Lectures related to Extrema of 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.

Differentiable Functions and Lagrange Multipliers

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

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.

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

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.

Optimization Techniques: Local and Global Extrema

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

Stationary Points: Necessary Conditions and Examples

Covers necessary conditions for extrema and provides illustrative examples.

Local Extrema of Functions

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

Optimization: Lagrange Multipliers

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

Taylor's Formula: Developments and Extrema

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

Optimization: Local Extrema

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

Partial Derivatives: Taylor Formula

Explores partial derivatives, Taylor formula, examples, and extrema of functions.

Characterization of Sequences

Explores the convergence criteria and the importance of continuity in sequences near a point xo.

Analysis I: Limits and Continuity

Covers the concepts of limits and continuity, focusing on the demonstration of various theorems.

Local Extremums of Functions

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

Derivatives and Reciprocal Functions

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

Local Extrema and Translations

Explains local extrema, translations of functions, and function reflections.

Taylor's Formula: Developments and Applications

Explores Taylor's formula, polynomials, functions, and series applications.