MATH 2210 - Multivariate Calculus: Calculus III

Credits: 3

This third course in the calculus series extends differential and integral calculus to functions of several variables. Topics include vector-valued functions, multivariate limits, total, partial, directional derivatives, gradients, optimization with critical points, the second derivative test, and Lagrange multipliers. Students also study multiple integrals, including Fubini’s and Change of Variables theorems, line and surface integrals with key theorems such as Green’s, Divergence, and Stokes’s. Applications can include curvature and torsion of smooth curves, moments, and centers of mass. The course emphasizes conceptual understanding, proof, and problem-solving skills, preparing students for more advanced study in mathematics/applied sciences.

Prerequisite: Within the last year, MATH 1220 with a grade of C or better
Semesters Offered: All

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