| Code |
Course Name |
Language |
Type |
| MAT 365 |
Calculus of Variations |
Turkish |
Elective |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
6 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 232 MIN DD
or MAT 232E MIN DD
|
| Class Restriction |
None |
| Course Description |
| Continuous, lower and upper semicontinuous functionals, Differentiable functionals, Frechet and Gateax differential of a
functional. Weak and strong extremum, Integral types functionals, A necessary condition of extremum for single variable
functionals, Euler- Lagrange equation. A necessary condition for multivariable functionals, Variational problems in parametric
form, Variational problems with subsidiary conditions. Isoperimetric problems, Variable endpoint problem, Broken extremals,
Transversality conditions,Jacobi’s condition, Weierstrass function |
|
