Math 301/601: Abstract Algebra I (Spring 2025)
There are six tests and two exams in the course. There will be six homework assignments. The first test will be based on the first homework, the second test on the second homework, etc. Except for Test 1, each test will be based on four days of class. Exam 1 will be based on the material covered on Tests 1–3 and Exam 2 will be based on the material covered on Tests 4–6.
On each homework assignment, there will be three types of problems: unmarked problems, problems marked with (*), and problems marked with (**). Tests problems will be closely aligned with the problems marked (*). The problems marked (**) are meant for students taking Math 601 (or for those looking for problems that are more challenging or that introduce new ideas). Exam problems will be closely aligned with the unmarked problems and the (*) problems. It is therefore imperative that you work through all homework problems.
Homework assignments will be updated after each class, adding problems motivated by the day’s lecture.
On test days, Math 601 students are required to turn in written solutions to the (**) problems. Math 301 students are not required to turn in written homework; however, those interested in receiving feedback on their proof writing may turn in written solutions to the (*) and (**) problems. (For instance, if you are contemplating math grad school, you should do this.)
It is highly recommended that written homework be written using the mark-up language LaTeX; this is how all mathematicians write math. An easy way to get started is to use the online system Overleaf. You can also have local installations (e.g., MacTeX on a mac), which I personally prefer.
You may discuss homework problems with your peers (or me), but the work you turn in must be entirely your own. There is a big difference between discussing and working on a problem with someone and writing the same exact solution. I should never see identical work. In the case your work is too close to a peer’s work or a solution on the internet, I will ask you to come to my office to give an oral presentation.
A portion of the problems will be computational in nature, but most of the exercises will require a formal proof. Proofs should be written in a clear logical fashion with complete sentences. Standard logical symbols are permitted, but they cannot entirely replace the written word. You should use my style as a guide. Do not turn in first drafts.
For each assignment, I will grade a single problem out of the problems turned in (you will not be told ahead of time which problem I will grade). This problem will be graded out of 4 points using the rubric below.
| Point | Qualifier |
|---|---|
| 4 | Complete, correct, and easy-to-follow solution (usually a complete proof is required). May contain a minor error. |
| 3 | Viable strategy present and understanding of problem is clear, but execution is incomplete; or correct argument present, but significant writing issue in presentation. |
| 2 | Attempt shows an understanding of problem and understanding of material but has not presented enough of a viable argument. |
| 1 | No viable argument, but some indication of a serious attempt. Possibly providing an example exhibiting understanding of the problem. |
| 0 | No serious attempt presented or a severe lack of understanding of the problem. |
This grade will be incorporated into your test grade.