Lectures related to Minimization of functions

Discusses local extrema of functions in two variables around the point (0,0).

Covers Morse theory, focusing on critical points and non-degeneracy.

Covers advanced optimization methods using Lagrange multipliers to find extrema of functions subject to constraints.

Covers the optimization of functions, focusing on finding the maximum and minimum values.

Discusses optimization techniques, focusing on local and global extrema in functions.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

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

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers the statement of the Bernoulli's Hospital Rule and its application.

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

Covers the properties and operations of convex functions.

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

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Explores functions, series, and critical points in mathematics, including maximum, minimum, supremum, and infimum concepts.

Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Demonstrates the practical application of theorems in calculus through two clever examples.

Presents the solution to finding the second-order Taylor polynomial of a function.

Explains how to find local extrema of functions using derivatives and critical points.

Covers the composition of piecewise functions and introduces the signum and Heaviside functions.