Lectures related to Optimization of Functions: Maximum and Minimum

Optimization: Lagrange Multipliers

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

Local Extrema of Functions

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

Optimization: Local Extrema

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

Optimization of Functions: Maximum and Minimum

Covers the optimization of functions, focusing on finding the maximum and minimum values over a given domain.

Extrema of Functions in Several Variables

Explores the conditions for local extrema of functions in several variables, including critical points and the Hessian matrix.

Nature of Extremum Points

Explores the nature of extremum points in functions of class e² around the point (0,0), emphasizing the importance of understanding their behavior in the vicinity.

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

Extrema of Functions in Several Variables

Explains extrema of functions in several variables, stationary points, saddle points, and the role of the Hessian matrix.

Local Extremum Points Determination

Focuses on determining local extremum points of functions through various examples.

Real Functions: Definitions and Properties

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

Max/min: optimization

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

Minimization of functions

Explores techniques for minimizing functions and finding critical points.

Optimization: Extrema of Functions

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

Optimization Techniques: Local and Global Extrema

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

Local Extremums of Functions

Explains local and absolute extremums of functions and the classification of critical points.

Differentiable Functions and Lagrange Multipliers

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

Functions and Periodicity

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

Taylor's Formula: Developments and Extrema

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

Morse Theory: Critical Points and Non-Degeneracy

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

Convex Functions

Covers the properties and operations of convex functions.