ACM723 Calculus of Variations

[3–0, 3 cr.]

Topics covered are: Necessary conditions (Euler-Lagrange equations, Weierstrass condition, Jacobi equation, conjugate point theory, etc.), sufficient conditions (field of extremals, conjugate point theory, convex Largangians, etc.), Hamiltonian equations (least action principle, canonical transformations, Noether theorem, etc.). Prerequisite: ACM701.