Optimisation in Energy SystemsExplores optimization in energy system modeling, covering decision variables, objective functions, and different strategies with their pros and cons.
Linear Programming BasicsCovers the basics of linear programming, defining corners, extreme points, and feasible solutions within polyhedrons.
Network Flows Meets SimplexExplores network flows, simplex method, linear programming, tree solutions, and dual solutions in optimization problems.
Discrete optimization: KnapsackExplores modeling classic optimization problems as mixed integer linear problems, focusing on the knapsack problem and its applications.
Local Homeomorphisms and CoveringsCovers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.