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With regards to Ivys, Cornell is your best bet for engineering, Princeton, and Yale not so much. And for aeronautical engineering, Stanford, MIT, Caltech. UT Austin, UI, Purdue, Georgia Tech, UMich., VirginiaTech. CMU and RICE are also excellent for engineering. Remember Ivy League colleges were never founded to be technical universities but Liberal Arts colleges that grew into research institutions with Graduate programs that have more specialties. Still excellent are RPI, WPI, and there are many I'm forgetting that are "Tech" or "PolyTechnical Institutes" like Cooper Union.