Linear Programming BasicsCovers the basics of linear programming, defining corners, extreme points, and feasible solutions within polyhedrons.
Integer Programming BasicsIntroduces the basics of integer programming, including binary integer programs and constraint strategies.
Building Ramanujan GraphsExplores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Martingales: More TheoryExplores the theory of martingales, including conditional expectations, Chernoff bounds, and Azuma's inequality.