Classical variational problems; necessary conditions of Euler, Weierstrass, Legendre, and Jacobi; Erdmann corner conditions, transversality, convex Lagrangians, fields of extremals, sufficient conditions for optimality, numerical methods; applications to classical mechanics, engineering and economics. Recommended pre-requisites: a score of 68% or higher in one of MATH 301, MATH 320, or, a score of 80% or higher in MATH 319. [3-0-0]
Classical variational problems; necessary conditions of Euler, Weierstrass, Legendre, and Jacobi; Erdmann corner conditions, transversality, convex Lagrangians, fields of extremals, sufficient conditions for optimality, numerical methods; applications to classical mechanics, engineering and economics. Recommended pre-requisites: a score of 68% or higher in one of MATH 301, MATH 320, or, a score of 80% or higher in MATH 319. [3-0-0]
