Optimization in Engineering

This lecture delves into the topic of optimization, focusing on solving systems with a fixed number of variables and equations. The instructor explains the importance of choosing decision variables and objective functions, as well as the role of constraints in the optimization process. Various methods, such as the black box approach, simultaneous optimization, and hybrid approaches, are discussed. The lecture also covers the use of Lagrange multipliers and the branch and bound method for solving problems with integer variables. Emphasis is placed on understanding the mathematical formulations and techniques used in optimization problems.