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<p>What is wrong with University of Washington (less expensive for you, especially if you need financial aid) for this purpose? It has plenty of prestige overall and in math and physics, neither of which is as highly competitive a major to declare as computer science is there. Indeed, people go from universities as unselective as Arizona State University to top-ranked PhD programs in their major.</p>
<p>Remember that while popular conceptions of university prestige are based on the worst undergraduate students at the university (i.e. the undergraduate admissions selectivity setting the bar here), PhD program admissions are likely to see prestige in the strength of the department and the quality of the best undergraduate students in the major there.</p>