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I just joined this community today after browsing the forums here for a few weeks. I was hoping that perhaps someone could help me out in my situation. I am a graduate student in Mathematics going for an MS in Mathematics. I attended classes last Fall, but left the program on Medical Leave half-way through the Semester and I just returned this Fall.

I have a very tough Analysis course with a great professor who expects perfect rigor in the proofs. I have been struggling enormously to obtain any semblance of a decent grade. My problem set scores are usually 12/20 or so and my first Exam was a 23%. The problem is, however, that I put in tons of time to the material. And I don't use the time inefficiently. I see the professor often and get tips on how to best study the material. The problem lies in trying to come up with proofs to the Theorems/Problems. We use the Rudin book by the way.

It seems like each proof requires at least one major step that seems to come out of the thin air. I mean, it is logically sound, but it is something so abstract that I don't know how I would think of it on my own. And even replicating it is hard. I cannot seem to remember the 'tricks' in the proofs for the life of me. So that is why I do poorly on both Problem Sets and Exams. Now, I do have a factor going against me. I suffer from a severe form of Bipolar Disorder and am taking multiple medications for it. One of them, an antipsychotic drug Zyprexa (Olanzapine) is widely considered one of the most sedating agents on Earth (literally), and its effects on the memory are devastating. However, I know from having this illness for many years, that Zyprexa is the only drug that truly keeps my symptoms at bay. I have tried at least a dozen other medications, none of which have prevented relapses.

Strangely, I have an A average in my other class, Vector Spaces (graduate linear algebra). However, that professor is pretty lenient IMO. But most other students in my Analysis class are doing at least B-level work.

I am scared, because I do not want to be expelled from the Program for doing poorly in this course. This is already my second time taking it (remember I took it last Fall...) so it is not really a matter of not being good at proofs. It is clear to me that it is the medication that is severely limiting my ability to think abstractly and to remember important things.

What tips would you give me to do better. I am already meeting with the professor very often. The other students either don't want to help me or don't have the time to help me, and I have tried many different studying techniques.

I have an Exam tomorrow, for which I have been studying for, pretty much non-stop, since Saturday (although I have technically been studying for it since the LAST exam). So let me know if you have been through a similar thing or just have any ideas for me.

Thanks.