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    University of North Texas
   
 
  Dec 17, 2017
 
 
    
2011-2012 Undergraduate Catalog [ARCHIVED CATALOG]

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MATH 3740 - Vector Calculus



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 , MATH 2730 .



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