[throwayEngineer]

Math is being able to do logic with numbers.

I've tried creating my own math as an engineer, it's possible, but I also know every attempt I've made failed at finding something new.

My point is, we learned a lot about numbers in engineering school.

[colossal]

Yes but physics != engineering. You really need very minimal higher math to do engineering work. As far as I know, at my school the furthest engineers go is a course in vector calculus, ODES, baby linear algebra and simple probability. None of which would be really be considered higher math. In contrast, physics needs complex variables, Pdes and most students take at least a group theory class.

[throwayEngineer]

Is there something about those topics that don't follow logic?