Calculus of Variations

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Related lectures (23)

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Covers the direct method of the calculus of variations, focusing on the existence of solutions for minimization problems.

Fundamentals of Digital Systems: Integral Theorems and Applications

Provides an overview of integral theorems and their applications in digital systems, focusing on iterated integrals and measure theory.

Multivariable Integral Calculus

Delves into multivariable integral calculus, covering topics like volume calculations and finding extrema under constraints.

Laplacian in Polar and Spherical Coordinates: Derivatives

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Calculus of Variations: Radon-Nikodym Theorem

Covers the Radon-Nikodym theorem and the uniqueness of signed Borel measures.

Calculus of Variation and Euler's Elastica

Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.

Curve Integrals of Vector Fields

Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.

Variational Calculus: Quasicovexity

Explores quasicovexity in variational calculus, discussing necessary conditions and implications on functional optimization.

Curve Integrals: Gauss/Green Theorem

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Calculus Fundamentals

Covers the fundamentals of calculus, including limits, derivatives, and integrals.