KKT and Convex OptimizationCovers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.
Extrema of FunctionsCovers the discussion of local extrema, concavity, convexity, and inflection points in functions.
Convex Functions: Theory and ApplicationsExplores convex functions, including checking convexity, transformations, examples, minimization, geometric intuition, Schur's Lemma, distance function, perspective function, and relative entropy.
Convex Sets and FunctionsIntroduces convex sets and functions, discussing minimizers, optimality conditions, and characterizations, along with examples and key inequalities.
Convex OptimizationIntroduces convex optimization, focusing on the importance of convexity in algorithms and optimization problems.