I love bunnies.
Math 401 (Spring 2026)
- Lectures: MW 11:45am-1pm, Gross Hall 304B
- Office hours: Thu 11:45am-1pm, Fri 2pm-3:45pm, Physics 274E, or by appointment
- Textbook: Algebra (2nd Ed.) by Michael Artin
- Email:
danielle.wang@duke.edu
- Gradescope
Syllabus
See syllabus document.
Problem sets
Midterm 1
Monday, February 9
Midterm 2
Monday, March 30
Final Exam
Friday, May 1
Schedule
Here are notes which will be updated as we progress.
- Jan 7: 2.3, 2.7, 2.9
- Jan 12: 1.5, 2.1-2.4, 2.11
- Jan 14: Dihedral group, 2.5, 2.6
- Jan 21: 2.8, 2.11
- Jan 26: 2.10, 2.12
- Jan 28: 2.10, 6.7, 6.8
- Feb 2: 6.9, Burnside’s lemma, 6.11
- Feb 4: 7.1, 7.2, 7.3
- Feb 11: 7.4, 7.5, conjugacy classes in A_5
- Feb 16: 7.7 Applications of Sylow theorems
- Feb 18: 6.10, 7.6, 7.7 Proof of Sylow theorems
- Feb 23: 11.1, 11.2, 11.3
- Feb 25: 11.3, 11.4
- Mar 2: 11.4, 11.5, 11.6
- Mar 4: 11.7, 11.8
- Mar 16: 11.8, prime ideals
- Mar 18: 12.1, 12.2
- Mar 23: 12.3
- Mar 25: 14.1, 14.2, 14.7 Statement of structure theorem
- Apr 1: 15.1, 15.2, 15.3
- Apr 6: 15.4, 15.6, 15.7
- Apr 8: 15.8, 16.1, 16.2
- Apr 13: 16.4, 16.5, 16.6
- Apr 15: 16.7, 16.8
- Apr 20: 16.8, 16.9, 16.10
- Apr 22: 16.11, 16.12