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2014-2015 Graduate Catalog 
    
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MAT 775 - Calculus of Variations

Credits 3

Variation of functionals, Euler-Lagrange equation, general variations, broken extremals, Weierstrass-Erdmann conditions, canonical forms, Noether’s theorem, Hamilton- Jacobi equations, Legendre’s condition, conjugate points, fields, E-function, sufficient conditions for extrema, Pontryagin’s principle, introduction to linear and non-linear optimal control theory.

Prerequisites
MATH 428 or 658 or consent of instructor.