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Premed isn’t a major. What are you planning for a your major?
Case is a small(er) private university located in a big city with a 11:1 student faculty ratio. UMich is a large public university located in a smaller college town with a student-faculty ratio of 15:1.
For our family, the elite academic reputation, especially for my kid’s major and minor, one of the best college towns and B1G sports were important factors.