Not sure what universities you went to but that view is as far from the truth as it can be, at least for where i'm at (germany). I majored in CS myself but had a lot of friends in mechanical and electrical engineering. To say their fields revolve around a small number of vignettes is downright bizarre. I was never bad at math, but i gotta admit it got hard in CS along the way. However, the math the did in EE in the higher semesters to me was completely arcane. Like several steps above what we had to do in CS.
The grief factor of coding? Seriously? Load up a halfway decent IDE and have immediate feedback when you did something wrong, then tinker until it works and you can hand it in? It doesn't get any easier. Compare that to "drawing some boundaries and applying some equations" (over 10 sheets of paper), then noticing you made a mistake on page one and your results don't make sense... I'll take the "code grief" any day.
I don't mean to be snarky but you sound like a frustrated CS undergrad student that hasn't had to much exposure to the other fields you devalue so easily.