Double and triple integrals in Cartesian, polar and spherical coordinates. Vector fields and the fundamental theorems of vector calculus developed, line and surface integrals, Green's theorem, ...
Topics include functions of several variables, partial derivatives, the gradient, multiple integrals; introduction to vector-valued functions and vector calculus, divergence, curl, and the integration ...
Higher-order derivatives. Taylor's theorem. Criteria for local minima/maxima. Differential vector calculus: Grad, div, curl. Identities. Levi-Cevita symbol (from 2011). Integration in vector calculus.