Calculus of Variations: Some Topics

Related lectures (23)

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Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Covers the concept and calculation of directional derivatives in multivariable calculus.

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores variational problems, emphasizing convexity and coercivity conditions in functionals with integral side constraints.

Covers Optimal Control Theory, focusing on Optimal Control Problems (OCPs) and the calculus of variations.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.