MAT 233 Calculus and Analytic Geometry III 4 credits
This continuation of MAT 132 completes the three-semester calculus sequence. Topics include (but are not limited to) the development and discussion of functions whose domain and/or range involve multiple variables; vector-valued functions and their derivatives and integrals, including calculations of arc length, curvature, and velocity and acceleration along a curve; real-valued functions of several variables and their derivatives and integrals, including partial and directional derivatives, tangent planes, gradients, Lagrange multipliers and double and triple integrals with applications to mass and center of gravity; and conservative and non-conservative vector fields with associated line and surface integral calculations and Green's Theorem. (4 lecture hours) IAI: M1 900-3; EGR 903; MTH 903
Prerequisite: MAT 132