# Allowed questions - overcoming a particular difficulty I'm having with mathematics.

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?

• I think you have a rather unusual notion of what applied math is. – Michael Greinecker Mar 2 '13 at 13:54
• Agreed with MG. If I had to guess, you probably have a fuzzy AM professor (he might be well-meaning, but a bad lecturer). My lectures in this topic were as strict as the better pure math ones I sat in. – gnometorule Mar 2 '13 at 15:55
• @MichaelGreinecker How would you define applied math? And what should I call the sort of math that I'm having trouble with, if not "applied"? – goblin GONE Mar 2 '13 at 21:40
• Vector calculus and differential equations fall under the umbrella of "analysis". – Antonio Vargas Mar 2 '13 at 22:39
• @user18921 These fields may have an applied flavor the way they are taught at your institution, probably because they are widely used in areas such as engeneering and not taught with mathematicians as the main audience in mind. Applied math does usually refer to applications of mathematics to other fields. Arguably, the term is not overly useful though. – Michael Greinecker Mar 4 '13 at 7:21