Due March 2, 2016

• Which topics and theorems do you think are the most important out of those we have studied?
• first isomorphism theorem
• rings/homomorphisms,isomorphisms,fields, etc.
• ideals

• What kinds of questions do you expect to see on the exam?
• Lots of definitions that we need to give (similar to the last exam), problems like the homework but not crazy hard, and proofs.

• 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 in class on Wednesday.
• What is kernal again, how can we find it and why is it important?
• For an integral domain, why do we need to specify that 1 does not equal 0.  Same thing with field?
• For number 3 on the practice problems, how do we do injectivity?
• How can we know for sure that we have an irreducible polynomial?  What are the most important things to know about polynomial rings?
• HOW DO YOU PROVE AN IDEAL IS MAXIMAL?!
• Can we go over examples on the study guide?