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, ...
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.