General information.
Homework is due every Monday and Thursday. Monday's work is due in class, and Thursday's should be deposited by 5 PM to the inbox of Prof. Orrison, located at 1280 Olin.Current and past assignments
The following is a list of assigned homework problems.TeX and pdf versions of assigned problems are provided via Martijn van Schaardenburg. Please inform the community of any typo's.
1. Due 9/8.
2. Due 9/11.
3. Due Mon. 9/15 : Symmetric, Matrix, and Quaternion Groups
4. Due Th. 9/18 : Homomorphisms and Isomorphisms
5. Due Mon. 9/22: Quotient Groups
6. Due Thu. 9/25: More Quotient Groups
7. Due Mon. 9/29: Lagrange's Theorem
Wed. 10/1: Exam 1
 Take home exam.
Distributed Wed. 10/1.
Due Mon. 10/6.
Rewrites Due on 10/6  HW 5
8. Due Thu. 10/2: The Isomorphism Theorems
9. Due Thu. 10/9: Rings
10. Due Mon 10/13: Examples of Rings
11. Due Thu 10/16 : Homomorphisms and Quotients
12. Due Thu 10/23: Properties of Ideals

Reading  (7.3), (7.4)
Problems  (7.3), 20, 24. (7.4) 7, 8.
Rewrites Due  HW 9.
hw12.tex  hw12.pdf
13. Due Mon 10/27: Properties of Ideals
14. Due Thu 10/30: Euclidean Domains
15. Due Mon 11/3: PID's
16. Due Thu 11/6: UFD's
17. Due Fri 11/14: Group actions

Reading  (1.7), (2.2), (4.1)
Problems  (4.1) 1, 7, 8, 10.
Rewrites Due  HW 13 and 14.
hw17.tex  hw17.pdf
18. Due Mon 11/17: Groups acting on themselves.

Reading  (4.2), (4.3)
Problems  (4.2) 8, 9; (4.3) 2, 5.
Rewrites Due  HW 15. (tentative)
hw18.tex  hw18.pdf
19. Due Thu 11/20: Sylow Theorems.

Reading  (4.5)
Problems  (4.5) 1, 4, 5, 17.
Rewrites Due  HW 16. (tentative)
hw19.tex  hw19.pdf
20. Due Wed 11/26: Sylow Theorems continued.
21. Due Mon 12/8: Applications of Algebra
Write 23 paragraphs on a particular application of abstract algebra in another field of mathematics (e.g., topology) or another discipline (e.g., chemistry). Your piece should be written as though it could be included seamlessly in a future edition of Dummit and Foote's book, and you must use at least one outside source.
For consistency and convenience, your piece should be written using LaTeX and the template found here. Lastly, please feel free to look at some of the applied algebra papers written by a previous class.
Wed. 12/1012/15: Exam 3
 Take home exam.
Distributed Wed. 12/10.
Due Mon. 12/15.
Note: We suggest that you at least skim the first ten problems in Section 10.1 and Section 10.2. Working through some of these problems should help build some confidence and momentum when it comes to grappling with the basics of modules.