Lectures related to Fermat's theorem (stationary points)

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

Explains necessary conditions for convergence in optimization problems.

Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.

Covers examples of absolute extrema and how to find extreme points.

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

Covers Rolle's Theorem and the Mean Value Theorem, discussing stationary points and extrema.

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

Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.

Explores the Local Inversion Theorem and extremum points in functions.