What do you think are the most important topics and theorems?
I think that the second theorem that we need to be able to prove on the exam is very important to know. This is because you can gather a lot of information about a problem and how to prove it by knowing the implications of this theorem.
I also think that the different group definitions are important to know. Knowing the definitions is a great tool on the test even if you did not memorize all the different types of examples of the groups, you can still find them if you know the definitions.
What kinds of questions do you expect to see on the exam?
I expect to see questions about the theorems that we are being asked to memorize. I expect to see questions about definitions of important concepts. I expect to see questions asking to prove something that was on the homework. However, I expect the test to be reflective of our homework and excluding those problems that were the most difficult on the homework.
What do you need to work on understanding better before the exam?
I need to review exactly what must be done on the test to prove that something is a (insert defintion). I need to go over the how to prove this, material for the test. Also, if possible, in class could you give us the exact numbers of all the theorems that we will have to prove, or should know. It helps me and other students better when we know the actual theorem number rather than what it is about.
Also, please do the sample problem, 5 in class. Thank you so much!!!
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