Syllabus

Titel
2092 Introduction to Modern (Functional) Analysis
LV-Leiter/innen
ao.Univ.Prof. Dr. Klaus Pötzelberger
Kontakt
  • LV-Typ
    PI
  • Semesterstunden
    2
  • Unterrichtssprache
    Englisch
Anmeldung
09.09.2019 bis 27.09.2019
Anmeldung über LPIS
Hinweise zur LV
Planpunkt(e) Doktorat/PhD
Termine
Wochentag Datum Uhrzeit Raum
Donnerstag 03.10.2019 09:00 - 11:00 TC.4.13
Donnerstag 10.10.2019 09:00 - 11:00 TC.4.13
Donnerstag 17.10.2019 09:00 - 11:00 TC.4.13
Donnerstag 24.10.2019 09:00 - 11:00 TC.4.13
Donnerstag 31.10.2019 09:00 - 11:00 TC.4.13
Donnerstag 07.11.2019 09:00 - 11:00 TC.4.13
Donnerstag 14.11.2019 09:00 - 11:00 TC.4.13
Donnerstag 21.11.2019 09:00 - 11:00 TC.4.13
Donnerstag 28.11.2019 09:00 - 11:00 TC.4.13
Donnerstag 05.12.2019 09:00 - 11:00 TC.4.13
Donnerstag 12.12.2019 09:00 - 11:00 TC.4.13
Donnerstag 19.12.2019 09:00 - 11:00 TC.4.13

Inhalte der LV

Preliminaries; Approximation of Functions; Hilbert Spaces; Banach Spaces; Fourier Transformation;  Bounded Operators; Fixed-Point Theorems;

Lernergebnisse (Learning Outcomes)

The course provides mathematical techniques to undestand and apply results on real analysis, functional analysis, operator theory.

Regelung zur Anwesenheit

For this lecture participation is obligatory. Students are allowed to miss a maximum of 20% (no matter if excused or not excused).

Lehr-/Lerndesign

The class is taught as a lecture accompanied with homework assignments. The lectures are aimed at providing the theoretical framework, while miniexams check the study progress.

Leistung(en) für eine Beurteilung

  • 20% presentation of worked examples
  • 40% homework and discussion of results
  • 40% written endterm exam

For the written final exam the assessment will be based on the ability to describe and apply the key concepts discussed throughout the course and to choose the appropriate analytical techniques to obtain the relevant information. The  endterm exam cannot be retaken. Students need to get at least 50% of the possible points to pass this course.

Erreichbarkeit des/der Vortragenden

Klaus.Poetzelberger@wu.ac.at

Zuletzt bearbeitet: 06.05.2019



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