Anon I am a mechanical engineer. I graduated from Brooklyn Polytech with a Bachelors. I am trying to get my PE (already took the FE) and I am debating going for my MBA.
I love Math and its a career that drew me in. I work for Con Ed, so I dont work on “state of the art” stuff, but I like the classics (pumps, piping, heat transfer) etc which is what I am doing now. Con Ed is also a GREAT company to work for because they are really accomodating with Shabbos and holidays.
I took very few humanities courses and only one time did I come across something that I found non kosher. It was a history class and the professor was showing a french video. He told us there was some nudity in it (which being female didnt really bother me), but it turned out to be male nudity. Luckily, I was able to look away and not really see much (besides, the scene itself was disturbing).
I agree with you about being a less problematic degree, although I personally dont have problems with people learning things like literature that is not “torah mandated” as long as you know that you wont be influenced by it.
I think people avoid engineering because they dont like math, but I think once someone shows you how to apply mathematical theory in a way you can understand, math makes a lot of sense.