Calculus of Variations

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Related lectures (30)

Green's Functions in Laplace Equations Log in to Mediaspace to watch this video

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Optimal Control Theory: Basics Log in to Mediaspace to watch this video

Covers the fundamentals of optimal control theory, focusing on defining OCPs, existence of solutions, performance criteria, physical constraints, and the principle of optimality.

Green's Theorem: Boundary and Normal Vectors Log in to Mediaspace to watch this video

Explores boundaries, normal vectors, and Green's theorem application in transforming integrals.

Taylor Polynomials: Approximating Functions in Multiple Variables Log in to Mediaspace to watch this video

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Advanced analysis II: jordan-measurable sets Log in to Mediaspace to watch this video

Explores Jordan-measurable sets and their properties, including volume calculations and change of variables in integrals.

Local Extrema of Multivariable Functions Log in to Mediaspace to watch this video

Revisits local and absolute extrema of multivariable functions, discussing their properties and identification conditions.

Residue Theorem: Cauchy's Integral Formula and Applications Log in to Mediaspace to watch this video

Covers the residue theorem, Cauchy's integral formula, and their applications in complex analysis.

Derivatives and Tangent Planes Log in to Mediaspace to watch this video

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Numerical Analysis: Stability in ODEs Log in to Mediaspace to watch this video

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Lax-Milgram: Variational Problems and Riesz's Theorem Log in to Mediaspace to watch this video

Explores the Lax-Milgram theorem, variational problems, and Riesz's representation theorem in linear elliptic problems.

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