For me, the big thing I got out of Philosophy 101: Introduction to Logic, was the survey of logical fallacies. It's hard to say with certainty (being that I can't remove what I learned so as to test this), but I think it helps you put your finger on the problem when some idiot is jerking off instead of presenting a valid argument.
Formal logic is math, but is a formalization of arguments rather than numbers. It's not about burdening you with weird notations. Think of it more as a shorthand or an abstraction so you don't always have to deal with some arbitrary background story, e.g., "All green blocks are square." It's a tool, not the focus. The number of symbols to learn isn't bad.
I was a BS:CS with a math minor. There was some overlap, but overall I do not think taking that class was a waste of time. If I could redesign my coursework, I would include it again. But I did sort of like that professor--that may bias me a bit.
edit: This is only coming from my personal experience: that single course. Obviously your course won't be identical. I don't know what else you could get out of philosophy courses. I suppose there are softer subjects, ethics, whatever. But I assume you've read the course descriptions already.