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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.