2) We were basically exploring theorem 8.30 before right? I also love the chart on 281... it is very helpful to break it down in order to understand basically what each group is isomorphic to and why. I feel like it is a good way to conclude our exploration of groups.
For the test:
- Which topics and theorems do you think are important out of those we have studied?
As far as MOST IMPORTANT, I think it is the ones that you asked us to know how to prove on the previous midterm exams. And just knowing the characteristics of groups and rings.
- What do you need to work on understanding better before the exam? Come up with a mathematical question you would like to see answered or a problem you would like to see worked out.
I need to work on this last stuff that we have been studying. I definitely feel like it is the most difficult. I feel like my understanding is about 2 feet deep in a 20 foot pool!
#23 in 8.2 in the second edition. Unless you feel like this won't help us that much with understanding this latter material. I am not really sure what problems will help me to gain a better understanding for the final.
- What have you learned in this course? How might these things be useful to you in the future?
I think this class has really taught me how to prove something logically (identify my end goal, use the info given in the assumptions to get there, create a strategy, and go). I am so grateful for this, because I don't fear proofs like I used to. It makes me feel a little more comfortable and ok with the idea of theory of analysis in the fall. When we studied rings, I felt like I better understood basic characteristics of the different sets that we work in and the reasons why things work or don't work in algebra - I feel like that is definitely something that I can use as a teacher.
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