Poisson Problem: Fourier Series Solution

This lecture covers the Poisson problem over an interval, introducing the superposition principle and solving it using Fourier series. The instructor explains the process step by step, from considering auxiliary problems to finding an explicit formula for the solution. The lecture also delves into the Fourier series representation of functions and the periodicity of solutions. Various examples are provided to illustrate the concepts, including the calculation of Fourier coefficients and the behavior of cosine functions over cycles.