the level of math usage depends on the type of engineering. I struggled in school with math, it isn't my strong point in the least. I found another degree within the School of Engineering (Texas A+M) that unfortunately they don't offer anymore. It was a hands-on Engineering degree, very similar to the degrees given before the 60s "science crisis" caused most major universities to force their engineers into becoming math majors.
I took less math, but business, machine shop, communications. I never took calculus and just like most of my friends who DID take it, have never used it. Understanding the underlying principles is one thing, rote memorization of derivation is another.
I find that engineers that take a lot of math, and unfortuantely that means most "standard" ciricullum engineers lack communication skills, abstract and critical thinking and mental flexibility far to often. Often that's more of a function of the personality type, but they need communications skills desperately!
If you want to really challenge the average engineering student, make them do a major presentation to non-engineers and keep them from falling asleep. 100 people in the audience and 10 points off for each person that nods off in a 30 minute presentation. Public Speaking 101.
Engineering students should be REQUIRED to take speech, business law, and other classes that will tend to give them exposure into areas that can have more impact on what they do that calculus ever will in most cases.
Is there a place for the higher math? Absolutely. Is it necessary for all engineers to take it? Absolutely not.
fwiw, since graduating in 1977, I have had titles including Industrial, Manufacturing, Mechanical, Product Engineer among others. As well as all of those with Manager after it. Not having calculus hasn't hurt me. In fact, my flexibility has kept me employed thru dozens of layoffs, where the less flexible were the first ones discarded.
An engineer that can't communicate and understand his role in the overall scheme of things is useless no matter how "smart" he/she may be.