Lectures related to Optimization of Functions: Maximum and Minimum

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

Optimization Techniques: Local and Global Extrema

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

Differentiable Functions and Lagrange Multipliers

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

Optimization: Extrema of Functions

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

Analyse II: Theorems on Continuous Functions and Extremums

Covers the theorems on continuous functions and extremums in compact sets.

Optimization: Lagrange Multipliers

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

Compact Sets and Extreme Values

Explores compact sets, extreme values, and function theorems on bounded sets.

Local Extremum Points Determination

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

Extrema of Functions in Several Variables

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

Maximum and Minimum of Functions

Explores limits, minimum and maximum values of functions, and continuity criteria in a compact set.

Local Extrema of Functions

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

Derivatives and Reciprocal Functions

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Construction of Measures: Separation and Partition

Covers the construction of measures in RN, focusing on separation and partition of compact sets.

Taylor's Formula: Developments and Extrema

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

Extreme Values of Continuous Functions

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

Extreme Points and Compact Intervals

Covers extreme points, compact intervals, and optimization problems in analysis.

Extreme Points and Function Extrema

Explores finding extrema of functions over compact sets and edge parametrization.

Local Extremums of Functions

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

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.