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Worked solution for Question 1 from Exercise sheet ODE 1 from EM2A
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
September 12th, 2023 Retain Source File
Yes
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Video discussing the complex Fourier series
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
November 14th, 2020
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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 harmonic oscillator.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
November 9th, 2020
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Three examples showing the use of differentiation and integration to find Fourier series.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
November 9th, 2020
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Video showing how to solve differential equations with periodic forcing functions with the Fourier series.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
November 7th, 2020
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Video showing how to use differentiation and integration to find the Fourier series of a function from known Fourier series.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
November 7th, 2020
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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.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
October 26th, 2020
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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 period.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
October 26th, 2020
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Example calculating the full-range extension for the non-periodic square function.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
October 26th, 2020
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Example showing the calculation of the Fourier series of the sawtooth function.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
October 26th, 2020
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This video introduces shape preserving transformations and how these can be used to find the Fourier series from similar functions.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
October 26th, 2020
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This video discusses the half-range odd extension of non-periodic functions.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
October 25th, 2020
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Video introducing the half-range even extension for non-periodic functions.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
October 25th, 2020
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This video extends the use of the Fourier series to non-periodic functions and introduces the full-range series.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
October 24th, 2020
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This video introduces the Fourier series topic, gives some motivational examples and describes the syllabus.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
October 27th, 2020
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Step by step calculation of the Fourier series of the square wave.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
October 20th, 2020
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