MATH 655 - Calculus of Variations

Credits: [3]

Description: Classical calculus of variations, the simplest variational problem, examples, variation of a functional, the Euler-Lagrange equations, the isoperimetric problem, constrained variational problems, Legendre’s condition, Jacobi necessary condition, connection between Jacobi condition and the theory of quadratic forms, the field of a functional, Hilbert invariant integral, Weierstrass E-function, Riccati differential equation, Noether’s theorem, the principle of least action, conservation laws and the Hamilton-Jacobi equation.
Course ID: 055308
Components: Lecture
Grading Method: A-F, Audit