Difficult: It is difficult for me to understand when something is isomorphic.
Interesting: I think it is interesting that they had us prove Corollary 9.31 in the homework of 9.3 and now here it is as a corollary in 9.5.
Which topics and theorems do you think are important out of those we have studied?
Cauchy's Theorem, First Isomorphic theorem. Pretty much the ones that were on the midterms.
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 definitely need a big review just on every thing that we did at the beginning of the semester with rings and fields.
What have you learned in this course? How might these things be useful to you in the future?
I have learned how important it is to know how things came about in mathematics. This will be helpful in the future when I am teacher and have my own students and I will be able to study more the mathematics I am teaching and give them a proof of how/why that particular math concept is.
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