Lecture notes by Harald E. Krogstad. Basic Mathematical Tools Low-dimensional, unconstrained problems SteepestDescent Slides Trust Region Quadratic Problem CG Presentation Notes about the Conjugate Gradient method SD and CG MATLAB Demos Least Square optimization note Matlab Toolbox: Unconstrained Optimization Karush-Kuhn-Tucker Theorem Linear Programming Note, LP Slides and LP in Matlab LP Network Simulation Quadratic Programming Note, QP Slides and QP in Matlab Penalty and Barrier Methods Inverse Problems About Thm. A13 in Troutman Brachistochrone, Optimal Fuel Consumption (Prob. 3.39) and Optimal Production Strategy. Variational Formulations in Mechanics and Variational Calculus And Sport Problem 3.29 in Troutman Variational Calculus, PDE and the FE method and Optimal Exam Preparation