Final

1. Which topics and theorems do you think are important out of those we have studied?
 Um... I think that everything we've talked about since the last exam will be pretty important... It seems like the base for everything we have done in this class is knowing the definitions of groups and rings and using those definitions to prove different types of results. So, I'd say that knowing those definitions along with the theorems with names will be pretty darn important.

2. What do you need to work on understanding better before the exam?
Cauchy's Theorem. OMG, I have reviewed that thing four or five times since that day in class, and it still gives me nightmares and makes me want to cry.

3. How do you think the things you learned in this course might be useful to you in the future?
The things I have learned from this class, cheesy but true, are the importance of doing readings and homework before class because it really helps with understanding concepts explained in class. As I mentioned before when I did the reading I was able to listen more closely to things that seemed confusing during the reading, rather than trying to learn something during class and having more questions during homework. I also learned about proof techniques. While I still don't feel completely comfortable writing them on my own, I definitely got in the hang of using "If" statements to prove "then" statements and carefully examining definitions to help with the proofs.