Partial Differential Equations 1 Dag Nilsson

News

13.05.2022

ODE Revision Tutorial (19.05.22)

Next week's tutorial will be a recap of ODE theory, where we will review the basics for solving first- and second-order equations as well as some special examples that come from the study of PDEs.

If there are any particular topics you would like me to cover... Read more

Next week's tutorial will be a recap of ODE theory, where we will review the basics for solving first- and second-order equations as well as some special examples that come from the study of PDEs.

If there are any particular topics you would like me to cover during this tutorial, please let me know.

 

-Dan

11.05.2022

Exercise sheet 3

Exercise sheet 3 can now be found under materials. The deadline to hand this in is 18.05.2022.

05.05.2022

No tutorial today

As mentioned in the lecture yesterday, there will be no tutorial today.

The next tutorial will be on Thursday 12th of May (12.05.22) once the submissions for Exercise Sheet 2 have been marked.

 

27.04.2022

exercise sheet 2 and todays lecture

Exercise sheet 2 can now be found under materials. The deadline to hand this in is 04.05.2022.

 

Due to a technical error, todays lecture was unfortunately not recorded. We covered pages 34-41 during the lecture and next week we will continue on page... Read more

Exercise sheet 2 can now be found under materials. The deadline to hand this in is 04.05.2022.

 

Due to a technical error, todays lecture was unfortunately not recorded. We covered pages 34-41 during the lecture and next week we will continue on page 42.

22.04.2022

Updated lecture notes

The lecture notes have now been updated. On Monday next week I plan to finish the section on mean-square convergence and continue with section on the Fourier transform.

14.04.2022

ODE theory

Some students have asked regarding a reference for the basic theory of ordinary differential equations. What is needed for this course is essentially covered in sections 2.1-2.4, of "Advanced Engineering Mathematics, sixth edition", by Kreyszig. You could also have... Read more

Some students have asked regarding a reference for the basic theory of ordinary differential equations. What is needed for this course is essentially covered in sections 2.1-2.4, of "Advanced Engineering Mathematics, sixth edition", by Kreyszig. You could also have a look at section 2.7 of the same book where they consider the Euler equation, which appeared in Example 1.3 of my lecture notes. 

14.04.2022

Schedule for Tutorials

The tutorials are currently planned for each Thursday 14:00-16:00, starting on the 28th April.

The tutorials will take place in Seminarraum 4 E2.5.

13.04.2022

Exercise sheet 1 and updated lecture notes

Exercise sheet 1 can now be found under materials.

 

During todays lecture we covered pages 12-19, up until the proof of Corollary 2.7. We will continue next lecture with the proof of Corollary 2.7, and then continue with the section on Mean-square... Read more

Exercise sheet 1 can now be found under materials.

 

During todays lecture we covered pages 12-19, up until the proof of Corollary 2.7. We will continue next lecture with the proof of Corollary 2.7, and then continue with the section on Mean-square convergence.

 

Note that there is no lecture on Monday 18 of April due to the Easter holidays.

11.04.2022

Lecture 1

The lecture notes for the first lecture can now be found under materials. 

 

In todays lecture we covered pages 1-5 and started on Example 1.3. Please read the rest of Example 1.3 and Example 1.4.

Show all
 

Partial Differential Equations 1

This course serves as an introduction to linear partial differential equations. The main focus will be on the canonical examples of linear PDE's, namely Laplace's equation, the wave equation and the heat equation. Additionally the course contains introductions to Fourier analysis and distribution theory, tools  which are important for studying PDE's.

The lectures will take place on Mondays 12:00-14:00 and Wednesdays 14:00-16:00 in Hörsaal 4. The first lecture will be on 11.04.2022.

The tutorials will take place on Thursdays 14:00-16:00 in Seminarraum 4 E2.5. The first tutorial will be on 28.04.2022.

Under materials you can find a sheet with general information about the course.

The registration for the course will be open during the period 04.04.2022-22.04.2022.

 

Reading list

 

Video recordings of the lectures can be found under materials.



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