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Fourier series Week 3 Part 3: Complex Fourier series

Video discussing the complex Fourier series

From  Daniel Friedrich 0 likes 317 plays 0  

Fourier series Week 3 Example 2: Harmonic oscillator

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.

From  Daniel Friedrich 0 likes 336 plays 0  

Fourier series Week 3 Example 1: Fourier series by differentiation or integration

Three examples showing the use of differentiation and integration to find Fourier series.

From  Daniel Friedrich 0 likes 406 plays 0  

Fourier series Week 3 Part 2: Solve differential equations with Fourier series

Video showing how to solve differential equations with periodic forcing functions with the Fourier series.

From  Daniel Friedrich 0 likes 421 plays 0  

Fourier series Week 3 Part 1: Differentiation and integration of Fourier series

Video showing how to use differentiation and integration to find the Fourier series of a function from known Fourier series.

From  Daniel Friedrich 0 likes 490 plays 0  

Fourier series Week 2 Example 4: Square pulse through similarity

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.

From  Daniel Friedrich 0 likes 407 plays 0  

Fourier series Week 2 Example 3: Sawtooth function again

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.

From  Daniel Friedrich 0 likes 460 plays 0  

Fourier series Week 2 Example 2: Full-range extension square function

Example calculating the full-range extension for the non-periodic square function.

From  Daniel Friedrich 0 likes 605 plays 0  

Fourier series Week 2 Example 1: Sawtooth function

Example showing the calculation of the Fourier series of the sawtooth function.

From  Daniel Friedrich 0 likes 541 plays 0  

Fourier series Week 2 Part 5: Similar functions and shape

This video introduces shape preserving transformations and how these can be used to find the Fourier series from similar functions.

From  Daniel Friedrich 0 likes 631 plays 0  

Fourier series Week 2 Part 4: Half-range odd extension

This video discusses the half-range odd extension of non-periodic functions.

From  Daniel Friedrich 0 likes 748 plays 0  

Fourier series Week 2 Part 3: Half-range even extension

Video introducing the half-range even extension for non-periodic functions.

From  Daniel Friedrich 0 likes 780 plays 0  

Fourier Series Week 2 Part 2: Non-periodic functions Full-range series

This video extends the use of the Fourier series to non-periodic functions and introduces the full-range series.

From  Daniel Friedrich 0 likes 621 plays 0  

Fourier series Week 1 Part 1: Introduction

This video introduces the Fourier series topic, gives some motivational examples and describes the syllabus.

From  Daniel Friedrich 0 likes 715 plays 0  

Fourier series Week 1 Example 1: Square wave

Step by step calculation of the Fourier series of the square wave.

From  Daniel Friedrich 0 likes 605 plays 0  

Fourier series Week 2 Part 1: Even and odd functions

This video discusses even and odd functions and how this can be used to simplify the calculation of the Fourier series coefficients.

From  Daniel Friedrich 0 likes 678 plays 0