Oxford Calculus - Fourier Series Derivation

Dive into a comprehensive 41-minute video lecture on deriving Fourier Series coefficients for periodic functions, presented by University of Oxford mathematician Dr. Tom Crawford. Learn essential concepts including orthogonality relations for sine and cosine, trigonometric product-to-sum formulae, and the delta function. Follow along as the lecturer derives coefficients a0, an, and bn by integrating and applying orthogonality relations. Explore uniform convergence and its significance in series context. Access a free accompanying worksheet and utilize the Maple Calculator App to check your work. This lecture is part of the 'Oxford Calculus' series, offering in-depth explanations of various calculus topics.