Lectures related to Optimization: Stationary Points and Local Extrema

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

Explores determining local maximums, minimums, and inflection points of functions.

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

Covers the study of functions, including limits, derivatives, and sign variations.

Explores limits, derivation rules, integrals, and exact differentials for practical applications.

Explores directional derivatives in two-variable functions and extremum points.

Covers Fermat's theorem, necessary optimality conditions, convexity, and eigenvalue curvature in optimization.

Covers the essential elements for studying a function, including its domain, behavior at boundaries, limits, derivatives, and points of inflection.