Technische Universität Ilmenau

Probability Theory - Modultafeln of TU Ilmenau

The Modultafeln have a pure informational character. If you find information that seems to be incorrect, please contact modulkatalog@tu-ilmenau.de.

The legally binding information can be found in the corresponding Studienplan and Modulhandbuch, which are served on the pages of the course offers.
Information on the room and time of planned courses can be found in the e-calendar of events.

module properties module number 851 - common information
module number851
departmentDepartment of Mathematics and Natural Sciences
ID of group2412 (Group for 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

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
examoral examination performance, 30 minutes
details of the certificate
Signup details for alternative examinations
maximum number of participants
Details in major 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
examoral examination performance, 30 minutes
details of the certificate
Signup details for alternative examinations
maximum number of participants
Details in major Bachelor Mathematik 2009, Bachelor Mathematik 2013
module nameProbability Theory
examination number2400395
credit points7
on-campus program (h)56
self-study (h)154
Obligationobligatory
examoral examination performance, 30 minutes
details of the certificate
Signup details for alternative examinations
maximum number of participants