

Week 01 notes