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Modelling and Simulation with ODEs for MSE - WS 17/18

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  • 31.01.2018: I just uploaded the solution to Exercise sheet 12, which will be the last one in this course. Note that while we will still have tutorial next week, there will be no new problem sheet. Instead, the topics to be discussed in those tutorials is entirely up to you: You can either ask questions about any aspect of the lecture or previous exercises, or you can discuss problems from the test exam. Or, if no one has any questions, the tutorials will be cut short.
  • 11.01.2018: First of all, I wish all of you a good start into the new year. A lot later than announced, but I now finally uploaded the testexam. It is not directly planned to discuss every problem of it in detail in any of the tutorials. However, if a majority wishes one or more of the problems discussed, this can be done in any of the upcoming tutorials until the end of the lecture period. Moreover, I strongly encourage everyone to hand in some solutions, for you to get a feedback on how to write down your solutions, and on what may turn out important in the correction of the exam. This hand-in can be done from now on at any time until March 8th (i.e. one week before the actual exam).
  • 14.12.2017: The moved exercise times and rooms now have been confirmed -- Tue, 19.12.2017, 12:00 -- 13:30, in BC2 0.01.17 (different from the previously announced room), and Wed, 20.12.2017, 13:00 -- 14:30, in BC2 3.1.08.
  • 06.12.2017: Since I'm well aware that most (if not all) of you are eager to go home as early as possible (or convenient), we will move all exercises on Thursday 20th and Friday 21st. In their place there will be one exercise on Tuesday 18th, 14:00 - 15:30, in room 5507.3.707 (MW), and one on Wednesday 19th, in room BC2 3.1.08, 13:00 - 14:30. Please choose one of those two exercises at your convenience.
  • 06.12.2017: Ms. Arruda's exercise from Thursday 14th will be moved to Tuesday 12th, to be held in room 5507.03.707 (MW building) at 14:00-15:30. Students who can't make this new time slot (due to unavoidable collisions with other lectures) should try to go to one of the other exercise groups.
  • 06.12.2017: Tomorrow (Thursday 7th) is the Dies Academicus, with the central celebration at 10:00 - 13:00. However, in contrast to the student assemblies in November (where no lectures were allowed), the official regulation here is different: it is the lecturer's decision whether to cancel lectures to allow you to participate in any events. For that reason, the exercises on Thursday will proceed as planned -- but of course, as always, it is your own decision whether you attend them or not. On top of that there is also the alternative to attend Friday's exercises.
  • 01.11.2017: As it was just pointed out, until just now the exercise sheet had not been available. It seems like my last edit, including the link to the first problem sheet, had not been properly saved. I apologise for no double-checking. We will still discuss it in this week's tutorials, but not having more time for studying it yourself will bring no disadvantages for you. While the topics discussed this week are far from irrelevant for the theory, they won't be part of the exam. However, be aware that this will not be true for the second and following exercises, so as discussed in the tutorials, we strongly suggest to study the problems on your own, and hand them in if/when your time allows it. The feedback both sides (the students AND the tutors) receive from the corrections is invaluable.
  • 29.10.2017: The first problem sheet is now available. It can be handed in until 03.11. as discussed in the exercises, either in the post box in the basement of the MI-building, or directly during the tutorials.
  • 18.10.2017: In the first exercise next week we will do a short repetition about complex numbers and some linear algebra. Though from previous courses you may have heard all about that before, from past experience it is nevertheless highly recommended to pay attention. If you have questions yourselves, that’s your chance to ask. Otherwise basic knowledge of analysis (limits, continuous functions, mean value theorem etc.) and linear algebra will be expected, with repetitions only when absolutely necessary or the time permits.The first problem sheet will be published later next week, to be discussed in the second exercise.
  • 18.10.2017: Exercises begin next week. The registration for the exercise groups will be opened before long (today). There will be four groups, and the limits for the registration are chosen to try to get even group sizes. We recommend that you stick to your choice, as too large groups generally are rather counterproductive, but we won't really enforce it (unless the numbers become far too unbalanced).
  • 16.10.2017: Lecture webpage now available. Please check regularly for news!



Lecture   Tue    10:15 - 11:30   BC2 0.01.17
Lecture   Wed    10:00 - 11:00   BC2 0.01.17

Lecture start: 17.10.2017

Tutorials    Day    Time    Location    Tutor*in  
Group 1 Thur    08:30 - 10:00    BC2 0.01.16    Arruda     
Group 2 Thur    16:00 - 17:30    BC2 0.01.16    Hansen     
Group 3 Fri    12:30 - 14:00    5414.EG.002 (ZEI)    Stadler     
Group 4 Fri    12:30 - 14:00    5414.EG.003    Hansen     

Tutorial start: 26.10.2017

Exam    15.03.2018     11:00-12:00  MW 2001, Rudolf-Diesel-Hörsaal  

Lecture Slides


Slides    Date
Lecture 1   Oct. 17-18, 2017
Lecture 2   Oct. 24-25, 2017
Lecture 3   Nov. 7, 2017
Lecture 4   Nov. 14-15, 2017
Lecture 5   Nov. 21-22, 2017
Lecture 6   Nov. 28, 2017
Lecture 7   Nov. 29, 2017
Lecture 8   Dec. 5-6, 2017
Lecture 9   Dec. 12-13, 2017
Lecture 10   Dec. 19-20, 2017
Lecture 11   Jan. 09-10, 2018
Lecture 12   Jan. 16-17, 2018
Lecture 13   Jan. 23-24, 2018

Exercise Sheets


Sheet    Due Date    Solution
Exercise 1   Nov. 3, 2017    Solution 1
Exercise 2   Nov. 10, 2017    Solution 2
Exercise 3   Nov. 17, 2017    Solution 3
Exercise 4   Nov. 24, 2017    Solution 4
Exercise 5   Dec. 01, 2017    Solution 5
Exercise 6   Dec. 08, 2017    Solution 6
Exercise 7   Dec. 15, 2017    Solution 7
Exercise 8   Dec. 22, 2017    Solution 8
Exercise 9   Jan. 12, 2018    Solution 9
Exercise 10   Jan. 19, 2018    Solution 10
Exercise 11   Jan. 26, 2018    Solution 11
Exercise 12   Feb. 02, 2018    Solution 12

Testexam   Mar. 8, 2018    Solution



Advanced Engineering Mathematics, E. Kreyszig,2011 (10th edition)   
A first course in the Numerical Analysis of Differential Equations, A. Iserles,2009 (2nd edition)   
Lecture notes   
Numerical Programming 2 (CSE), M. Fornasier, here
Numerik der gewöhnlichen Differentialgleichungen, M. Fornasier, Lecture notes



  Person E-Mail Office
Lecturer   Massimo Fornasier   MI 02.10.058
Tutorial Organisation   Markus Hansen MI 02.10.020