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Spin Model ExercisesCovers exercises on the spin model, independent set, matching, and increasing functions.
Graph Theory FundamentalsExplores fundamental graph theory concepts, Erdős' results, Chromatic Lemma, and Union Bound theorem in graph theory.
Linear Programming: Convex HullCovers MAE regression, convex hull, reformulation advantages, and practical problems with decision variables and constraints.
Nonlinear Programming: Part ICovers the fundamentals of Nonlinear Programming and its applications in Optimal Control, exploring techniques, examples, optimality definitions, and necessary conditions.
Relations Between EventsExplores relations between events, disjunctive constraints, and modeling with binary variables in optimization problems.
Dynamical Systems: Lecture 2Introduces dynamical systems, covering modeling, laws of motion, linearity, time invariance, and external forces.