I am currently a freshman at the University of Houston as a Physics and Mathematics double major. From what I understand, UH isn't the most reputable university; however, I am dead set on doing whatever it takes to get into a top graduate school for anything Math or Physics related. My academic progress in college, so far, has gone as such: Prior to Fall 2011: Did relatively poorly in high school, But I got 5's on BC Calculus, both Physics C exams, Chemistry, and most of my core courses. Fall 2011: I got A's in Calc 3, University Physics Labs 1&2, Intro to Linear Algebra, and a B- in political science (ick!). I also was a private tutor for University Physics and Calculus 1-2. Spring 2012: I'm taking Differential Equations, Advanced Linear Algebra 1, Intermediate Analysis, and Modern Physics 1. I am also currently an Assistant Facilitator for a University Physics 1 Workshop. I am looking at a few research opportunities right now, but have yet to start. My current GPA is a 3.7, and my math-science GPA is a 4.0. Now, my inquiry is this: What exactly are good graduate schools expecting of their applicants, especially coming from a school like UH? Am I on the right track or are my priorities inconsistent with what is generally desirable? Any advice or validation I can get would be greatly appreciated.