Cornfed Hick
Ancient Mariner
It's a way to calculate the incalculable. For example, think of the logic problem that if you start at one end of a room and go halfway to the other side, and then go halfway of the remaining distance, and then go half the distance again, and then again, and again, and so forth, you never actually reach the other side. But you get VERY close. Using calculus, you can calculate the length of the room by summing the results of each halfway trip, as the distance to the opposing wall approaches (but never actually reaches) zero. This seems silly when trying to measure a straight line, but it is the only way to calculate the area of an irregular curved shape or volume of a curved space, i.e., very complicated functions. Essentially, you measure the area of a bunch of tiny squares (because squares are easy to calculate area) that fit within the shape, as the number of squares increases toward infinity and the area of each square approaches zero. To calculate the volume of a space, you use cubes instead of squares. And that's just BASIC calculus. As I learned it, I couldn't help thinking that it was amazing how people figured this stuff out, and how remarkable and elegant the universe is, that this stuff really works.