Science - Course - Vector Calculus

Vector fields, differentiation of vector functions, the derivation as a linear transform, gradient of scalar function, inverse and implicit function theorem, directional derivative, divergence, curl, differential forms, linear integrals, Stoke’s theorem and Green’s Theorem with applications, orthogonal curvilinear coordinate systems, cylindrical, spherical and elliptic coordinate systems. Pre-requisite: MATH 241.