Lectures related to Local Extrema and Translations

Extrema of Functions in Several Variables

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

Taylor's Formula: Developments and Extrema

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

Local Extrema of Functions

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

Extrema of Functions in Several Variables

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

Optimization: Local Extrema

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

Analysis I: Limits and Continuity

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

Optimization: Lagrange Multipliers

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

Local Extremum Points Determination

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

Optimization of Functions: Maximum and Minimum

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

Real Functions: Definitions and Properties

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

Characterization of Sequences

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

Definite Integrals: Properties and Interpretation

Covers the calculation of minimum points and the concept of definite integrals.

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.

Gradient and Taylor Formula

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Optimization Techniques: Local and Global Extrema

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

Partial Derivatives: Taylor Formula

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

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

Differentiable Functions and Lagrange Multipliers

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

Stationary Points: Necessary Conditions and Examples

Covers necessary conditions for extrema and provides illustrative examples.

Extrema of Functions

Covers the concept of extrema of functions, including local and global maxima and minima.