>>12989036>>12990493I actually just graduated with a degree in math, and I was really puzzled by vector calc, and to a lesser extent, by differential equations.
I took calc 3 like 5 years ago, and I honestly though it was easy as shit. I didn't really take any science courses or applied math courses after that, but I took a bunch of math: stat I & II, discrete math, logic, linear algebra, euclidean & non-euclidean geometries, abstract algebra, topology, real analysis, and complex analysis.
Mainly for scheduling reasons and other interesting classes that I wanted to take, I didn't take vector calc or diff eq until my last semester. I honestly thought they would be easy as shit, because these are very computational subjects, and I passed both classes, and did well on the finals, but only because I studied like fucking crazy. Vector calculus, especially, was crazy hard. The textbook were not rigorous enough. A lot of the notation was not formally defined, and I was never taught any sort of algorithm for finding bounds of integration.