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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 the concept of differentiable functions in R², focusing on the representation of vector fields and local copies of R². It also discusses the transformation of coordinates and the derivative of the reciprocal function. The instructor explains the definition of functions in R² and their bijective properties, emphasizing the importance of class C¹ functions. The lecture concludes with a detailed explanation of the derivative of the reciprocal function and the concept of homeomorphism. Various examples and demonstrations are provided throughout the lecture.