Calculus of Functions of Several Variables

Undergraduate

Analytic geometry in three dimensions, using vectors. Real-valued functions of two and three variables, partial derivatives, gradient and directional derivatives, level curves and surfaces, maxima and minima. Parametrized curves in space, motion in space, line integrals; applications. Multiple integrals, with applications. Divergence and curl. The theorems of Green, Stokes, and Gauss. Prerequisite: MATH 1150 or 1160 , or placement into MATH 1200 on the Mathematics placement exam. May not be taken after MATH 1210 or after MATH 3020 . QR HTBA