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Exercise sheet PDE 1: Question 1 worked example duration 15 minutes 28 seconds Exercise sheet PDE 1: Question 1 worked example Exercise sheet PDE 1: Question 1 worked example	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 em2a worked example example pde solution cosine wave sine condition conditions solutions derivative term form equation values method side hand times lambda height respect start From Daniel Friedrich 0 likes 21 plays 0 Course Code SCEE08009 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created December 5th, 2023 Retain Source File Yes
Exercise sheet Fourier series 1: Question 1a… duration 16 minutes 38 seconds Exercise sheet Fourier series 1: Question 1a… Exercise sheet Fourier series 1: Question 1a worked example	Exercise sheet Fourier series 1: Question 1a worked example Worked example showing the calculation of the Fourier series of a periodic function em2a fourier series worked example example pi function cosine minus period series term integral point derivative interval parts integration sine coefficients formula sketch 12p points exercise From Daniel Friedrich 0 likes 71 plays 0 Course Code SCEE08009 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created October 20th, 2023 Retain Source File Yes
Exercise sheet Laplace transform 3: Question 1ii… duration 15 minutes 43 seconds Exercise sheet Laplace transform 3: Question 1ii… Exercise sheet Laplace transform 3: Question 1ii worked example	Exercise sheet Laplace transform 3: Question 1ii worked example Solution of a system of differential equations with the Laplace transform method. em2a laplace transform example worked example equation capital cosine side derivative solution term root hand transform squared values condition steps times power domain equations parameters fractions From Daniel Friedrich 0 likes 61 plays 0 Course Code SCEE08009 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created October 20th, 2023 Retain Source File Yes
Exercise sheet ODE 1: Question 1 worked example duration 7 minutes 54 seconds Exercise sheet ODE 1: Question 1 worked example Exercise sheet ODE 1: Question 1 worked example	Exercise sheet ODE 1: Question 1 worked example Worked solution for Question 1 from Exercise sheet ODE 1 from EM2A em2a ode example functions matrix determinant basis power question rows columns values form sheet exercise solution questions diagonal zeros hand exponent function cases From Daniel Friedrich 0 likes 311 plays 0 Course Code SCEE08009 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created September 12th, 2023 Retain Source File Yes
Hyperbolic PDE Analytical methods Example 3:… duration 13 minutes 42 seconds Hyperbolic PDE Analytical methods Example 3:… Hyperbolic PDE Analytical methods Example 3: Laplace transform method example 9.16	Hyperbolic PDE Analytical methods Example 3: Laplace transform method example 9.16 Step by step solution of the wave equation with the Laplace transform method for example 9.16 from the textbook pde3 engineering mathematics example laplace transform hyperbolic equation laplace term string capital side hand solution infinity alpha times condition slide conditions domain displacement beta star velocity problem From Daniel Friedrich 0 likes 210 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created March 13th, 2021
Hyperbolic PDE Analytical methods Example 2:… duration 14 minutes 35 seconds Hyperbolic PDE Analytical methods Example 2:… Hyperbolic PDE Analytical methods Example 2: Separation of variables example 9.14	Hyperbolic PDE Analytical methods Example 2: Separation of variables example 9.14 Step by step solution of both cases from example 9.14. This example uses the method of separation of variables on the wave equation. pde3 engineering mathematics example wave equation hyperbolic From Daniel Friedrich 0 likes 234 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 27th, 2021
Hyperbolic PDE Analytical methods Example 1:… duration 14 minutes 59 seconds Hyperbolic PDE Analytical methods Example 1:… Hyperbolic PDE Analytical methods Example 1: Characteristics example 9.13	Hyperbolic PDE Analytical methods Example 1: Characteristics example 9.13 Step by step solution of example 9.13 which covers a wave equation problem solved by the method of characteristics. pde3 engineering mathematics example hyperbolic characteristics From Daniel Friedrich 0 likes 234 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 27th, 2021
Parabolic PDE Analytical methods Example 5:… duration 9 minutes 33 seconds Parabolic PDE Analytical methods Example 5:… Parabolic PDE Analytical methods Example 5: Radially symmetric heat conduction	Parabolic PDE Analytical methods Example 5: Radially symmetric heat conduction Step by step solution of the radially symmetric heat conduction or diffusion problem from example 9.24 pde3 engineering mathematics example parabolic spherical coordinate systems From Daniel Friedrich 0 likes 266 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 13th, 2021
