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Laplace Transforms and Differential Equations
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Classroom Contents
Fourier Analysis
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- 1 Fourier Analysis: Overview
- 2 Fourier Series: Part 1
- 3 Fourier Series: Part 2
- 4 Inner Products in Hilbert Space
- 5 Complex Fourier Series
- 6 Fourier Series [Matlab]
- 7 Fourier Series [Python]
- 8 Fourier Series and Gibbs Phenomena [Matlab]
- 9 Fourier Series and Gibbs Phenomena [Python]
- 10 The Fourier Transform
- 11 The Fourier Transform and Derivatives
- 12 The Fourier Transform and Convolution Integrals
- 13 Parseval's Theorem
- 14 Solving the Heat Equation with the Fourier Transform
- 15 The Discrete Fourier Transform (DFT)
- 16 Computing the DFT Matrix
- 17 The Fast Fourier Transform (FFT)
- 18 The Fast Fourier Transform Algorithm
- 19 Denoising Data with FFT [Matlab]
- 20 Denoising Data with FFT [Python]
- 21 Computing Derivatives with FFT [Matlab]
- 22 Computing Derivatives with FFT [Python]
- 23 Solving PDEs with the FFT [Matlab]
- 24 Solving PDEs with the FFT [Python]
- 25 Solving PDEs with the FFT, Part 2 [Matlab]
- 26 Solving PDEs with the FFT, Part 2 [Python]
- 27 The Spectrogram and the Gabor Transform
- 28 Spectrogram Examples [Matlab]
- 29 Spectrogram Examples [Python]
- 30 Uncertainty Principles and the Fourier Transform
- 31 Wavelets and Multiresolution Analysis
- 32 Image Compression and the FFT
- 33 Image Compression with Wavelets (Examples in Python)
- 34 Image Compression with the FFT (Examples in Matlab)
- 35 Image Compression and Wavelets (Examples in Matlab)
- 36 Image Compression and the FFT (Examples in Python)
- 37 The Laplace Transform: A Generalized Fourier Transform
- 38 Laplace Transforms and Differential Equations
- 39 Laplace Transform Examples
