V -Partielle Differentialgleichungen I (Ecker)
Course Content
A selection of topics from the following:
This is a BMS course and will be held in English.
Literature:
L.C. Evans, Partial Differential Equations
W.A. Strauss, Partial Differential Equations, an introduction
These books are available in the library.
Prerequisites: PDF
Lecture:
Tuesday 14:00 - 18:00, A6/SR 007/008
Tutorials:
Monday 12:00 - 14:00,
A3/SR 119
Monday 14:00 - 16:00,
A3/SR 019
The tutorials on Monday 29.4 will be used for revision of prerequisites from Analysis 2 and 3. For the topics refer to the prerequisites.
Active participation in the tutorials comprises the submission of correct solutions of at least 50 percent of the weekly excercises as well as presenting a solution at least once during the semester in one of the tutorials.
Participation in the tutorials in compulsary (Anwesenheitspflicht in den Übungsgruppen).
Problem sheets:
Sheet 1, due 30/04/2019 at 2 PM pdf
Sheet 2, due 07/05/2019 at 2 PM pdf
Sheet 3, due 14/05/2019 at 2 PM pdf
Sheet 4, due 21/05/2019 at 2 PM pdf
Sheet 5, due 04/06/2019 at 2 PM pdf
Sheet 6, due 11/06/2019 at 2 PM pdf
Sheet 7, due 18/06/2019 at 2 PM pdf
Sheet 8, due 25/06/2019 at 2 PM pdf
To give you enough time to revise the lecture material before solving problems, the first problem sheet will be handed out to you on Tuesday 23 April 2019, that is in week 3 of semester. This is due back on Tuesday 30 April 2019.
Since the 22.4.2019 is Easter Monday, the first tutorials will be on Monday 29 April 2019.
As you will not have handed in your solutions on that date I will take the opportunity to revise relevant material from Analysis 2 and 3 and from the PDE lectures. Because of the public holiday of Pentecost (Pfingsten) there will also be no tutorials on Monday 10 June 2019.
Please hand in your worked solutions in groups of three.
Written exam:
Tuesday 9 July, 2019 (2 - 4 pm in room A6/SR 007/008)
Klausurergebnisse: PDF
Opportunity to look at your exam results: 16 July, 2019, 2 - 3 pm in room 133 (Arnimallee 3)
Make-up exam: Monday 7 October, 2019, 12 - 2 pm in SR 032 (Arnimallee 6)
Make-up exam results: HTML
Opportunity to look at your make-upexam results: Thursday October 31, 12-1 in room 132 (Arnimallee 3, rear building)
V - Differentialgeometrie II (Ahmad Afuni)
Course Content
This course shall deal with Riemannian geometry in the large. It shall be a continuation of Differential Geometry I and also serve as preparation for modern developments in geometric analysis and mathematical physics. Its content shall be a selection of the following topics:
Literature: to be announced.
Lecture:
Tuesday 10:00 - 14:00, A6/SR 007/008
Notes:
pdf
Tutorial:
Wednesday 10:00 - 12:00,
SR 031/A7 (Arnimallee 7)
Tutorial sheets:
Sheet 1, due 03/05/2019 pdf
Sheet 2, due 10/05/2019 pdf
Sheet 3, due 17/05/2019 pdf
Sheet 4, due 24/05/2019 pdf
Sheet 5, due 31/05/2019 pdf
Sheet 6, due 07/06/2019 pdf
Sheet 7, due 14/06/2019 pdf
Sheet 8, due 21/06/2019 pdf
Sheet 9, due 02/07/2019 pdf
Written exam:
Wednesday 10 July, 2019 at 10 AM sharp, SR 031/A7 (Arnimallee 7)
Formula sheet
S - Forschungsseminar Geometrische Analysis (Ecker)
Forschungsseminar Geometrische Analysis
Monday 16:00 - 18:00, SR 130/A3 (Arnimallee 3 HH)
This seminar is recommended for MSc and PhD.
S - Seminar Partielle Differentialgleichungen (Ecker)
Inhalt:
This seminar can be taken concurrently with the lecture course on Introduction to Partial Differential Equations.
It may serve as the basis for a BSc and/or MSc project.
Updated information sheet including final list of talks:
PDF
Location and venue:
Monday 10:00- 12:00,
SR 130/A3 Seminarraum (Arnimallee 3 HH)
There will be a second short organizational meeting on Monday 06.05.2019 at 11.30 am (sharp) in room 130/A3HH. Attendance at this meeting is compulsory. Please carefully read the updated information sheet beforehand.
The first talk will be on Monday 20.05.2019. I have been able to accommodate all your requests regarding the topics.
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