In terms of curriculum you can cater your experience largely to be as quantitative/analytical as you would like. At Yale you can start taking your electives in the spring semester of first year and your entire second year is open as well -- so if you really want to take all the analytics courses at SOM and then take some in the engineering department as well (for example), have at it.
SOM has great entrepreneurship opportunities and you'll see a lot of recent health ventures coming out of Yale (look up the Yale Entrepreneurial Institute which SOM is very involved in as a university wide initiative).
You'll get access to the entire Yale network which is hard to beat. I've had great experiences in reaching out to alumni of the college and there's a university wide mentor ship program now as well as other ways to be involved across the university if you're so inclined.
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