Technische Universität Ilmenau

Probability Theory - Modultafeln of TU Ilmenau

The module lists 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 electronic university catalogue.

Information and guidance on the maintenance of module descriptions by the module officers are provided at Module maintenance.

Please send information on missing or incorrect module descriptions directly to modulkatalog@tu-ilmenau.de.

module properties module number 851 - common information
module number851
departmentDepartment of Mathematics and Natural Sciences
ID of group2412 (Probability Theory and Mathematical Statistics)
module leaderProf. Dr. Thomas Hotz
languageDeutsch
term Sommersemester
previous knowledge and experience

Maßtheorie; Analysis 1-3

learning outcome

Die Studierenden sind in der Lage, Zufallsexperimente zu modellieren, derartige Modelle kritisch zu bewerten, und - insbesondere ihr asymptotisches Verhalten - zu analysieren.

content

Wahrscheinlichkeiten, Zufallsvariablen, Verteilungen, Konvergenz, Gesetze der großen Zahlen, zentraler Grenzwertsatz, bedingte Erwartungswerte und Wahrscheinlichkeiten

media of instruction and technical requirements for education and examination in case of online participation

Tafel, Skript, Aufgaben, Software

literature / references

Klenke, A. (2006). Wahrscheinlichkeitstheorie, 3rd edn, Springer, Berlin.
Durrett, R. (1996). Probability: Theory and Examples, 2nd edn, Wadsworth Publishing Company, Belmont, CA.
Ross, S. M. and Peköz, E. A. (2007). A Second Course in Probability, www.ProbabilityBookstore.com, Boston, MA.
Krengel, U. (1998). Einführung in die Wahrscheinlichkeitstheorie und Statistik, 4th edn, vieweg, Braunschweig.

evaluation of teaching

Pflichtevaluation:

SS 2014 (Fach)

Freiwillige Evaluation:

Hospitation:

Details reference subject
module nameProbability Theory
examination number2400395
credit points5
SWS4
on-campus program (h)45
self-study (h)105
obligationobligatory module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program polyvalenter Bachelor Polyvalenter Bachelor mit Lehramtsoption für berufsbildende Schulen - Metalltechnik 2013 (MA), polyvalenter Bachelor Polyvalenter Bachelor mit Lehramtsoption für berufsbildende Schulen - Elektrotechnik 2013 (MA)
module nameProbability Theory
examination number2400395
credit points5
on-campus program (h)45
self-study (h)105
obligationobligatory module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Bachelor Mathematik 2009, Bachelor Mathematik 2013
module nameProbability Theory
examination number2400395
credit points7
on-campus program (h)56
self-study (h)154
obligationobligatory module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants