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Course Information

Course Name
Turkish Varyasyonlar Hesabı
English Variational Calculus
Course Code
MAT 365 Credit Lecture
Semester -
3 3 - -
Course Language Turkish
Course Coordinator Elmkhan Mahmudov
Course Objectives To teach the basic theory and applications of the calculus of variations.
Course Description Functionals; continuous, lower and upper semicontinuous functionals. Differentiable functionals.
Frechet and Gateax differential of a functional. Single variable and multivariable optimization, conjugate functions. Weak and strong extremum. A necessary condition for an extremum. Integral types functionals; A necessary condition of extremum for single variable functionals, Euler- Lagrange equation. Pontryagin’s maximum principle and Variation calculus. A necessary condition for multivariable functionals, geodesics of surface. Variational problems in parametric form. The canonical form of the Euler equation. Isoperimetric problems. Variable endpoint problem. Broken extremals. Transversality conditions. Sufficient conditions for an extremum. Jacobi’s condition,
Weierstrass function.
Course Outcomes
Required Facilities
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