"MBA is more of a place to socialize, not to 'study' things, right?"
What? Go take a financial statements analysis class and then tell me how MBAs don't "study" things. There are certainly ways to coast through an MBA program, as there are ways to coast through many things. Simply because MBAs don't have to go through the mathematical rigor that an engineer or physicist does does not mean there is NO rigor or requirements necessary to attain an MBA. There are many vacuous, over-confident, arrogant MBAs out there, but that is part of the human condition not simply inherent in those who go earn MBAs.
This broad (and widely inaccurate) characterization of hundreds of thousands of people is mind-boggling.
Not to sound arrogant, but I took a few MBA courses which included Enterprise Finance and Operations Management. There is some rigor to the courses, and I found the finance class in particular interesting and applicable. However, the level of difficulty was at least one order of magnitude below the engineering courses I had taken, when compared EE & Physics courses. Aside from some term memorization the math was really easy and "coasting through" was definitely possible if you're used to stuff like semiconductor physics.
I agree - an MBA is not engineering, and many in my class would have been unable at that stage to finishing 3rd year engineering mathematics. A few of us had engineering backgrounds though, and some very deep at that.
However there is (usually) a deliberate effort to overload students with volumes of work, so that they can figure out how the real world works and work in teams.
Also in my MBA course students had a minimum of quantitative work they had to do, and if they wanted they could dive deeply into the more serious mathematics in certain courses. It was part of the expectations that people who were more technical or more experienced in one area would help out those who had less experience, and vice versa.
Engineering mathematics is not for everyone, and indeed not required for every MBA graduate, but it certainly helps for the more quantitative courses. And finance at one school can differ wildly from finance at other schools. Look for the professors. Look at the courses people take.
But also look at the culture. Some universities are focussed on the money, others, like Yale, on much wider impact in business and public service.