# Search for tag: "em2a"

#### Exercise sheet PDE 1: Question 1 worked example

Worked example showing the application of the separated solution and the d'Alembert methods to the 1D wave equation

From  Daniel Friedrich 0 likes 26 plays 0

#### Exercise sheet Fourier series 1: Question 1a worked example

Worked example showing the calculation of the Fourier series of a periodic function

From  Daniel Friedrich 0 likes 76 plays 0

#### Exercise sheet Laplace transform 3: Question 1ii worked example

Solution of a system of differential equations with the Laplace transform method.

From  Daniel Friedrich 0 likes 65 plays 0

#### Exercise sheet ODE 1: Question 1 worked example

Worked solution for Question 1 from Exercise sheet ODE 1 from EM2A

From  Daniel Friedrich 0 likes 317 plays 0

#### Fourier series Week 3 Part 3: Complex Fourier series

Video discussing the complex Fourier series

From  Daniel Friedrich 0 likes 460 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 671 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 603 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 625 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 763 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 607 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 726 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 913 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 889 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 930 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 1,120 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 1,178 plays 0