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In this program

Heat equation and PDE solutions via Fourier series
Signal decomposition
Frequency content
Window functions
Leakage (introduction)
Fast Fourier transform (FFT) algorithm overview
Introduction to wavelets (optional topic)

Applications and generalizations

Introduction to wavelets (optional topic)

Fourier analysis & transforms · Standard syllabus

Topic

Introduction to wavelets (optional topic)

Practice by unit: Applications and generalizations

Undergraduate Fourier Analysis — scope drawn from open Fourier analysis / transforms notes and typical US applied Fourier syllabi.

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