Welcome to MATH 4210/5210: Abstract Algebra I, this Fall 2024!
For the most up-to-date content, please refresh the page at each visit!
Schedule
Midterm exam (week 8): Wed, Oct 23 and Final Exam: Wed, Dec 18, both at 6:30pm
Week 7 (Wed, Oct 16)
- Collected Homework
- Due on Tuesday, October 15: Homework 06
- **First draft due on Monday, October 14 if you want feedback so that you can make corrections
Recommended practice problems (do not submit): practice_week07.pdf and selected solutions practice_week07sol.pdf
- Beginning of class: Quiz 06
Week 6 (Wed, Oct 9)
- Collected Homework
- Due on Tuesday, October 8: Homework 05, Homework 05 solutions
- **First draft due on Monday, October 7 if you want feedback so that you can make corrections
Recommended practice problems (do not submit): practice_week06.pdf and selected solutions practice_week06sol.pdf
- Beginning of class:
- Class notes week 6: Groups of complex numbers, introduction to homomorphism and isomorphism
Week 5 (Wed, Oct 2)
- Collected Homework
- Due on Tuesday, October 1: Homework 04, Homework 04 solutions
- **First draft due on Monday, September 30 if you want feedback so that you can make corrections
Recommended practice problems (do not submit): practice_week05.pdf and selected solutions practice_week05sol.pdf
- Beginning of class:
- Class notes week 5: Corollaries of cosets Lagrange’s theorem; more on Dihedral groups; minimal generating set and Cayley diagram
Week 4 (Wed, Sept 25)
- Homework
- Due on Tuesday, September 24: Homework 03, Homework 03 solutions
- Recommended practice problems (do not submit): practice_week04.pdf and selected solutions practice_week04sol.pdf
- Beginning of class:
- Class notes week 4: Symmetric group, even and odd permutations, cosets and Lagrange’s theorem
Week 3 (Wed, Sept 18)
- Homework
- Due on Tuesday, September 17: Homework 02
- Recommended practice problems (do not submit): practice_week03.pdf
- Beginning of class:
End of class: Group quiz 3
- Class notes week 3: law of exponents (proof using induction), cyclic group and its Cayley graph
Week 2 (Wed, Sept 11)
- Homework
- Due on Tuesday, September 10: Homework 01
- Recommended practice problems (do not submit): practice_week02.pdf
- Beginning of class:
End of class: Group quiz 2. Only half of the planned questions were handed out, see full list of questions in practice_week03.pdf
- Class notes week 2: symmetry group of regular polygons (dihedral groups) Dn, symmetric group Sn, two types of groups coming from integers modulo n, Cayley table, direct product of groups, subgroups
Week 1 (Wed, Sept 4)
Take the Welcome survey
class notes week 1: mattress group (from Group Think by Steven Strogatz) and Judson Section 3.2