Remarks and Demonstrations

Related lectures (29)

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Explores locally Lipschitz functions, discussing differentiability, unique solutions, and function reduction.

Explores Taylor series expansions for derivatives and integrals, including practical applications.

Explores integration by substitution technique with examples and verification.

Explores differentiable functions, gradients, and tangent planes in two-variable functions.

Discusses advanced optimization techniques, focusing on faster and projected gradient descent methods in machine learning.

Explores Taylor expansion, convex functions, and Lipschitz continuity with illustrative examples.

Explores algebraic operations on limited developments and their consequences on differentiable functions, illustrated through examples.

Introduces the study of functions defined by power series and emphasizes the importance of separately considering boundary points.

Covers the definition of derivatives and provides examples of differentiable functions.