I'm teaching myself calculus III off of various websites including wikipedia. However, I don't know exactly where to begin. I've started by looking at the partial derivative and parts of vector calculus. My calculus learning so far has been: Calc I: Limits Basic and complicated single-variable differential calculus (chain rule, power rule, et cetera. Differentiation isn't hard.) Basic single-variable integral calculus (power rule, et cetera) Calc II: Infinite limits, sequences and series. (Taylor series, power series, et cetera) Improper integrals, work as an integral, integration by parts, all three rotated volume integration, introduction to conical sections, and introduction to polar/parametric/vector calculus. So what would most colleges teach after this in calc III?