Mar 28, 2024  
2012-2013 Undergraduate and Graduate Catalog 
    
2012-2013 Undergraduate and Graduate Catalog [ARCHIVED CATALOG]

MATH 3740D - 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 2700D  and MATH 2730D .