Extremes of Functions: Desirability and Decorability

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Extrema of Functions in Several Variables

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

Limits Recapitulation

Covers the definition of limits and continuous functions with examples and exercises.

Continuity: Examples and Definitions

Covers the concept of continuity, providing examples and definitions of continuous functions.

Optimization: Local Extrema

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

Functions and Periodicity

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

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.

Real Functions: Definitions and Properties

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

Optimization of Functions: Maximum and Minimum

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