Origin=Goal, Which department switched your app? I recall there was a section in the application form for Columbia, asking whether you'd like to be considered for another department...
Hey, I am also from Istanbul but I went to school in the US (for college). I'd say one could possibly live with that money under certain conditions but if I were you I would definitely find a job on-campus - a job that pays weekly.
Congrats indeed!
Pelin