MATH 204

This course focuses on vector calculus and power series. The course consists of two major parts. The first part addresses Green’s theorem, Stokes’s formula and the divergence theorem (Gauss’s formula), including vector fields, line integrals, conservative vector fields, divergence and curl, parametric surfaces, and surface integrals of vector or scalar fields. Applications include computing the mass flow rate, the surface area of a parametric surface and the volume of a three-dimensional body via Stokes’s or Gauss’s formula. The other part of the course deals with power series, their convergence, and their use in approximating functions via Taylor’s theorem.