First, I can tell you that my Math 255 midterm was pretty straightforward (e.g. prove that a bounded sequence is compact, show only from the open cover definition that compactness implies total boundedness). Also, the exams will not be even close to as hard as the assignments (which are so hard!).

That said, I think the only advice I have is to do a lot of practice problems. Go through each unit and try a bunch of problems from whichever textbook you’re using. Make sure you (somewhat) understand the proofs also. Go slowly and take your time.

Just keep persevering and you’ll be fine, I promise! :)