Module MA2510-KP04, MA2510
Stochastics 1 (Stoch1)
Duration
1 Semester
Turnus of offer
each summer semester
Credit points
4
Course of studies, specific fields and terms:
- Minor in Teaching Mathematics, Bachelor of Arts 2023, compulsory, mathematics
- Bachelor CLS 2023, compulsory, mathematics
- Bachelor MES 2020, optional subject, mathematics / natural sciences
- Bachelor Computer Science 2019, compulsory, mathematics
- Bachelor Robotics and Autonomous Systems 2020 , compulsory, mathematics
- Bachelor Medical Informatics 2019, optional subject, mathematics
- Minor in Teaching Mathematics, Bachelor of Arts 2017, compulsory, mathematics
- Bachelor Computer Science 2016, compulsory, mathematics
- Bachelor CLS 2016, compulsory, mathematics
- Bachelor Robotics and Autonomous Systems 2016, compulsory, mathematics
- Bachelor IT-Security 2016, compulsory, mathematics
- Bachelor Biophysics 2016, optional subject, mathematics
- Bachelor Medical Informatics 2014, optional subject, mathematics
- Bachelor MES 2014, optional subject, mathematics / natural sciences
- Bachelor Computer Science 2014, compulsory, mathematics
- Bachelor Computer Science 2012, compulsory, mathematics
- Bachelor MES 2011, compulsory, mathematics
- Bachelor CLS 2010, compulsory, mathematics
Classes and lectures:
- Stochastic 1 (exercise, 1 SWS)
- Stochastics 1 (lecture, 2 SWS)
Workload:
- 45 hours in-classroom work
- 65 hours private studies and exercises
- 10 hours exam preparation
Contents of teaching:
- probability spaces
- basics of combinatorics
- conditional probability and stochastic independency
- random variables
- important discrete and continuous one-dimensional probability distributions
- characteristics of distributions
- law of large numbers, central limit theorem
- modeling examples from the life sciences
Qualification-goals/Competencies:
- Students are able to explain basic stochastic models formally correct and in the context of their application
- They are able to formalize stochastic problems
- They are able to identify basic combinatorial patterns and to use them for solving stochastic problems
- They understand central statements of elementary stochastics
Grading through:
- written exam
Is requisite for:
- Stochastic processes (MA4610-KP05)
- Stochastic processes and modeling (MA4610-KP04, MA4610)
- Modeling Biological Systems (MA4450-KP08, MA4450-MML)
- Modeling Biological Systems (MA4450-KP07)
- Module part: Modeling Biological Systems (MA4450 T-INF)
- Module part: Modeling Biological Systems (MA4450 T)
- Modeling Biological Systems (MA4450)
- Modeling (MA4449-KP07)
- Module part: Stochastics 2 (MA4020 T)
- Stochastics 2 (MA4020-KP05)
- Stochastics 2 (MA4020-MML)
- Stochastics 2 (MA4020-KP04, MA4020)
Responsible for this module:
Literature:
- N. Henze : Stochastik für Einsteiger Vieweg
- U. Krengel : Einführung in die Wahrscheinlichkeitstheorie Vieweg
Language:
- offered only in German
Notes:
Admission requirements for taking the module:- None
Admission requirements for participation in module examination(s):
- Successful completion of homework assignments during the semester
Module exam(s):
- MA2510-L1: Stochastics 1, written exam, 90 min, 100 % of module grade
Last Updated:
24.07.2023