I'm probably unreasonably holding a (mild) grudge here, but every time I get a spam email from Wisconsin Engineering asking for donations (no matter how many times I mark these emails as "unsubscribe and report spam", they somehow manage to keep singing me up for more lists that evade Gmail's spam filter), I think about the year of my life they made me waste to fulfill a bunch of pointless requirements and don't really feel compelled to donate.
I ignored prereqs and took interesting classes in math and computer engineering for two years. I then went to the departments to see if they'd let me graduate without taking intro classes (I'd fulfilled the advanced class requirements). Math had no problem with this but Eng made me take classes like e-mag I even though I'd already taken a grad-level courses that use e-mag, like diode lasers and VLSI CAD interconnect. They also made me take calc II despite having taken grad level math classes.

@danluu A major contributor to me majoring in math and not economics is that the math department was great about letting me move ahead, and the econ department was not. So I took advanced econ coursework, but never took like intermediate micro or anything, and didn't wind up with a minor.

(There are definitely requirements that would have been useful to take in there, too, but I didn't want to deal with them if I had to go through too many intro courses I already knew.)