MATH 212 Multivariable Calculus

Calculus of functions of several variables, parametric curves and surfaces, and vector fields in 2- and 3-space with applications. Vectors, graphs, contour plots. Differentiation with application to optimization. Lagrange multipliers. Multiple and iterated integrals change of variable, and the Jacobian. Line and surface integrals. Vector analysis, Green's, Gauss', and Stokes' Theorems. Applications to physics economics chemistry and mathematics.