Is a question about how to overcome a particular difficulty I'm having with math appropriate? In particular, my difficulty is with applied math, and the question I wish to ask is as follows.
I have a pretty good grasp of logic. In pure math, everything seems logical (but not straightforward). People are explicit about what they mean, distinguishing between "A implies B" and "B implies A", for example. Thus, I can generally tell what's going on.
However, whenever I attend applied math lectures (think: vector calculus, differential equations, etc.), the "logic" of math suddenly becomes opaque. It's like they're just "doing stuff" on the board, and I lose all sense of how the statements relate to each other. Are they all equivalent? Are we proceeding by a sequence of implications? What's going on?
Does anyone else have this problem? And if so, what can be done about it?