Part 1

23/1, 10-12 (MH:333) Lecture 1 (Examples)

29/1, 13-15 (MH:333) Lecture 2 (Euler-Lagrange equation, the simplest case)

   3/2, 15-17, (MH:333) Download Seminar/Exercise

   6/2, 10-12 (MH:333) Lecture 3 (EL equation: Lagrange's approach, natural boundary conditions)

12/2, 13-15 (MH:333) Lecture 4 (Special cases, examples, broken extremals)

13/2, 10-12, (MH:333) Download Seminar/Exercise

20/2, 10-12, (MH:333) Lecture 5 (Basic generalizations: higher order derivatives, several variables, multiple unknowns)

26/2, 13-15, (MH:333) Lecture 6 (Variable endpoints, transversality conditions)

   4/3, 13-15, (MH:333) Download Seminar/Exercise

   5/3, 10-12, (MH:333) Lecture 7 (Weierstrass-Erdmann corner conditions, constrained problems)

11/3, 13-15, (MH:333) Lecture 8 (second variation, Legendre's and Jacobi's conditions)

12/3, 13-15, (MH:333) Download Seminar/Exercise