Fourier Series: Odd and Even Functions

This lecture covers the concepts of odd and even functions in the context of Fourier series, explaining the conditions for a function to be classified as odd or even. It also delves into the properties of even and odd functions, providing examples and discussing the implications for Fourier series. The lecture further explores the application of Fourier series in representing functions defined on specific intervals, such as half-range series. Additionally, it introduces the use of cosine and sine Fourier series for different types of functions, showcasing their utility in approximating arbitrary functions. The lecture concludes with a discussion on complex Fourier series and their applications in representing periodic functions.