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This video is a demonstration on how to compute a Fourier series of a simple given function. I discuss how to calculate the Fourier coefficients through integration and the simplifications involved.

Fourier series are an important area of applied mathematics, engineering and physics that are used in solving partial differential equations, such as the heat equation and the wave equation. Fourier series are named after J. Fourier, a French mathematician who was the first to correctly model the diffusion of heat.

Fourier series are seen in 2nd-year university mathematics.