Difficult: So do alternating groups A_n have order 3n?
Reflective: Corollary 8.28 could have been helpful on the last homework. And 8.31.
I think any named theorem is important out of what we've studied. I also think general knowledge of rings, groups and quotient rings/groups are fundamental to whatever will show up on the test.
I need work on polynomial rings in general. Like the proof of Theorem 5.11 would be great. I don't see any sample problems including polynomials (which I like), but if you're planning on sneaking one in, I'd like to see a similar example :).
In this course I learned how to do mathematical proofs. To be honest, I probably won't use this much after I graduate next week, but it has helped me stop feeling like I was a complete failure as a math major. I thought I would go my entire college career and not figure out what every math major is expected to be good at, and I felt so defeated. But I finally became able to do it this semester, and this class helped immensely. I can now proudly say I graduated in Math instead of feeling like I just scraped by the entire time. So that's pretty huge.
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