Function Approximations

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Related lectures (31)

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Advanced Analysis II: March 23

Covers variable bounds, convergence of integrals, and homomorphisms in advanced analysis.

Generalized Integrals: Bounded Interval

Introduces generalized integrals on a bounded interval, discussing convergence, divergence, comparison criteria, variable substitution, and corollaries.

Multiple Integration: Part 2

Explores double integrals over unbounded domains and convergence of sequences.

Optimal Transport: Heat Equation and Metric Spaces

Explores optimal transport in heat equations and metric spaces.

Calculus of Variations: Principles and Applications

Explores the principles and applications of calculus of variations, focusing on uniform boundedness and equi-integrability of Carathéodory integrands.

Normed Spaces

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Global Properties of Continuous Functions

Explores the global properties of continuous functions, including behavior, limits, and interval characteristics.

Fourier Series: Convergence and Dirichlet Theorem

Covers Fourier series convergence, Dirichlet theorem, and applications in signal processing.

Bolzano-Bastra-Sterl: Applications and Uniform Continuity

Explores the Bolzano-Bastra-Sterl theorem and uniform continuity in sequences.

Analysis: Recap and Normed Space R^n

Covers a recap of Analysis 1 and 2, emphasizing normed space R^n, subsets, and continuous functions.