I’d absolutely add Stanford to the list. The application is long/intense, but a terrific environment (both STEM but also outside of STEM). Berkeley could also be a good reach, Purdue, as well.
URM woman interested in STEM? With those stats? I think a lot of reachy schools might be in play, if you are interested and the fit criteria work. I will say I have seen similar profiles do well with Princeton, which does have a strong ME program.
Interjecting to say those only focusing on career prospects for engineers at Ivies are being short sighted. There is considerable social capital to having gone to one of those schools, and it truly follows you for the rest of your life.
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Her list seems balanced.
Without knowing more and having only skimmed this thread, to avoid any “what ifs”… look at:
Cornell
Tufts
WashU
Rice
Cal poly SLO
Michigan
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I have been a proponent of prioritizing fit over prestige on a few other threads, and I still believe fit is important. That said, it is possible to have both, and the OP’s daughter has made the effort to consider schools with a higher likelihood of admission. So here is where we say, why not take your shot? Don’t be shy, see what recognition your accomplishments can receive.
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For what is missing that she might regret not at least exploring, look at WPI, Olin, and Virginia Tech.
For the prestige factor, Princeton and Duke.
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Thanks for all of the suggestions. As mentioned, she has a good list that checks off all of the boxes. Based on your replies, I will ask her to consider one moon shot from the names surfaced.
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My daughter’s Purdue Engineering freshman roommate, from a rural Indiana town, had Algebra 2 Senior year.