Abstract Algebra
This course is an introduction to groups, rings, and fields, with an emphasis on examples.
- Instructor:
Mahrud Sayrafi<mahrud at ...> - TA:
Kieran Bhaskara<kieran.bhaskara at ...> - Textbook:
Abstract Algebra: Theory and Applications
Available for free download in English and Spanish. - Supplementary (bedtime) reading:
- “Groups and Symmetry” by M. Armstrong.
- “A Book of Abstract Algebra” by C. Pinter.
- “History of Abstract Algebra” by J. Gray.
- Prerequisites:
Mathematical Reasoning (MATH 1C03), and
Linear Algebra (MATH 2R03 or a grade of at least B in MATH 2LA3) - SimpleSyllabus: official course outline.
- Avenue to Learn: announcements and course
- 👉 How to get an A in this class! 👈
| Class | Title | Schedule |
|---|---|---|
| MATH 3GR3 (#1808) |
Abstract Algebra (Lecture) |
MoWe 11:30 - 12:20 Fr 13:30 - 14:20 |
| (#1809) | (Tutorial) | We 13:30 - 14:20 |
Fall 2025 Office Hours:
- Instructor: (all in HH 414)
- Monday 1:30-2:00
- Friday 1:00-1:30 (before lecture)
- And by appointment.
- TA:
- Wednesday 1:00-1:30 and 2:30-3:00 (before/after tutorial), Math Cafe
- Thursday 2:30-3:30, HH 410
Schedule
The topics are tentative and may be adjusted. The section numbers refer to sections in the textbook.
| Date | Topic | Notes |
|---|---|---|
| September 3 | Introduction | Proof Writing Diagnostic Quiz |
| September 5 | §1.2 | |
| September 8 | §1.2, §3.1 | Bonus points for Sonobe platonic solid |
| September 10 | §3,1, §3.2 | Last day to add/drop |
| September 12 | §3.2 | |
| September 15 | §3.3 | |
| September 17 | §4.1 | |
| September 19 | §4.2 | |
| September 22 | §5.1 | |
| September 24 | §5.1 | |
| September 26 | §5.2 | |
| September 29 | §6.1 | |
| October 1 | §6.2 | Test #1 on groups, during tutorial |
| October 3 | §6.3 | |
| October 6 | §9.1 | |
| October 8 | §9.1, §9.2 | |
| October 10 | §10.1 | |
| October 13 | No class | Mid-term recess |
| October 15 | No class | Mid-term recess |
| October 17 | No class | Mid-term recess |
| October 20 | §10.2 | |
| October 22 | §10.2 | |
| October 24 | N/A | Midterm Exam |
| October 27 | §11.1 | |
| October 29 | §11.2 | |
| October 31 | §13.1 | |
| November 3 | §16.1 | |
| November 5 | §16.2 | |
| November 7 | §16.3 | |
| November 10 | §16.4 | |
| November 12 | §17.1 | |
| November 14 | §17.2 | |
| November 17 | §17.3 | |
| November 19 | §18.1 | Test #2 (tentatively), during tutorial |
| November 21 | §18.2 | Last day to withdraw |
| November 24 | §21.1 | |
| November 26 | §21.2 | |
| November 28 | §21.3 | |
| December 1 | §22.1 | |
| December 3 | §23.2 (not on final) | Last day of class |
| December 9 | Final Exam | Time: 9am-11:30am, Location: TBA |