Every summer semester
10 Credit points
For information on the duration of the modul, refer to the courses of study in which the module is used.
Non-official translation of the module descriptions. Only the German version is legally binding.
Students master the basic stochastic concepts and the confident use of the basic concepts of probability theory based in measure theory and statistics, i.e. they are able to model and analyse complex relationships using probabilistic structures as a basis for applications: They are able to model and analyse complex relationships using probabilistic structures as a basis for applications. They are able to carry out mathematical proofs in this area independently. They are confident in applying the methods of stochastics and can successfully transfer them to new problems in stochastics.
In the tutorials, students demonstrate the acquisition of skills in the basic techniques of mathematical work in the field of probability theory, the ability to apply the methods and conduct mathematical proofs under supervision as well as presentation and communication skills and perseverance as basic mathematical skills in through the study requirements. Further understanding of the contexts and concepts, independent proofs and confidence in applying the methods to new problems are demonstrated in the final exam.
Mathematical modelling of random phenomena, basic concepts of stochastics on a measure-theoretical basis:
Probability spaces, elementary distributions, random variables and their distributions
Competencies in analysis and linear algebra (cf. 24-B-MG1 and 24-B-MG2 or 24-B-AN and 24-B-LA) as well as in measure and integration theory (cf. 24-B-AN3 or 24-B-MI)
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The module cannot be studied together with module 24-B-EW-5.
Module structure: 1 SL, 1 bPr 1
| Allocated examiner | Workload | LP2 |
|---|---|---|
|
Teaching staff of the course
Tutorials for Introduction to Probabilty Theory
(exercise)
Regular completion of the exercises, each with a recognisable solution approach, as well as participation in the exercise groups for the module's lecture. As a rule, participation in the exercise group includes presenting solutions to exercises twice after being asked to do so as well as regular contributions to the scientific discussion in the exercise group, for example in the form of comments and questions on the proposed solutions presented. The organiser may replace some of the exercises with face-to-face exercises. |
see above |
see above
|
The (e-)portfolio is passed if
A remote written examination is not permitted as a final exam.
| Degree programme | Version | Profile | Recommended start 3 | Duration | Mandatory option 4 |
|---|---|---|---|---|---|
| Mathematical and Theoretical Physics / Master of Science [FsB vom 26.04.2024 mit Änderungen vom 29.05.2024 und 10.12.2024 und der Berichtigung vom 01.04.2025] | Admission Track Profile B | 1. o. 2. | one semester | Compulsory optional subject | |
| Mathematics / Bachelor of Science [FsB vom 28.02.2025] | Major Subject (Academic) | 4. o. 5. o. 6. | one semester | Compulsory optional subject | |
| Mathematics / Bachelor [FsB vom 28.02.2025] | Minor Subject (Academic), 60 CPs | 5. o. 6. | one semester | Compulsory optional subject | |
| Mathematical Economics / Bachelor of Science [FsB vom 28.02.2025 mit Berichtigung vom 30.04.2025] | Bachelor with One Core Subject (Academic) | 4. o. 5. | one semester | Obligation |
The system can perform an automatic check for completeness for this module.
Mathematical and Theoretical Physics / Master of Science // Admission Track Profile B
Mathematics / Bachelor of Science: Major Subject (Academic)
Mathematics / Bachelor: Minor Subject (Academic), 60 CPs
Mathematical Economics / Bachelor of Science: Bachelor with One Core Subject (Academic)