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Originally Posted by Mariogs37
2) If the classes are small enough at Brandeis I think it's possible to get meaningful recs. I don't think you have to take grad courses for this to happen; plenty of math majors go to grad school w/o having done grad work.
LOL -- without doing grad work or research? Almost none, I'd bet. The only reason I am giving the odds I am to your getting into a top 50 school is because you went an alternate route (via an I-Bank) and because your background is Brown (and either Brandeis, NYU, or Columbia). Your letters are for sure make-or-break for you.
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3) I mean, you're in the class. They'll write recs for you. That it doesn't go toward a degree doesn't impact ability to get a rec.
So you'd register for the class and pay for it, but you wouldn't be in a degree program? That is different than I was envisioning, which is just sitting in the class (and what I would do, personally -- though keep in mind that's not what I'm recommending for you).
Second of all, your "they'll obviously write me a rec" attitude is pretty laughable. If you're sure you can get a (good) rec, then that's fine. But let me be clear -- I've definitely turned kids down before telling them that I didn't feel I could speak to what the letter-readers were looking for. I mean I'll write
something for them, but I'll tell them flat out that it's going to be a middling letter because of XYZ and that I'd be happy to emphasize their strong suits such as ABC. If you're in my <pick-a-class> and get an A, I can speak to your ability to the clarity of your thought processes and your (proof-)writing and maybe as to your work ethic and whether you're a nice guy. I can compare those qualities to those of other students I've taught, even ones who've gone to grad school. But I can't give any indication of whether I think you'll succeed in grad school unless you've gone above and beyond and demonstrated an amazing intellectual curiosity. That means asking very good and deep questions, self-exploration and digging to get a deeper understanding of concepts, etc. This is something that mathematicians and scientists do instinctively, but it's not something that your random (even very good) student does.
And regarding my opposition to spending money: I see a lot of people who are really good at math and really good at research with amazing backgrounds coming from very good (grad) schools who are unable to land a reasonable job. By all means, spend the money and test the water. You were unhappy at the IBank, so give something else a shot. But if you end up doing this, you're talking minimum 5 more years before you're employed, probably 6, then probably 2-3 years more of post-doc before a TT job offer -- if you're lucky enough to get one -- and then what? 50k from Middle Tennessee State?
I think it's wonderful that you want to learn more mathematics, but I think your decision to jump into it as a career -- which is the only reason I could even fathom justifying 40k at Brandeis -- is incredibly premature. What happens when you decide it's not for you? 40k elsewhere for a post-bac in CS? Your post-bac doesn't give you any transferable skills. It ONLY gets you ready for grad school, and it doesn't even really do that IMNSHO.
Weren't you working your way thru Herstein? How is that coming?