back to search

Operator Theory

MA5012Specialisation Modules9 ECTSEnglishEinmaligDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You will learn the fundamentals of spectral theory of operators, in particular spectra of operators, spectral theory for normal operators and functional calculus for different classes of operators. In the end you will be able to analyze and apply these tools to integral and differential operators.

What you will be able to do

  • Determine and interpret the spectrum of operators
  • Apply spectral theory for normal operators
  • Use the functional calculus for different classes of operators
  • Analyze applications to integral and differential operators

What the module consists of

  • LectureConveying the theoretical foundations and demonstrative examples
  • Übung/Practice sessionsWorking on exercises for deepening and independent verification of understanding; working on a course project towards the end of the semester

Teaching method

  • Lecture with examples and discussionto introduce the content and promote students' own analysis
  • Practice tasks in small groups or individuallyto deepen the material and to apply the methods independently
No dates in the current semester
There are no course dates for this module this semester, or they haven't been matched yet.

Module ratings

No ratings for this module yet.

Rate this module

Only fill in the categories you can judge – for each one, either stars and text together or nothing at all.

Lecture
Tutorial
Exam

Reviews are automatically checked before they are published.

Official page in TUMonline · Details are not binding.