Academic Catalog 2021–2022

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MTH206 Calculus IV

[3–0, 3 cr.]

This course covers the Fourier series, cylinders and quadric surfaces, vector-valued functions, arc length and the unit tangent vector, curvature and the unit normal vector, torsion and the binormal vector, partial derivatives and applications, the chain rule, directional derivatives, gradient vectors, tangent planes, linearization and differentials, extreme values and saddle points, Lagrange multipliers, triple integrals, triple integrals in cylindrical and spherical coordinates, integration in vector fields, line integrals, circulation and flux, potential functions and conservative fields, the Fundamental Theorem of Line Integrals, Green’s theorem, surface integrals, parametric surfaces, Stokes and divergence theorems.

Prerequisite: MTH201 Calculus III