Syllabus

Title
1618 Functional Analysis
Instructors
ao.Univ.Prof. Dr. Klaus Pötzelberger
Contact details
  • Type
    PI
  • Weekly hours
    2
  • Language of instruction
    Englisch
Registration
09/21/21 to 10/01/21
Registration via LPIS
Notes to the course
Subject(s) Doctoral/PhD Programs
Dates
Day Date Time Room
Thursday 10/07/21 12:00 PM - 02:00 PM D4.0.127
Thursday 10/14/21 08:00 AM - 10:00 AM D4.0.039
Thursday 10/21/21 12:00 PM - 02:00 PM D4.0.039
Thursday 10/28/21 12:00 PM - 02:00 PM D4.0.039
Thursday 11/04/21 12:00 PM - 02:00 PM D4.0.039
Thursday 11/11/21 12:00 PM - 02:00 PM D4.0.039
Thursday 11/18/21 12:00 PM - 02:00 PM D4.0.039
Thursday 11/25/21 12:00 PM - 02:00 PM Online-Einheit
Thursday 12/02/21 12:00 PM - 02:00 PM Online-Einheit
Thursday 12/09/21 12:00 PM - 02:00 PM Online-Einheit

Contents

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

Learning outcomes

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

Attendance requirements

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

Teaching/learning method(s)

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.

Assessment

  • 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.

Availability of lecturer(s)

Klaus.Poetzelberger@wu.ac.at

Last edited: 2021-04-27



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