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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers integrals depending on a parameter, the least action principle, and the derivation of Euler-Lagrange equations. The slides discuss the Euler-Lagrange equations for a given function, the necessary conditions for local extremum, and the concept of space-time. The equations are derived step by step, showing the importance of the necessary conditions for extremum. The lecture also explores the application of Euler-Lagrange equations in various scenarios, emphasizing the significance of these equations in mathematical analysis. The examples provided illustrate the practical use of the equations in solving optimization problems.