As far as I can tell, most of the "major" universities offer one CS course (sometimes two) on software engineering but no degrees (e.g. Berkeley, Stanford, MIT,

As far as I can tell, most of the "major" universities offer one CS course (sometimes two) on software engineering but no degrees (e.g. Berkeley, Stanford, MIT, Princeton, UIUC, Cornell). CMU, UT, and UW are the few prestigious schools that I could find that explicitly offer a Master's in Software Engineering (but no undergrad degrees, certainly). Other than that, Georgia Tech offers an undergrad certificate (3 classes). Berkeley apparently has an online program for a Master of Molecular Science and Software Engineering, wherein you mostly take chemistry classes along with one data science course and one CS course.