1. Due Mon. 9/4: Groups

Reading — Section 1.1, Communicating Mathematics through Homework, and Prof. Su's Advice.
Problems — (1.1) 25, 26, 27, 33.
Rewrite Due 9/18 — Remember to attach your original assignment under your rewrites, and that any rewritten solution must be fully rewritten.
2. Due Thu. 9/7: Dihedral Groups

Reading — Section 1.2.
Problems — (1.2) 2, 3, 4, 5.
Rewrite Due 9/21.
3. Due Mon. 9/11: Symmetric Groups

Reading — Section 1.3.
Problems — (1.3) 1, 2, 10, 11.
Rewrite Due 9/25.
4. Due Thu. 9/14: Matrix Groups and the Quaternion Group

Reading — Sections 1.41.5.
Problems — (1.4) 10, 11(ab). (1.5) 1, 2.
Rewrite Due 9/28.
5. Due Mon. 9/18: Homomorphisms

Reading — Section 1.6.
Problems — (1.6) 13, 14, 16, 23.
Rewrite Due 10/2.
6. Due Thu. 9/21: Group Actions

Reading — Section 1.7.
Problems — (1.7) 4, 17, 18, 19.
Rewrite Due 10/5.
7. Due Mon. 9/25: Subgroups

Reading — Sections 2.12.2.
Problems — (2.2) 4, 9, 10, 14.
Rewrite Due 10/9.
Note: This is the last assignment you will be able to rewrite and resubmit.
8. Due Mon. 10/9: Lattices of Subgroups

Reading — Section 2.5.
Problems — (2.5) 1, 4, 5, 8.
9. Due Thu. 10/12: Quotient Groups

Reading — Section 3.1.
Problems — (3.1) 40, 41, 42, 43.
10. Due Mon. 10/23: Cosets

Reading — Section 3.2.
Problems — (3.2) 4, 18, 19, 20.
Note: Make sure to read Exercises 9, 16, and 22, and think about how might you solve those problems.
11. Due Thu. 10/26: The Isomorphism Theorems

Reading — Section 3.3.
Problems — (3.3) 3, 4, 8, 9.
12. Due Mon. 10/30: Group Actions

Reading — Sections 4.14.2.
Problems — (4.1) 2, 3. (4.2) 4, 8.
13. Due Thu. 11/2: More Group Actions

Reading — Section 4.3.
Problems — (4.3) 6, 23, 24, 25.
14. Due Thu. 11/9: Rings

Reading — Section 7.1.
Problems — (7.1) 7, 14, 15, 16.
15. Due Mon. 11/13: Important Examples

Reading — Section 7.2.
Problems — (7.2) 7, 9, 10, 13.
16. Due Thu. 11/16: Ring Homomorphisms and Quotient Rings

Reading — Section 7.3.
Problems — (7.3) 21, 26, 28, 29.
17. Due Mon. 11/20: Properties of Ideals

Reading — Section 7.4.
Problems — 4, 7, 8, 10.
18. Due Wed. 11/22: Applications of Abstract Algebra
Write a 34 paragraph lively vignette 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 our textbook, and you must use at least one outside source that is not a website.
For consistency and convenience, your vignette should be written using LaTeX and the template found here. (Word or other kinds of documents are fine tooI just want a clean looking document in the end.) To submit your vignette, please email me a PDF copy by 5:30 PM on Nov. 22. And don't hesitate to stop by and chat about possible topics!