Fourier Coefficients: Trigonometric Series

This lecture covers the concept of Fourier coefficients in trigonometric series, focusing on the Plancherel-Parseval theorem and its application to functions extended to periodic domains. The instructor explains the calculation of coefficients using integrals of cosine and sine functions, emphasizing the properties of even and odd functions. The lecture concludes with practical examples and exercises to consolidate the understanding of Fourier series.