Can someone give me analogies for each of these? I know the standard ones so try to be creative. I just received an A- in Calc IV and these words are KILLING me (moreso Curl and Div than Flux, as I'm close to understanding those and I've no idea what flux is). It would help if you gave examples in the context of Stokes' theorem and the Divergence theorem. I have a fairly good grasp on the ideas of the surface integrals of scalar/vector fields (though I prefer vector). btw, by Stokes' theorem, I suppose I mean Kelvin-Stokes theorem (the curl theorem). Stokes' theorem, as it's stated on wikipedia (I know, I know... it's all I have) makes sense as the generalization of the familiar fundamental theorem of calculus. p.s. In doing research in order to properly post this, I think I understand flux as the amount of whatever to move through a surface per unit time (ambiguous). This definition seems to restrict my understanding to 3-space and I'd like a more general one... if possible. Thank you edit: and, I realize this is a lot and some of you are probably wondering how I passed at this point, but I also am not sure of the explicit meaning of "conservative vector field". I know a bit about what that implies, but not exactly what it means. thanks again.