This course considers differentiation and integration of functions of several variables with special emphasis on two and three dimensions. Topics include partial differentiation, extreme value problems, Lagrange multipliers, multiple integrals, line and surface integrals, Green’s, Stokes’, and Gauss’ theorems. Linear algebra (MATH 027 or MATH 028) is required as a prerequisite. Students may take only one of MATH 033, MATH 034, and MATH 035 for credit.