Convex Sets: Mathematical Optimization

This lecture covers the fundamentals of mathematical optimization, focusing on convex sets and optimization problems. It introduces the concept of convex optimization and explores various solution concepts, including global and local minimizers, E-optimal solutions, and different optimization methods. The lecture also discusses the significance of efficient numerical methods in solving optimization problems and provides insights into affine, convex, and conic sets. Additionally, it delves into the purpose of the course, emphasizing the recognition and formulation of convex optimization problems and the importance of modeling tricks in building tractable models.