Parabolic PDE Analytical methods Example 4:… duration 14 minutes 13 seconds Parabolic PDE Analytical methods Example 4:… Parabolic PDE Analytical methods Example 4: Laplace transform method example 9.23	Parabolic PDE Analytical methods Example 4: Laplace transform method example 9.23 Step by step solution of example 9.23 with the Laplace transform method pde3 engineering mathematics example parabolic solution equation laplace capital side hand delta condition infinity impulse dirac point transform domain diffusion root left times problem conduction From Daniel Friedrich 0 likes 466 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 6th, 2021
Parabolic PDE Analytical methods Example 3:… duration 12 minutes 27 seconds Parabolic PDE Analytical methods Example 3:… Parabolic PDE Analytical methods Example 3: Separated solution example 9.22	Parabolic PDE Analytical methods Example 3: Separated solution example 9.22 Step by step solution of the heat conduction or diffusion equation example 9.22 from the textbook pde3 engineering mathematics example parabolic From Daniel Friedrich 0 likes 358 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 4th, 2021
Parabolic PDE Analytical methods Example 2:… duration 10 minutes 42 seconds Parabolic PDE Analytical methods Example 2:… Parabolic PDE Analytical methods Example 2: Separated solution example 9.21	Parabolic PDE Analytical methods Example 2: Separated solution example 9.21 Step by step solution for example 9.21 from the textbook. pde3 engineering mathematics example parabolic From Daniel Friedrich 0 likes 368 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 3rd, 2021
Parabolic PDE Analytical methods Example 1:… duration 9 minutes 55 seconds Parabolic PDE Analytical methods Example 1:… Parabolic PDE Analytical methods Example 1: Separated solution example 9.20	Parabolic PDE Analytical methods Example 1: Separated solution example 9.20 Step by step solution for example 9.20 from the textbook. pde3 engineering mathematics example parabolic From Daniel Friedrich 0 likes 411 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 3rd, 2021
Elliptic PDE Analytical methods Example 5:… duration 14 minutes 28 seconds Elliptic PDE Analytical methods Example 5:… Elliptic PDE Analytical methods Example 5: Cylindrical coordinates	Elliptic PDE Analytical methods Example 5: Cylindrical coordinates Step by step example solving the Laplace equation on a circle where the upper half of the circle is held at a high temperature while the lower half is held at a low temperature. pde3 engineering mathematics example elliptic cylindrical solution capital theta pi cosine lambda sine circle values term radius condition coordinates equation series laplace integration power integer infinity From Daniel Friedrich 0 likes 751 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created January 27th, 2021
Elliptic PDE Analytical methods Example 4:… duration 15 minutes 4 seconds Elliptic PDE Analytical methods Example 4:… Elliptic PDE Analytical methods Example 4: Poisson's equation	Elliptic PDE Analytical methods Example 4: Poisson's equation Example video for Poisson's equation pde3 engineering mathematics example elliptic equation conditions hand side sine solution capital boundary laplace term naught function poisson respect problem series condition cosine inhomogeneity times From Daniel Friedrich 0 likes 402 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created January 23rd, 2021
Elliptic PDE Analytical methods Example 3:… duration 19 minutes 28 seconds Elliptic PDE Analytical methods Example 3:… Elliptic PDE Analytical methods Example 3: Separated solution with Fourier series	Elliptic PDE Analytical methods Example 3: Separated solution with Fourier series This video show how we can use the method of separation of variables together with the Fourier series to find the solution of the Laplace equation. A brief recap of the Fourier series is given at the… pde3 engineering mathematics elliptic example fourier series solution function star sine series extension condition equation period term sum capital conditions values solutions mu x. pi parameters infinity From Daniel Friedrich 0 likes 640 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created January 8th, 2021
Elliptic PDE Analytical methods Example 2:… duration 17 minutes 48 seconds Elliptic PDE Analytical methods Example 2:… Elliptic PDE Analytical methods Example 2: Separation of variables	Elliptic PDE Analytical methods Example 2: Separation of variables Example video showing how to use the method of separation of variables to calculate the solution to the Laplace equation. pde3 example elliptic engineering mathematics From Daniel Friedrich 0 likes 626 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created January 7th, 2021