Continuous Functions: Definitions and Continuity Criteria

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Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

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

Explores integrals on continuous functions and their properties, including uniform continuity.

Explains the definition of continuous functions and isolated points.

Explores the integration by parts technique through examples, showcasing its step-by-step application to functions like cos(x) and sin(x.

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

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.

Explores uniform continuity, Lipschitz functions, and the intermediate value theorem with examples and proofs.

Explores finite element interpolation using the Clément operator for non-continuous functions and discusses error estimation.

Covers the concept of uniform continuity and a theorem on continuous functions.