Calculus 3. Ok, I am having some trouble understanding exactly what is going on with these concepts. I think I get that line integrals represent the amount of work done moving a particle around a field, and that flux is the tendency of a particle to get pushed across a boundary (although not exactly the work DONE pushing that particle). Then there is curl and divergence.
These concepts are all presented together, and the formulas/theorems shouldn't be too hard to memorize, but I am having HUGE trouble distinguishing them because I don't understand what these concepts REPRESENT, i.e., WHY integrate the dot product of F and dr? For example, revolutions of solids was the distance from one boundary to the other used as a radius in the area of a circle, integrated from a lower boundary to an upper boundary. Easy to conceptualize. Can anyone break down the above concepts in a similar fashion?
Thanks in advance.
