Chance of getting into top tier engineering program

<p>What I want: To get admitted into Mechanical or Aerospace Engineering PhD program at a top tier school (first choice Stanford, second choice MIT)</p>

<p>Where I'm at: I will be a 5th year undergrad this fall at University of Illinois at Urbana-Champaign. Im double degreeing in Aerospace Engineering and Applied Mathematics. My GPA currently is 3.60. I have two more semesters before graduating. Will most likely graduate with 3 graduate level math courses under my belt.</p>

<p>I dont have GRE scores because I haven't taken it yet.</p>

<p>Rec letters will come from 2 professors who ive worked summers for, and 1 from a graduate math class where I got an A+ in.</p>

<p>What are my chances for either MIT or Stanford PhD prog?</p>

<p>Thank you very much</p>