Universität Wien

250066 VO Advanced partial differential equations (2023W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik
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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Tuesday 03.10. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 06.10. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 10.10. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 17.10. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 20.10. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 24.10. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 31.10. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 03.11. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 07.11. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 14.11. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 17.11. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 21.11. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 28.11. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 01.12. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 05.12. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 12.12. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 15.12. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 09.01. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 16.01. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 19.01. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 23.01. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 30.01. 16:45 - 18:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Partial differential equations occupy a central role in mathematics because they model
a wide variety of real-world systems. The course will aim to stress the importance of
both theory and applications of differential equations. After reviewing some basic aspects
of linear PDEs we will discuss methods and techniques that were developed to investigate
certain types of nonlinear PDEs.

Assessment and permitted materials

Take-home exam covering techniques and methods discussed during the lectures and
exemplified during the seminar.

Minimum requirements and assessment criteria

Familiarity with the details of the basic topics and an understanding of how
they apply to concrete examples of PDEs.

There is a take-home exam in the middle of the semester and a final written exam.
The take home exam counts 40% and the final 60%. Overall 50%-59% correspond
to a grade of 4, 60%-69% to grade 3, 70%-79% for grade 2, and at least 80% for grade 1.
Extra credit will be granted (up to 20%) for those who prepare a blackboard presentation on
a topic chosen two weeks in advance from a provided list of possible topics.

Examination topics

Working knowledege of the basic techniques and methods discussed during the lectures.

Reading list

Evans, Lawrence C. Partial differential equations. Second edition. Graduate Studies in Mathematics, 19. American Mathematical Society, Providence, RI, 2010.

Brezis, Haim Functional analysis, Sobolev spaces and partial differential equations. Universitext. Springer, New York, 2011.

Association in the course directory

MANP

Last modified: Fr 15.12.2023 12:26