312.105 (21W) Functional Analysis, exercises
Überblick
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- Lehrende/r
- LV-Titel englisch Functional Analysis, exercises
- LV-Art Übung (prüfungsimmanente LV )
- LV-Modell Präsenzlehrveranstaltung
- Semesterstunde/n 2.0
- ECTS-Anrechnungspunkte 4.0
- Anmeldungen 10 (25 max.)
- Organisationseinheit
- Unterrichtssprache Englisch
- LV-Beginn 07.10.2021
- eLearning zum Moodle-Kurs
Zeit und Ort
LV-Beschreibung
Intendierte Lernergebnisse
After successful completion of this course, students will be able to:
- Understand fundamental concepts and results of Functional Analysis;
- Apply the results to solve various problems and thoroughly explain the theorems.
Lehrmethodik
Students have to solve weekly problem sets. In the exercise class, students are expected to present their solutions on the board.
Inhalt/e
See more at https://campus.aau.at/studium/course/106010.
Erwartete Vorkenntnisse
It is strongly recommended to attend the course "Einführung in die Funktionalanalysis" before the course "Functional Analysis.
Curriculare Anmeldevoraussetzungen
See the lecture.
Literatur
- Christian Clason (University of Graz), Introduction to Functional Analysis, Compact Textbooks in Mathematics, Springer, 2020.
Lecture notes on Functional Analysis (in German): https://www.uni-due.de/~adf040p/skripte/FunktAnSkript15.pdf.
Gerald Teschl (University of Vienna), Topics in Real and Functional Analysis, Graduate Studies in Mathematics, Amer. Math. Soc., Providence, to appear.
Link auf weitere Informationen
https://www.mat.univie.ac.at/~gerald/ftp/book-fa/fa.pdfPrüfungsinformationen
Prüfungsmethode/n
The exercise sheet is uploaded to Moodle a week before the class. All students are encouraged to do the assignments weekly. Presence is required when crossing the assignments on the Kreuzsystem.
The final grade relies on regularly doing the exercises and good presentation. During the semester, one student is supposed to present the solutions on the board at least two times.
In total, there are 100 points. The number of exercises solved counts 70 points, the presentation in total counts 30 points.
Students gain some bonus points by actively participating in the activities of the class.
The point scheme is as follows:
100-86 points: | 1 |
85-75 points: | 2 |
74-62 points: | 3 |
61-50 points: | 4 |
49-0 points: | 5 |
Beurteilungskriterien/-maßstäbe
The mark depends on the number of points the student achieves (by solving exercises, presenting solutions and taking part in activities of the class).
Beurteilungsschema
Note BenotungsschemaPosition im Curriculum
- Doktoratsprogramm Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(SKZ: ---, Version: 16W.1)
-
Fach: Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(Pflichtfach)
-
Modeling-Analysis - Optimization of discrete, continuous and stochastic systems (
0.0h XX / 0.0 ECTS)
- 312.105 Functional Analysis, exercises (2.0h UE / 4.0 ECTS)
-
Modeling-Analysis - Optimization of discrete, continuous and stochastic systems (
0.0h XX / 0.0 ECTS)
-
Fach: Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(Pflichtfach)
- Masterstudium Mathematics
(SKZ: 401, Version: 18W.1)
-
Fach: Analysis
(Pflichtfach)
-
1.1 Functional Analysis (
2.0h UE / 4.0 ECTS)
- 312.105 Functional Analysis, exercises (2.0h UE / 4.0 ECTS)
-
1.1 Functional Analysis (
2.0h UE / 4.0 ECTS)
-
Fach: Analysis
(Pflichtfach)
- Masterstudium Technische Mathematik
(SKZ: 401, Version: 13W.1)
-
Fach: Angewandte Analysis
(Wahlfach)
-
Dynamische Systeme 2 (
3.0h VU / 6.0 ECTS)
- 312.105 Functional Analysis, exercises (2.0h UE / 4.0 ECTS)
-
Dynamische Systeme 2 (
3.0h VU / 6.0 ECTS)
-
Fach: Angewandte Analysis
(Wahlfach)
- Doktoratsstudium Doktoratsstudium der Technischen Wissenschaften
(SKZ: 786, Version: 12W.4)
-
Fach: Studienleistungen gem. § 3 Abs. 2a des Curriculums
(Pflichtfach)
-
Studienleistungen gem. § 3 Abs. 2a des Curriculums (
16.0h XX / 32.0 ECTS)
- 312.105 Functional Analysis, exercises (2.0h UE / 4.0 ECTS)
-
Studienleistungen gem. § 3 Abs. 2a des Curriculums (
16.0h XX / 32.0 ECTS)
-
Fach: Studienleistungen gem. § 3 Abs. 2a des Curriculums
(Pflichtfach)