Entering engineering from a social sciences background

Neither of those programs you recommended are designed for non-engineers, @peterquill.

Here’s what MIT’s SDM program says is required of applicants:

It’s very possible that Ms. Reeves took some supplemental classes in between her undergrad degree and graduate degree, or had some other special circumstance we’re not aware of.

I can’t find anywhere the Stanford MSE webpage says that applicants need only “have completed a course in differential calculus of several variables before applying.” Here’s what it says:

From here: https://msande.stanford.edu/admissions/graduate/ms-admission