Main content
Elementary Stochastics
(dt. Elementare Stochastik)
Level, degree of commitment | Advanced module, required module |
Forms of teaching and learning, workload |
Lecture (4 SWS), recitation class (2 SWS), 270 hours (attendance in den Lehrveranstaltungen 90 h, 150 h preparation and follow-up inklusive Studienleistungen, 30 h Vorbereitung and Ablegen von Prüfungsleistungen) |
Credit points, formal requirements |
9 CP Course requirement(s): Successful completion of at least 50% of the weekly exercises. The coursework is a prerequisite for admission to the module examination. Examination type: Written examination (90-120 min.) |
Language, Grading |
German,The grading is done with 0 to 15 points according to the examination regulations for the degree program LAaG Mathematics. In the event of failure, a total of 4 attempts are available for the examination. |
Duration, frequency |
One semester, Jedes zweite Semester |
Person in charge of the module's outline | Prof. Dr. Hajo Holzmann |
Contents
Scientific contents:
- probability space, events, discrete probability distributions, combinatorics
- conditional probability, independence, random variables, expected value, conditional expected value, variance, covariance, correlation, moments, general probability spaces and random variables
- law of large numbers and central limit theorem,
- descriptive statistics and data types
- elements of inferential statistics: estimates, confidence sets,
- hypothesis testing
Didactic contents:
Tasks and short lectures in the exercises on teaching related topics of elementary stochastics as well as projects on selected topics of school mathematics in connection with the current lecture material. Basic terms and topics are given special consideration, e.g.
- from the intuitive concept of probability to axiomatics
- historical aspects of probability theory
- statistical (mis)interpretations of everyday examples
Qualification Goals
The students are familiar with the basic concepts of stochastics, can apply them to concrete tasks and assess their possible applications in class.
Prerequisites
None. The competences taught in the following modules are recommended: Analysis I, Analysis II, Linear Algebra incl. Foundations of Mathematics.
Applicability
The module can be attended at FB12 in study program(s)
- LAaG Mathematics
When studying LAaG Mathematics, this module must be completed in the study area Advanced Modules.
Recommended Reading
(not specified)
Please note:
This page describes a module according to the latest valid module guide in Winter semester 2023/24. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:
- Winter 2016/17
- Summer 2018
- Winter 2018/19
- Winter 2019/20
- Winter 2020/21
- Summer 2021
- Winter 2021/22
- Winter 2022/23
- Winter 2023/24
The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.
The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.