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May 13, 2024
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2018-2019 Catalog: Undergraduate, Graduate, and College of Law [ARCHIVED CATALOG]
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MATH 3740 - Vector Calculus3.0-3.0
3740. 3 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 2700 and 2730.
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