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Fourier Analysis · Calculus

Fourier Series

Every periodic function can be written as an infinite sum of sines and cosines. Parseval’s theorem says total energy equals sum of squares of Fourier coefficients.

WHAT STUDENTS WILL LEARN
Compute Fourier coefficients using inner products
Apply Dirichlet conditions for convergence
Interpret as orthogonal decompositions in L²
Apply Parseval’s theorem
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