Welcome to MATH 4210/5210: Abstract Algebra I, this Fall 2025!
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Schedule
The final exam will be on Tue, Dec 16 at 6:30pm in the usual classroom (two hours long)
Week 11 (Tue, Nov 18)
Week 10 (Tue, Nov 11) No class this week
Week 9 (Tue, Nov 4)
Beginning of class: Exam 2 (until TBA), see study guide
- Due on Tuesday, Nov 4 at the beginning of class: HW08
(There is no Overleaf assignment the Friday after Exam 1)
- Topics to cover: Chapter 10 (Group homomorphisms and first isomorphism theorem)
Week 8 (Tue, Oct 28)
- Due on Tuesday, October 28 at the beginning of class: HW07
Due on Friday, October 31 at 11:55pm online: Typesetting Project 06
- Beginning of class:
- Class notes day 7 and 8: Ch 9. Topics covered during class: The rest of Chapter 9 (Quotient groups and internal direct product)
Week 8 (Tue, Oct 21)
- Due on Tuesday, October 21 at the beginning of class: HW06
(No Overleaf assignment due this week. TP06 due date has been moved to next week)
- Beginning of class:
- Topics covered during class:
- Chapter 8 (External Direct products) and Chapter 11 Fundamental theorem of finitely generated abelian groups, Class notes day 7: Ch 8
- Beginning of Chapter 9 (Normal subgroups), Class notes day 7 and 8: Ch 9
Week 7 (Tue, Oct 14)
- Due on Tuesday, October 14 at the beginning of class: HW05
Due on Friday, October 17 at 11:55pm online: Typesetting Project 05
- Beginning of class:
- Class notes day 6. Topics covered during class: Chapter 7 (Cosets and Lagrange’s Theorem)
Week 6 (Tue, Oct 7)
Beginning of class: Exam 1 (until 7:45pm), see study guide
- Due on Tuesday, October 7 at the beginning of class: HW04
(There is no Overleaf assignment the Friday after Exam 1)
- Class notes day 5. Topics covered during class (after the exam, starting around 7:45pm): Properties of isomorphisms, automorphism group, and inner automorphism.
Week 5 (Tue, Sept 30)
- Due on Tuesday, September 30 at the beginning of class: HW03
Due on Friday, October 3 at 11:55pm online: Typesetting Project 04
- Beginning of class:
- Class notes day 4. Topics covered during class: Complex numbers (from Chapter 2 Example 15), Cayley diagrams again (part II), Chapter 10 (homomorphism, first two pages only), and Chapter 6 (isomorphisms).
Week 4 (Tue, Sept 23)
- Due on Tuesday, September 23 at the beginning of class: HW02
Due on Friday, September 26 at 11:55pm online: Typesetting Project 03
- Beginning of class:
- Class notes day 3. Topics covered during class: Chapter 4 (cyclic groups behave like Zn or Z) and Chapter 5 (Permutation groups)
Week 3 (Tue, Sept 16)
- Due on Tuesday, September 16 at the beginning of class: HW01
Due on Friday, September 19 at 11:55pm online: Typesetting Project 02
- Beginning of class:
- Class notes day 2. Topics covered during class: Chapter 3 (order, subgroups), and parts of Chapters 0 (modular arithmetic) and 30 (Cayley diagrams, Part I)
Week 2 (Tue, Sept 9)
Take the Welcome survey
Due on Friday, September 12 at 11:55pm online: Typesetting Project 01
Class notes day 1. Topics covered during class: Chapters 1 (Intro to groups) and 2 (Groups) of Gallian
After Ch 1 lecture: Group quiz 1 Symmetries of a regular triangle (D3)
Week 1
- No class this week because Fall courses start on Wednesday