I'm currently a 3rd year undergrad majoring in math/physics. I was admitted to my university through an honors program due to outstanding high school achievement (my university is a large public one, moderately well known in the US) with several scholarships.
But after my first semester, I fell back into a recurring bout of severe depression, and did not get help. My grades ended up tanking that next semester (C average). I thought I had overcome it by my second year, but soon developed psychosis and could no longer focus on studying; I neglected my health and hygiene, and I couldn't even get up some mornings to get to class. None of my professors are aware of my situation.
I finally sought help last spring and I've been doing better (keeping up with work, getting better grades, etc), but I feel like nothing will ever make up for those two years of mediocre grades. My overall GPA right now is sitting around a 2.5. I feel like while this is possible to explain away, I'm reluctant to divulge information about my severe mental illness to admissions because there is still a lot of stigma associated with it. I've seen mixed answers as to whether or not it's a good idea to do.
My question is, is there still a way for me to pursue applied mathematics in graduate school? Is graduate school aiming too high? And if so, do I talk about my limitations as far as my health is concerned?
I love math, and love learning. I've done a few practice Math Subject GRE exams, and they were fairly easy (as long as I study for the parts I'm not 100% on, of course). I've also done a few small math projects with grad students and I've worked in a lab since I was a freshman; I feel like I'm passionate enough about the subject to succeed but I'm afraid admission committees will not look past my GPA to see that and wouldn't risk having someone like me in their program.
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