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Introduction to Optimization
Covers the basics of optimization, including historical perspectives, mathematical formulations, and practical applications in decision-making problems.
Semi-Definite Programming
Covers semi-definite programming and optimization over positive semidefinite cones.
Microeconomic Consumer Theory
Explores microeconomic consumer theory, utility maximization, optimization problems, and decision-making models.
Linear Optimization: Finding Initial BFS
Explains the process of finding an initial Basic Feasible Solution for linear optimization problems using the Simplex Algorithm.
Introduction to Optimization and Operations Research
Covers fundamental concepts of optimization and operations research, exploring real-world examples and key topics over a semester.
Linear Programming: Weighted Bipartite Matching
Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.
Convex Optimization: Self-dual Cones
Explores self-dual cones in convex optimization and their applications in various optimization problems.
Optimization Problems: Greedy Algorithms
Explores optimization problems and greedy algorithms to find the best solutions efficiently.
Contact-Implicit Planning and Control
Introduces state-triggered constraints for non-prehensile manipulation and showcases improved performance through feedback control.
Energy System Modelling: Overview and Optimization Problems
Covers energy system modelling, optimization, scenarios, predictions, complexities, and controversies in energy models.