Lectures related to Extreme value theorem

Discusses the Extreme Values Theorem for continuous functions on closed intervals.

Discusses Cauchy sequences, sub-sequences, and numerical series with parameters.

Covers the concepts of sequences, convergence, and boundedness in mathematics.

Explores the Bisection Algorithm, convergence of sequences, and function continuity.

Reviews open sets, denseness, real numbers, convergence, curves, continuity, and derivatives in analysis.

Explores the Bolzano-Weierstrass theorem on bounded sequences and convergent subsequences.

Explores convergence in Rº, Cauchy sequences, and the Bolzano-Weierstrass theorem.

Explains convergence, limits, bounded sequences, and the Bolzano-Weierstrass theorem in real numbers.

Explores the convergence of sequences in real numbers and the related theorems.

Covers extreme values of continuous functions on compact sets and differentiability.

Explains the Bolzano-Weierstrass Theorem, stating that every bounded sequence has a convergent subsequence.

Introduces bounded sequences and subsequences, culminating in the Bolzano-Weierstrass theorem.

Explores continuous functions on compact sets, discussing boundedness and extremum values.

Covers the demonstration of the Bolzano-Weierstrass theorem for real numbers sequences.

Covers lower and upper sums for functions on closed intervals and their relation to continuity.

Discusses limits of multivariable functions, focusing on definitions, examples, and techniques for calculating limits effectively.

Explores functions, limits, continuity, differentiability, and important notions of limits and divergence.

Covers the conditions for finding absolute extrema in multivariable functions.

Explores Rolle's theorem application and function extrema conditions.

Explores the convergence of numerical sequences through monotonicity, boundedness, linear recurrence, and subsequences.