Trigonometric Polynomials: Periodicity and Fourier Coefficients

This lecture covers the concept of trigonometric polynomials, focusing on their periodicity properties and the computation of Fourier coefficients. The instructor explains the definition of trigonometric polynomials, their periodic behavior, and how to calculate Fourier coefficients. The lecture also delves into the significance of Fourier coefficients in representing periodic functions and the application of these concepts in mathematical analysis.