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Lecturer(s)
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Course content
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- The simplest problem of variational approach. - Euler equation. - Classification of extrems. - Generalization of the simplest problem. - Allowed curves with free end-points. - Conditional extrem. - Variational problem in parametric formulation. - Sufficient conditions of a strong and week extrem. - Direct methods of solution of variational problems.
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Learning activities and teaching methods
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Lecture, Monologic Lecture(Interpretation, Training), Activating (Simulations, Games, Dramatization)
- Preparation for the Exam
- 600 hours per semester
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Learning outcomes
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The lecture is oriented to the classical calculus of variations with its logically necessary and sufficient conditions for an extreme of a functional.
Knowledge. Define main notions, approaches, to be able to solve model problems.
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Prerequisites
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Basic knowledge of the undergraduate mathematics and physics.
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Assessment methods and criteria
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Mark, Oral exam, Systematic Observation of Student
Basic knowledge of mathematics.
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Recommended literature
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Eľsgoľc, L.E. (1965). Variační počet. SNTL, Praha.
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Lavrenťjev, M.A., Ljusternik, L.A. (1952). Kurs variačního počtu. Přírodovědecké vydavatelství, Praha.
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Nožička, F. (2000). Variační počet. V knize K. Rektoryse a spolupracovníků: Přehled užité matematiky II. Prometheus, Praha.
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