MATE 5049 Calculus of variations
- Where and when
- MJ 9:00--10:15, in M-118.
Topics
- Review of optimisation in Euclidean space
- Some examples of optimisation problems
- Linear spaces and Gateaux variations
- Minimisation of convex functions
- Lemmas of Lagrange and Du Bois-Raymond
- Local extrema in normed linear space
- The Euler-Lagrange equations
- Piecewise C1 extremal functions
- Variational principles in mechanics
- Sufficient conditions for a minimum
- Text
- Variational Calculus and Optimal Control, by John Troutman, 2nd
edition, Springer-Verlag 1996.
- Grading policy
-
| homework |
30% |
| presentation |
15% |
| mid-term exam |
25% |
| final exam |
30% |
- Homework (updated May 8)
Last modified: Thu May 8 15:47:33 AST 2008