Lectures related to The polar of the cone of linearized directions

Explores convex functions, global minima, and their relationship with differentiability.

Explains local extremum conditions for n=2 and n=3, critical points, and stationary points.

Explores stationary points, saddle points, symmetric matrices, and orthogonal properties in optimization.

Covers the analysis of stationary points in functions, focusing on optimization methods.

Explores the study of local minima and maxima through derivatives and sign changes.

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

Covers necessary optimality conditions for optimization with constraints and discusses cones and polar sets.

Explores finding extrema of functions over compact sets and edge parametrization.

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