Class 6, C&O 367



  1. Convex Sets and Convex Functions
    1. Convex Functions on D a convex subset of Rn
      1. properties, characterizations, examples
      2. Theorem 2.3.3 and proof (convex combinations);
        Theorem 2.3.4 and proof (local and global minima);
        Theorem 2.3.5 and proof (tangent hyperplane characterization)
        Theorem 2.3.7 and proof (psd Hessian characterization)