Analysis Track
Despite all the module handbooks and course information, it is not always easy to find your way through the variety of courses and to structure your studies (B.Sc. and M.Sc. Mathematics) in a meaningful way. With this page, we want to make it easier for you to find your way into Analysis.
Overview
| Sem | Veranstaltung | Modul |
|---|---|---|
| 1 | Analysis I | Analysis I |
| 2 | Analysis II | Analysis II |
| 3 | Analysis III | Fortgeschrittene analytische Methoden |
| 4 | Funktionentheorie | Grundlagen Bachelor Analysis |
| 5-7 | Funktionalanalysis | Grundlagen Bachelor Analysis Spezialisierung Bachelor Analysis Vertiefung/Wahlpflicht Master |
| 5-10 | Partielle Differentialgleichungen Pseudodifferentialoperatoren Indextheorie Spezial-VL nach Ankündigung | Spezialisierung Bachelor Analysis Vertiefung/Wahlpflicht Master |
| 7-10 | Operatortheorie Spektraltheorie Variationsrechnung Spezial-VL nach Ankündigung | Vertiefung/Wahlpflicht Master |
Explanation
Analysis cycle
In the first 3 semesters, the analysis cycle equips you for analysis.
Elective options in the Bachelor's degree
In the Bachelor's degree, you can choose courses for the two modules Fundamentals and Specialization. In the area of analysis, the most suitable courses are function theory (complex analysis, analysis II in the complex) and functional analysis (function spaces, infinite-dimensional linear algebra), which are required for all further lectures (not only) in pure and applied analysis.
Elective options in the Master's program
In the Master's program, students must choose courses for the advanced and compulsory elective modules. Lectures from the field of analysis can be combined as desired in order to achieve the required ECTS.
Many courses can be used for several modules. Some build on each other. Prerequisites can usually be found in the announcements. If you have any questions, please contact us!
