Math 189B. Rumbos Fall 2019

Special Topics

1. Minimal Surfaces: Plateau's problem

2. The Euler-Lagrange Multiplier Theorem

3. Isoperimetric Problems: The Isoperimetric Inequality

4. Optimal control problems

5. Applications to Mechanics: Hamilton's principle

6. The direct method in the Calculus of Variations: computational approach (finite elements, Galerkin's method, etc.)

7. Applications to Economics

a. Maximizing utility

b. Non-cooperative games

c. Nash equilibria

8. Eigenvalues of Sturm-Liouville boundary value problems

9. The Dirichlet Principle