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<p>I understand if Caltech would be more convinced by math/science ECs existing, but to be perfectly honest (as I’ve posted before), I myself didn’t do anything organized in terms of math/science ECs in high school, and I’m quite, quite certain I display a lot of interest in mathematics. Everything I did was informal. </p>
<p>Now, to the OP, while I can’t comment how Caltech would have perceived my profile, I do know a friend who is into electrical engineering, who does a lot of work with EE stuff on his own time, and had been doing stuff since he was 10. He just really liked that stuff. He had very high test scores, was a very good student (though didn’t pad his GPA or anything) and didn’t make it into Caltech, while others from his school did. I think one of the key things was he didn’t do anything organized or highly documented, because he’s had more experience with EE than anyone else his age that I know. He’s a pretty good writer, but who knows what his essays said. </p>
<p>This individual ultimately ended up at school with me at Berkeley, and is doing swell. So keep all your options open, but do apply to Caltech and try to make your case as best heard as you can in your essays. I know someone else with not very much in terms of math/science involvement out of school, with very high grades and test scores, and a little more of an application whore, from same school as aforementioned individual who got accepted to Caltech – kind of a waste, because he declined the offer, almost predictably. </p>
<p>There are lots of great schools for math/science/engineering that you should be careful to apply to, given many will take you just for your good stats. However, whether they’ll have the environment you’re looking for is another story. Also look into Harvey Mudd – may or may not be for you.</p>
<p>Certainly look into schools like Berkeley and UMichigan – very good for both math and engineering, and public schools will tend to accept at a very high rate students with perfect SATs, 4.0 GPA and first rank in their classes. But with such great stats, definitely don’t give up on Caltech without giving your essays serious thought and effort, and actually sending in your application.</p>