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Sep 27, 2024
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2014-2015 Undergraduate and Graduate Catalog [ARCHIVED CATALOG]
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MATH 3740D - Vector Calculus3 hours Theory of vector-valued functions on Euclidean space. Derivative as best linear-transformation approximation to a function. Divergence, gradient, curl. Vector fields, path integrals, surface integrals. Constrained extrema and Lagrange multipliers. Implicit function theorem. Jacobian matrices. Green’s, Stokes’, and Gauss’ (divergence) theorems in Euclidean space. Differential forms and an introduction to differential geometry. Prerequisite(s): MATH 2700D and MATH 2730D .
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