Uploaded March 2025 | Updated September 2026, 1 week ago

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a pi-licious surprise

We calculate a fun alternating sum by using Fourier sine series. For this we compute the Fourier coefficients of the function x by using orthogonality. Moreover, as an application, we can finally solve the heat equation that has been bugging us for so long. This is an important tool for separation of variables and partial differential equations, enjoy!

Fourier sine series: youtu.be/bco2p49Earw

Fourier series playlist:
youtube.com/playlist?list=PLJb1qAQIrmmCH7I01p-8p3z2CIenW6hwe

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