Welcome to MATH 4210/5210: Abstract Algebra I, this Fall 2025!

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Schedule

Finals week

The final exam will be on Tue, Dec 16 at 6:30pm in the usual classroom (two hours long)

Week 15 (Tue, Dec 9), day 13

• Due on Tue, Dec 9 at the beginning of class: HW12

• (No Overleaf assignment this Friday)

• Beginning of class:
  • Quiz 09
• Topics to cover: Statement of first isomorphism theorem for rings (Ch 15), group action, review for final exam

Week 14 (Tue, Dec 2), day 12 (snow day)

• Due on Tue, Dec 2 at the beginning of class (moved to Dec 9): HW11

• (No Overleaf assignment this Friday)

• Beginning of class:
  • Quiz 09, moved to Dec 9
• Topics to cover: Finish Ch 14 (quotient rings, maximal and prime ideal)

Week 13 (Tue, Nov 25), day 11

• Due on Tuesday, Nov 25 at the beginning of class: HW10

• (No Overleaf assignment this Friday)

• Beginning of class:

  • Quiz 08

  • Topics covered during class:

    • Finish Ch 13 Class notes day 10 and 11: Ch 12 and 13
    • Started Part I (ideals) of Ch 14 Class notes day 11: Ch 14 Part I ideals

Week 12 (Tue, Nov 18), day 10

• Due on Tuesday, Nov 18 at the beginning of class: HW09

• (No Overleaf assignment this Friday)

• Beginning of class:
  • Quiz 07
• Topics covered during class:
  • Chapter 10, second part (first isomorphism theorem), Class notes day 9 and 10: Ch 10
  • Intro to rings (Ch 12), integral domains and fields (Ch 13), Class notes day 10 and 11: Ch 12 and 13

Week 11 (Tue, Nov 11) No class this week

• (There is no Overleaf assignment this Friday)

Week 10 (Tue, Nov 4), day 9

• Beginning of class: Exam 2 (6:30-7:30pm), see study guide

• Due on Tuesday, Nov 4 at the beginning of class: HW08

• (There is no Overleaf assignment the Friday after Exam 1)

• Class notes day 9 and 10: Ch 10. Topics covered during class: Chapter 10, first part (Group homomorphisms) which is background for first isomorphism theorem

Week 9 (Tue, Oct 28), day 8

• 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:
  • Quiz 06
• 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), day 7

• 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:
  • Quiz 05
• 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), day 6

• 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:
  • Quiz 04
• Class notes day 6. Topics covered during class: Chapter 7 (Cosets and Lagrange’s Theorem)

Week 6 (Tue, Oct 7), day 5

• 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), day 4

• 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:
  • Quiz 03
• 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), day 3

• 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:
  • Quiz 02
• 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), day 2

• 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:
  • Quiz 01
• 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), day 1

• 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