That's actually a good question -- I only know of one course for sure at Carnegie Mellon, which is for undergrads in statistics:
36-402, Undergraduate Advanced Data Analysis (2013)
Check out this
midterm, which is posted on the site. That's what a good assignment in the social sciences should look like: here's a problem, here's a data set, now go use what you learned and write a paper with your analyses and findings.
I actually heard about
this homework assignment, which came out around the time when a mistake made by two Harvard economists made it into the popular press. Basically, they failed to drag their Excel formula all the way down; once you fix that, their findings change significantly. (Oh yeah, their research was cited by policymakers in Europe for their austerity measures -- whoops.) Turns out that there was much more wrong with the analysis, and that assignment showed undergrads how to do it properly. Spoiler alert: the entire effect goes away and, in some cases, more debt actually leads to more growth. And that's why you don't skip statistics classes... or use Excel for your analysis.
Helps that all the professor's lecture notes are written like a book and available as a PDF free of charge, so a lot of people outside of Carnegie Mellon use it to teach themselves. The perk of being a grad student or professor is that you can just stop by your stats department and there's someone who will take the time to help you out if you get stuck. And the thing with stats is that if you use it, you should continuously refresh your understanding and learn new tools. Some of the directed acyclic stuff in the last chapters of his book is based on publications from 1-2 years ago and lets you do really cool stuff with respect to establishing causality (a huge problem in economics). The computing power to do that just wouldn't have been available even 5 years ago, whereas now you can just create your farm on Amazon and the sky's the limit.
So I figured I'd be save with up to 5 universities, because I really can't think of more than one and have not heard about a similar class offered elsewhere.