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May 13, 2024
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2016-2018 Undergraduate and Graduate Bulletin (with addenda) [ARCHIVED CATALOG]
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MA-UY 4634 Vector Analysis4 Credits Brief review of multivariate calculus: partial derivatives, chain rule, Riemann integral, change of variables, line integrals. Lagrange multipliers. Inverse and implicit function theorems and their applications. Introduction to calculus on manifolds: definition and examples of manifolds, tangent vectors and vector fields, differential forms, exterior derivative, line integrals and integration of forms. Gauss’ and Stokes’ theorems on manifolds. | Offered in the spring.
Prerequisite(s): A grade of C or better in MA-UY 4613 . Also listed under: MATH-UA 224 Vector Analysis Weekly Lecture Hours: 4
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