Fourier Series: Understanding Periodicity and Coefficients

This lecture delves into the concept of t-periodic functions in Fourier series, exploring the repetition of functions to the right and left. It discusses the calculation of intervals, the use of propositions for simplification, and the significance of changing variables. The lecture also covers the calculation of Fourier coefficients, the convergence of series, and the implications of periodicity on function limits. Students engage with examples to understand the convergence of series and the importance of considering even and odd orders in Fourier analysis.