I am having a hard time relating work, potential energy and kinetic energy with my knowledge of calculus. I have a feeling that it somehow relates to gradients, is that correct? If so; how would you relate gradients to those concepts? And why is it that now derivatives are being taken with respect to position as opposed to time? If position doesn't change with respect to time, couldn't I just specify that? I can do all the calculations because I have my notes with some equations, but I want to understand those concepts in a more general setting. Also, how much calculus is needed to achieve an understanding of all of classical mechanics in a general fashion? I din't know any calculus when I first learned about velocity, acceleration, forces, etc (high school). And now I realize how much clearer your perspective of physics can be with an intuitive knowledge of calculus. But I've only been as far as gradients. Should I take a look at double integrals, curl, gradient fields and the like? Am I gonna run into those later in my undergraduate classical mechanics course? Which, by the way, is completely based on calculus. Thanks!