BE5B01DEN - Differential equations & Numerical methods

DEN: coronaversion

Information about the setup of the course and some coronaspecifics of assessment can be found here.

Resources:
• Videolectures for this course can be found in this Youtube playlist. A detailed description of contents can be found here.
Here is the contents of the seminar recordings.
• For other documents (syllabus, textbook etc.) see below.

Week 3 (March 1–7):
• Before Wednesday, watch the lectures 01a (you can skip the proof of relative error for rounding), 01b (you can skip the deducing part between 0:28 and 0:52), and 01c (you can skip the proofs of error order for the trapezoid and Simpson methods, but check out their geometric interpretation and experiments).
Slides for the lectures can be found here, here and here.
• If you want, solve the homework 03A (results on page 2).
• On Wednesday at 9:15 visit the seminar on Teams. Here is the (edited) recording and slides.
• Solve the obligatory homework 03B. Then submit it by Sunday midnight in a suitable form into the appropriate Assignment in teams and look forward to comments.
• On Wednesday 11:00 or Thursday 12:45 you can visit the consultation hours and ask about things that are not clear to you.
If you feel like playing with Maple, you can try to go through this worksheet.

Week 2 (February 22–28):
• Before Wednesday, watch the lecture 02b.
Slides for the lectures are the same as can be found previous week.
• If you want, solve the homework 02A (results on page 2).
• On Wednesday at 9:15 visit the seminar on Teams. Here is the (edited) recording and slides.
• Solve the obligatory homework 02B. Then submit it by Sunday midnight in a suitable form into the appropriate Assignment in teams and look forward to comments.
Here you find an official solution.
• On Wednesday 11:00 or Thursday 12:45 you can visit the consultation hours and ask about things that are not clear to you.

Week 1 (February 15–21):
• There are two introductions, pick whichever you feel like or watch both: 00, 000.
Definitely watch the lecture 02a, the key part is up to 1:16, then there are two more examples that are recommended but not crucial.
Then watch the lecture 02c, the last example is optional but recommended again.
Slides for the lectures can be found here, a compact version without white spaces for your notes is here.
• If you want, solve the homework 01A (results on page 2).
• On Wednesday at 9:15 visit the seminar on Teams. Here is the (edited) recording and slides.
• Perhaps you should really try homework A, although it is just optional, but you definitely should solve the obligatory homework 01B. Then submit it by Sunday midnight in a suitable form into the appropriate Assignment in teams and look forward to comments.
Here you find an official solution.
• If you feel any uneasiness regarding the topics, organization of the course or life in general, visit consultations on Teams at the time when the practical classes are scheduled (Wednesday 11:00 or Thursday 12:45) and ask. We will try to answer, at least the math questions we can usually handle.

 


Goodies:
syllabus - the most important information about the course.
Schedule of classes - weekly outlines of lectures and a special printable version of slides. We strongly recommend that you print them and take them with you to lectures.
• Information on midterm. Sample midterm.
Information on the final.
Sample final test.
• And if you survive three years here, you will want to look at outline of knowledge that is expected from you when you go for the final state examination.

Important information for the start: The classes take place at room 459, where every student has a terminal connected to the kepler server. A basic manual is here. You can do all the work for the course without having an account, just log-in as a guest.

Lecture notes for the course: Ordinary Differential Equations and Numerical Mathematics.

Solved problems: Here you will find problems of key types with detailed solutions.
 • 1. analysis of solutions.
 • 2. separable equations.
 • 3 & 4. linear equations.
 • 5. variation.
 • 6. & 7. systems.
 • numerical mathematics.

Practice problems: Most of them are of the right difficulty for exams.
 • 1. analysis of solutions.
 • 2. separable equations.
 • 3. homogeneous linear equations.
 • 4. linear equations.
 • 5. variation.
 • 6. homogeneous systems.
 • 7. systems.
 • numerical mathematics.

Maple:
If you want to use the library NumericalMethods on your computer, download the files
NumericalMethods.mla (library of procedures)
NumericalMethods.hdb (Help library) or NumericalMethods.help (Help library for version 18 or later)
and put them into the library folder of your Maple, the traditional place is .../Maple/lib/. Additional info can be found on the page Resources on Maple