Applied Math Undergrad to Pure Math Grad

<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>

<p>If you can’t afford to transfer see if you can do
<a href=“https://www.budapestsemesters.com/”>https://www.budapestsemesters.com/&lt;/a&gt;&lt;/p&gt;

<p>If you are Pell Grant eligible you can apply for a Gillman Grant.</p>

<p>Outside scholarships for transfers are not readily available. You needed to apply to colleges that give them.</p>

<p>Thank you for the information BrownParent. I’ve seen those study abroad math programs and they are very interesting, although my family does not have the money to pay for them (another interesting one I found, similar to BSM, was Math in Moscow).</p>

<p>This is a bit contradictory, but I’m not eligible for the Pell Grant because my parents make over $100k a year. They just cannot afford to put me through school because they are in debt for nearly $200k in mortgages, and are putting my older brother through university with their retirement money. I applied to UMich because none of their scholarships are closed off to transfers and they consider the CSS profile (which I’ve heard is more lenient than FAFSA).</p>

<p>So given this, what can I do? Alternatively, can I get into any decent pure math grad programs coming from where I am? I really appreciate your help.</p>