Lectures related to Extrema: Local and Global

Covers the surjectivity of the derivative application for continuous functions on closed intervals.

Explains the Intermediate Value Theorem for continuous functions on closed intervals.

Explores continuous functions, Cauchy criterion, and function extension by continuity.

Explains how a function reaches its maximum and minimum values.

Covers integration by change of variables and the derivation in chain rule.

Introduces Riemann sums as approximations of the area under a function's graph.

Explores the continuity of elementary functions and the properties of continuous functions on closed intervals.

Explores the integral part of the Fundamental Theorem of Analysis with examples like y = cos(x).

Introduces the concepts of minimum and maximum values for continuous functions.