<p>I am just finishing my first year at an engineering school with an applied math/physics dual degree. I chose this school for its scholarships and physics program, but found out that I prefer math to physics, and pure math at that. My school doesn't offer any advanced pure math courses beyond introductory analysis, and I'm really interested in abstract algebra, topology, and advanced linear algebra. Projective geometry/differential geometry are also interesting. The thing is, my school doesn't offer any of that at all, and the degree in math is as applied as it gets (basically all combinatorics, modelling, stochastics, probability, and differential equations, which I really don't enjoy). </p>
<p>I want to go to graduate school to get a masters or PhD in pure math in one of the subjects I mentioned, but I don't know if I can, coming from a school like mine. My family are first year immigrants from another country, so my parents didn't know they had to save up for college and don't have any money for me to transfer (hence why I chose the school for its scholarships in the first place). What chances do I stand of getting into any decent (state school or above) grad programs for pure math without all that background? Is there any source aside from the obvious scholarships for funding my transfer?</p>
<p>I applied and got into Rutgers, the University of Michigan, and I'm still waiting on the decision from the University of Washington at Seattle. So far, Rutgers would cost me $25k a year and Umich $31-41k a year.</p>