This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Module version of WS 2021/2 (current)
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
|available module versions|
|WS 2021/2||SS 2020||SS 2019||WS 2011/2||SS 2011|
MA2409 is a semester module in English language at Master’s level which is offered in summer semester.
This Module is included in the following catalogues within the study programs in physics.
- Catalogue of non-physics elective courses
- Specialization Modules in Elite-Master Program Theoretical and Mathematical Physics (TMP)
|Total workload||Contact hours||Credits (ECTS)|
|270 h||90 h||9 CP|
Content, Learning Outcome and Preconditions
- the theory of sequences of i.i.d. random variables, in particular laws of large numbers and the central limit theorem
- martingale theory.
Bachelor 2019: MA0001 Analysis 1, MA0002 Analysis 2, MA0003 Analysis 3, MA0009 Introduction to Probability Theory and Statistics
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
Please keep in mind that course announcements are regularly only completed in the semester before.
|VO||4||Probability Theory [MA2409]||Gantert, N.||
Tue, 08:15–09:45, virtuell
Fri, 08:30–10:00, virtuell
|UE||2||Exercises to Probability Theory [MA2409]||Bäumler, J. Gantert, N. Tokushige, Y.||dates in groups||
Learning and Teaching Methods
Achim Klenke: Probability Theory: A Comprehensive Course, Springer, 2008.
Description of exams and course work
Students have to know the basics of measure theoretical probability theory and can give adequate solutions to application problems in limited time. They have to deal with martingals.
The exam may be repeated at the end of the semester.
Current exam dates
Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.
|Fri, 2021-10-08, 14:15 till 15:45||einmalige Übungsleistung||till 2021-09-27 (cancelation of registration till 2021-10-01)|