Calculus of Variations

5 credits

Necessary and sufficient conditions for a weak and strong extremum. Legendre transformation, Hamiltonian systems. Constraints and Lagrange multipliers. Space-time problems with examples from elasticity, electromagnetics, and fluid mechanics. Sturm-Liouville problems. Approximate methods. Prerequisite: MATH 224; MATH 327; and either AMATH 351 or MATH 207. Offered: W, odd years.