<p>Simply forgetting the formula for semicircle can’t bring your test score from 5 to 3.
Physics C (especially the first one and a half weeks) does not require finding the volumes of revolution or anything that usually causes trouble on AP Calc exams.
Although independent studies are a good way to show your self-discipline and willingness to learn, you can’t really prove that if you are a senior, besides sending a letter from a teacher saying that you are indeed self studying. But even that can’t assess or predict how well you learned/will have learned the material by the end of the school year, which is all that’s important.
If you do decide to apply, make sure you can provide the AdCom with some tangible evidence of your progress with independent studying. </p>
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<p>What if you accidentally forget, let’s say, Pythagorean Theorem during the Math IIC test and you get 650, instead of 800? You have to admit, 630 on SATI Math, 650 on Math IIC and a 3 on Calc AB will not count in your favor.
So, it will be a good idea to find some time to take some practice SATs and do well at least on Math section. (If you still want to apply, of course).</p>
<p>On the other hand, having a patent is a very nice thing. So is co-writing in a AWJ.
But all the impressive things you listed above would be even more impressive if you had higher SAT scores (regretfully). (Still can’t forget the fate of [url=<a href=“http://talk.collegeconfidential.com/showthread.php?t=130263]brian-mc[/url”>http://talk.collegeconfidential.com/showthread.php?t=130263]brian-mc[/url</a>] who built a nuclear fusion reactor at home, but was rejected by Harvard and MIT…)</p>
<p>That’s that :)</p>