Discrete Stochastics - Interactive curriculae of TU Ilmenau
The interactive curriculae provide information on the degree programmes offered by the TU Ilmenau.
Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).
You can find all details on planned lectures and classes in the course catalogue.
Please note that this page is no longer updated. All modules and study plans from PO version 2021 onwards (Bachelor and Master study programs) are now available on the Campus Portal.
| module properties module number 200401 - common information | |
|---|---|
| module number | 200401 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 2412 (Probability Theory and Mathematical Statistics) |
| module leader | Prof. Dr. Thomas Hotz |
| language | Deutsch |
| term | Sommersemester |
| previous knowledge and experience | Analysis 1, Lineare Algebra 1 |
| learning outcome | Die Studierenden sind in der Lage, Zufallsexperimente zu modellieren, derartige Modelle zu simulieren, kritisch zu bewerten und zu analysieren. Ferner sind sie mit den Grundbegriffen der Statistik vertraut und können mit ihrer Hilfe rechnergestützt Daten analysieren. |
| content | Diskrete Wahrscheinlichkeitsräume, bedingte Wahrscheinlichkeiten, Zufallsvariablen, diskrete Verteilungen, Erwartungswert und Varianz, Gesetze der großen und der kleinen Zahlen, beschreibende Statistik, statistisches Modell, Punktschätzer und ihre Eigenschaften, Momenten- und Maximum-Likelihood-Schätzer, Konfidenzbereiche, Vorhersagen |
| media of instruction and technical requirements for education and examination in case of online participation | Tafel, Skript, Aufgaben, Software |
| literature / references | Henze, N.: Stochastik für Einsteiger. 12. Aufl., Springer, 2018. |
| evaluation of teaching | |
| Details reference subject | |
|---|---|
| module name | Discrete Stochastics |
| examination number | 2400752 |
| credit points | 5 |
| SWS | 4 (2 V, 2 Ü, 0 P) |
| on-campus program (h) | 45 |
| self-study (h) | 105 |
| obligation | obligatory module |
| exam | oral examination performance, 30 minutes |
| details of the certificate | |
| link to Moodle course | |
| teacher | |
| signup details for alternative examinations | |
| maximum number of participants | |
| Details in degree program Bachelor Mathematik 2021 | |
|---|---|
| module name | Discrete Stochastics |
| examination number | 2400752 |
| credit points | 5 |
| on-campus program (h) | 45 |
| self-study (h) | 105 |
| obligation | obligatory module |
| exam | oral examination performance, 30 minutes |
| details of the certificate | |
| link to Moodle course | |
| signup details for alternative examinations | |
| maximum number of participants | |