After successful completion of the course, students are able to.understand and apply basic concepts and methods from advanced analysis, in particulat concerning
finite-dimensional function spaces, infinite-dimensional spaces (basics of function analysis), and complex analysis.

Advances concepts and methods of mathematical analysis, in particular in several variables. Analysisof functions of several variables: diefferentiation, integration; function spaces, Hilbert space methods, Fourier analysis, Sturm-Liouville problems; complex analysis-

Lecture including discussions; to some extent presentation of algorithms and numerical results via computer (if applicable).

format: hybrid

 written examination The examination comprises two parts (problem solving and questions about theory); the use of written material is not permitted.

-> TUWEL

Lecture notes for this course are available. See homepage of course.

Analysis I (TPH), Linear Algebra (TPH)