Fourier Series: Dirichlet Theorem

This lecture covers the Dirichlet theorem, which allows deriving the Fourier series of a function when it is continuous. Starting with a reminder on periodic functions, the instructor explains how to find the Fourier series coefficients using Dirichlet's conditions. Through examples, the lecture demonstrates the application of the theorem to determine the Fourier series of different functions. The importance of the theorem in approximating periodic functions is highlighted, emphasizing the conditions that need to be met for its application. The lecture concludes with a discussion on the significance of the Dirichlet theorem in the context of Fourier analysis.