University of South Florida 3 credits MAS
Vector-valued functions of several variables, gradient, divergence and curl; polar, spherical and cylindrical coordinates; surface elements, multiple integration on surfaces and volumes; divergence, Green’s, and Stokes’ theorems; manifolds, vector fields and exterior forms; differentials and elements of homotopy theory. Applications to related areas, including Gaussian fundamental forms and curvature, Maxwell’s equations of electrodynamics, potential and harmonic analysis, Hamiltonian mechanics. Course Attribute(s): 6AM - State Computation Requirement, 6AMT - Gordon Computation Requirement, 6AMT - State Computation Requirement Prerequisite: MAC 2313 OR MAC 2283 (min grade C)
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