Fourier Coefficients of Periodic Functions

This lecture delves into computing the Fourier coefficients of periodic functions, focusing on the square wave and the triangle wave. The instructor explains the case distinction for even and odd frequency numbers, simplifying integrals using symmetry properties, and computing the coefficients for cosine and sine modes. The lecture concludes with a discussion on the convergence of Fourier series and Dirichlet's theorem, highlighting the ability to reconstruct the original function for a large class of signals.