Extrema and Implicit Functions

Related lectures (30)

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Explores sufficient conditions for functions and implicit functions in finding solutions.

Covers the Cantor-Heine theorem, discussing uniform continuity and compactness.

Explores stationary points and the Lagrange multiplier theorem for function optimization.

Explores the Implicit Functions Theorem and properties of hypersurfaces and matrices.

Covers continuous functions, derivability, and global properties in differential calculus.

Explores extrema under constraints using Lagrange multipliers for optimization problems.

Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.

Covers the description of all solutions of the initial problem and related concepts such as compactness and closure.

Explains setting up experiments with compactness, isometries, and quasi-isometry.

Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.