Lectures related to Global and local extrema of functions

Explores the Darboux theorem for continuous functions on closed intervals, emphasizing uniform continuity and function behavior implications.

Explores real functions, covering parity, periodicity, and polynomial functions.

Explores continuous functions and integrability through practical examples.

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

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

Explores the conditions for continuity and differentiability of functions on a closed interval.

Covers differentiability of functions in two variables and the conditions for a function to be differentiable.

Covers the method of Lagrange multipliers to find extrema subject to constraints.

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.

Explains global and local maxima and minima of functions, with examples and a guarantee theorem.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Explores differentiability in R², discussing key properties and the theorem of the two genderines.

Covers functions, including even and odd functions, periodicity, and function operations.

Covers the demonstration of a theorem using mathematical expressions and hypotheses.

Explores differentiating under the integral sign and continuity of functions in integrals.

Covers advanced topics in analysis, focusing on integrals, functions, and their properties.

Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.

Covers the application of functions defined by recurrence to sequences and the theorem of the fixed point.

Covers the Two Gendarmes Theorem for functions and their limits.

Introduces the fundamentals of functions in microcontroller programming, emphasizing naming rules and step-by-step development.