Lectures related to Optimization Problems

Optimization with Constraints: KKT Conditions

Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.

Energy Systems Optimization

Explores energy systems modeling, optimization, and cost analysis for efficient operations.

Optimization with Constraints: KKT Conditions

Covers the optimization with constraints, focusing on the Karush-Kuhn-Tucker (KKT) conditions.

Optimization in Energy Systems

Explores optimization in energy systems, focusing on decision-making through objective functions and constraints to determine system states.

Optimization: Constrained Volume Problems

Explores constrained volume problems using Lagrange multipliers to find extrema under constraints in various examples.

Optimization Methods: Theory Discussion

Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.

Formulation, Modeling: Château Laupt-Himum

Discusses a case study on wine production at Château Laupt-Himum.

Optimization with Constraints: Theory and Applications

Covers the theory and applications of optimization with constraints, including key concepts and numerical methods.

Single Inequality or Equality Constraint

Covers single inequality or equality constraints and necessary optimality conditions in optimization problems.

Optimization Problems

Covers optimization problems and techniques to find maximum and minimum values of functions.

Linear Optimization Techniques: Problem Solving Approaches

Provides an overview of linear optimization techniques, focusing on problem-solving methods and the importance of constraints and objective functions.

Extreme Values and Constraints

Explores extreme values, constraints, Riemann's integral interpretation, and volume calculations of parallelipipeds in mathematics.

Optimization with Lagrange Multipliers

Covers advanced optimization techniques using Lagrange multipliers to find extrema of functions subject to constraints.

Lagrange Multipliers Theorem

Covers the Lagrange Multipliers Theorem and its applications in finding extrema.

Semi-Definite Programming

Covers semi-definite programming and optimization over positive semidefinite cones.

Optimization Methods: Lagrange Multipliers

Covers advanced optimization methods using Lagrange multipliers to find extrema of functions subject to constraints.

Optimisation Strategies: Energy Systems Modelling and Optimization

Explores solving strategies for energy system optimization problems and different types of optimization approaches.

Optimization Techniques

Covers optimization techniques, quizzes, and grade exercises in mathematical applications.

Optimal Control: Hydropower Management

Covers the optimization of hydropower systems and control strategies for maximizing energy production.

Introduction to Optimization and Operations Research

Covers fundamental concepts of optimization and operations research, exploring real-world examples and key topics over a semester.