The most important theorem we've learned is probably the First Isomorphism Theorem (since you said so in class :) ). In general, I think ideals are the most important thing we've studied, since they include almost all of the other things we've learned.
I expect to see problems on the test that are fairly similar to the ones we've done on the homework, but not identical. I like being asked to come up with something new rather than redoing problems I've already done.
I could use some more review of prime and maximal ideals, and some more work with ideals in general. This is both more recent and more difficult than the other things we've done in class.
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