Karabakh University Courses
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[RIM 303] Calculus of Variations
Instruction Language
Azerbaijani
Course Description
This course explores the mathematical techniques for finding functions that maximize or minimize integral functionals, extending the concepts of classical calculus to function spaces. The curriculum focuses on the Euler-Lagrange equation, which serves as the fundamental necessary condition for an extremum. Students investigate problems involving constraints, such as the Isoperimetric problem, and study sufficient conditions for extrema using the second variation and Jacobi fields. The course emphasizes the principle of least action in mechanics and the application of variational methods in optimal control theory and structural optimization. By the end of the semester, students will be capable of deriving governing equations for complex physical systems and solving optimization problems where the unknown is a path or a surface, providing essential tools for advanced theoretical physics and aerospace engineering.
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