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Worked example showing the application of the separated solution and the d'Alembert methods to the 1D wave equation
Exercise sheet PDE 1: Question 1 worked example
From Daniel Friedrich
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Worked solution for Question 1 from Exercise sheet ODE 1 from EM2A
Exercise sheet ODE 1: Question 1 worked example
From Daniel Friedrich
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Video discussing the complex Fourier series
Fourier series Week 3 Part 3: Complex Fourier…
From Daniel Friedrich
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Video discussing the harmonic oscillator. We use the Fourier series of a periodic forcing to find the particular solution of the differential equation describing the…
Fourier series Week 3 Example 2: Harmonic…
From Daniel Friedrich
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Three examples showing the use of differentiation and integration to find Fourier series.
Fourier series Week 3 Example 1: Fourier series…
From Daniel Friedrich
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Video showing how to solve differential equations with periodic forcing functions with the Fourier series.
Fourier series Week 3 Part 2: Solve differential…
From Daniel Friedrich
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Video showing how to use differentiation and integration to find the Fourier series of a function from known Fourier series.
Fourier series Week 3 Part 1: Differentiation and…
From Daniel Friedrich
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This video shows how we can use shape preserving transforms to calculate the Fourier series of the square pulse from the Fourier series of the square wave.
Fourier series Week 2 Example 4: Square pulse…
From Daniel Friedrich
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This example uses shape preserving transforms to calculate the Fourier series of a sawtooth function from the Fourier series of a sawtooth function with a different…
Fourier series Week 2 Example 3: Sawtooth…
From Daniel Friedrich
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Example calculating the full-range extension for the non-periodic square function.
Fourier series Week 2 Example 2: Full-range…
From Daniel Friedrich
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Example showing the calculation of the Fourier series of the sawtooth function.
Fourier series Week 2 Example 1: Sawtooth function
From Daniel Friedrich
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This video introduces shape preserving transformations and how these can be used to find the Fourier series from similar functions.
Fourier series Week 2 Part 5: Similar functions…
From Daniel Friedrich
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Fourier series Week 2 Part 4: Half-range odd… 13 of 15
Fourier series Week 2 Part 4: Half-range odd…
This video discusses the half-range odd extension of non-periodic functions.Fourier series Week 2 Part 4: Half-range odd…
From Daniel Friedrich
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Video introducing the half-range even extension for non-periodic functions.
Fourier series Week 2 Part 3: Half-range even…
From Daniel Friedrich
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This video extends the use of the Fourier series to non-periodic functions and introduces the full-range series.
Fourier Series Week 2 Part 2: Non-periodic…
From Daniel Friedrich
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