I'm making the jump from math ed to pure math. I've done a bit more than the usual math-for-teachers stuff and my advisor is convinced I can pull it off, but if I sound nervous, this is why. I know what to review and study up on before fall semester for two of my classes but I'm at a loss for the third, Mathematical Statistics. The official prerequisite is first semester analysis; the textbook is Hogg, McKean, and Craig. I do not know the professor and am not sure if asking him about this would make the wrong first impression. It's been a while since I had prob and stat but I think I remember the ideas and will get a reference for formulas and re-memorize the ones that come up. Analysis, though, was supposedly mashed into my calculus coursework; I know (or at least think I know?) that the difference between intro calc and analysis is rigorous reasoning from first principles about the number system, but what I am not sure about is how analysis applies to mathematical statistics as a prereq. If it's just to make sure the students have met axiomatic reasoning and proofwriting before, I'll be OK; I like that sort of thing (and as a result am getting an A in the summer class my advisor told me to take to test my proofwriting skills). On the other hand, if there are specific topics I need from analysis, I'm at a bit of a loss as to which ones. I have about two weeks relatively clear and would like to be as prepared as possible by the time the semester begins. If anyone can suggest optimal topics to study, I will owe you cookies.