YOUR FUTURE: WHAT TO DO TO GO BEYOND VECTOR CALCULUS ---------------------------------------------------- The obvious next 3 topics to learn (in any order - you should now be ready for any of these) are * Linear algebra is about matrices instead of just vectors. A huge area. recommend books: Golub & Van Loan: Matrix computations Horn and Johnson: Matrix analysis * Calculus of variations instead of functions of, say, 3 variables, how about functions of an INFINITE number of variables (such as: a "function of a function") and how to optimize THEM (such as, by choosing a function of x, which is the best possible curve in the world for some purpose). * Differential equations - this is pretty much single variable calculus again, but rates of change of various things are related by "differential equations" and you want to solve them to find out what is going on. recommend book: Ince: Differential equations, Dover.