MAT 213 Calculus III (4 credits)
Vector geometry in R2 and R3; polar coordinates; introduction to the calculus of vector-valued functions (velocity, speed, acceleration, curvature, parametric equations); differentiation of functions of several variables (partial derivatives, the differential, chain rules, directional derivatives); applications of differentiation (linear approximation, optimization, the method of Lagrange multipliers); integrals of functions of several variables; applications of integration. Also, if time permits, cylindrical and spherical coordinates; some surface integrals; the Change of Variable theorem. Course fulfills the GEP and GER Mathematics Requirement.
Prerequisite: a grade of C or better in MAT 162 or permission of department chairperson.