<p>I’m not sure where you’re getting your information. Use the method I told you about (US News World Report Rankings, national universities, regional universities, etc), then read the description for each, go to their website, etc.
Yeshiva isn’t part of Columbia and it’s not a college of engineering…</p>
<p>[Combined</a> Plan Program Admissions | Columbia Undergraduate Admissions](<a href=“http://undergrad.admissions.columbia.edu/apply/combined-plan]Combined”>Combined Plan Applicants | Columbia Undergraduate Admissions)</p>
<p>It’s not part of Columbia… This is what is called “3+2” - you get a totally separate experience on a campus, in a science/math major, then you “transfer” to Columbia from that college to finish your engineering degree. It also exists in 4+1 (more interesting in my opinion) from Bryn Mawr/Haverford and Penn. All of those plans are accessible in 4+2 with Columbia though.
You could attend Adelphi, Allegheny, Centenary of LA, Earlham, Eckerd, Elon, Loyola Chicago, Nebraska Wesleyan, Pacific Lutheran, St John Fisher, U Puget Sound, Ursinus, Wells, Willamette… and participate in the 3+2 with Columbia, without these universities to be part of Columbia and without attending a seriously faith-based university - although Loyola, Nebraska Wesleyan, Pacific Lutheran, St John Fisher …, are related to a religion, they do not require the deep faith commitment that Yeshiva (or others) require of their students.
(I picked those because they’re accessible with your scores, some would be matches and the others safeties)</p>