Lectures related to Global Extrema of Functions in R^2

Covers the definition of asymmetric functions and extremas in functions with examples.

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

Covers Taylor approximation, convex functions, and integrable properties.

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.

Explores derivatives, local extrema, and convexity in functions, including Taylor's formula and function compositions.

Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.