Lectures related to Stationary Points: Necessary Conditions and Examples

Explores the desirability and decorability of function extremes and asymptotes.

Covers real functions' definitions, properties, periodicity, and reciprocity, including maximum, minimum, and composition of functions.

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

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

Covers the Taylor polynomial in two variables and the concept of extrema in functions of several variables.

Covers the application of Taylor's formula, including composition of functions and detecting local extrema.

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

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