311.170 (13W) Stochastics 1
Overview
- Lecturer
- Course title german Stochastik 1
- Type Lecture
- Hours per Week 2.0
- ECTS credits 3.0
- Registrations 146
- Organisational unit
- Language of instruction German
- Course begins on 11.10.2013
Time and place
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Course Information
Teaching methodology including the use of eLearning tools
LectureCourse content
Topics
- 1 Random situations and probabilties
- Including conditional probabilitiesand Bayes formula
- 2 Random variables and distributions
- Types and parameters of distributions (includ. Cebychov's inequality)
- Discrete and continuous distributions
- Amendments (Measure theory, interpretation of concepts, technology)
- 3 Joint distributions and limit theorems
- Including weak law of large numbers and central limit theorem
- Amendments (Multivariate normal, Poisson process, Simulation)
- 4 Random samples and statistical inference
- Including statistics from normal samples (chi-square, t, F distributions)
- Amendments (confidence intervals for unknown parameters; random numbers)
Teaching objective
To develop competencies to recognize and model real situations by probabilistic notions.Prior knowledge expected
Knowledge from secondary schools; first course of calculus at university; simple combinatorial counting methods.Literature
M. Borovcnik: Stochastik 1. Klagenfurt. Mosler, K. & Schmid, F. (2010). Wahrscheinlichkeitsrechnung und schließende Statistik. Berlin: Springer. Grinstead, C.M. & Snell, J.L. (2005). Introduction to Probability. Raleigh: American Mathematical Society (AMS). Online: http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/amsbook.mac.pdfExamination information
Im Fall von online durchgeführten Prüfungen sind die Standards zu beachten, die die technischen Geräte der Studierenden erfüllen müssen, um an diesen Prüfungen teilnehmen zu können.
Examination topic(s)
i. themes (overview questions; no materials, textbooks etc. admitted) ii. tasks (similar to the exercises during the term; extra material and excel or R as software allowed).Assessment criteria / Standards of assessment for examinations
Written exam paper with 2 parts: i. theory (weight/time 2); ii. tasks (weight/time 1)Grading scheme
Grade / Grade grading schemePosition in the curriculum
- Teacher training programme Mathematics (Secondary School Teacher Accreditation)
(SKZ: 406, Version: 04W.7)
-
Stage two
-
Subject: Stochastik (LM 2.3.)
(Compulsory subject)
-
Stochastik I und II (
4.0h VO / 5.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS)
-
Stochastik I und II (
4.0h VO / 5.0 ECTS)
-
Subject: Stochastik (LM 2.3.)
(Compulsory subject)
-
Stage two
- Bachelor's degree programme Applied Informatics
(SKZ: 511, Version: 12W.1)
-
Subject: Mathematics and Theoretical Principles
(Compulsory subject)
-
Stochastik 1 (
2.0h VO / 2.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS) Absolvierung im 3. Semester empfohlen
-
Stochastik 1 (
2.0h VO / 2.0 ECTS)
-
Subject: Mathematics and Theoretical Principles
(Compulsory subject)
- Bachelorstudium Informatik
(SKZ: 521, Version: 09W.3)
-
Subject: Mathematik und theoretische Grundlagen
(Compulsory subject)
-
Stochastik (
2.0h VO / 2.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS)
-
Stochastik (
2.0h VO / 2.0 ECTS)
-
Subject: Mathematik und theoretische Grundlagen
(Compulsory subject)
- Bachelor's degree programme Information Management
(SKZ: 522, Version: 12W.1)
-
Subject: Wahlfach Mathematik und Statistik (Informatik)
(Compulsory elective)
-
1.1.2 Stochastik (
0.0h VO / 2.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS)
-
1.1.2 Stochastik (
0.0h VO / 2.0 ECTS)
-
Subject: Wahlfach Mathematik und Statistik (Informatik)
(Compulsory elective)
- Bachelor's degree programme Information Management
(SKZ: 522, Version: 05W.4)
-
Subject: Fächerkombination A
(Compulsory elective)
-
Module: Fächerkombination A - Formale Grundlagen I
-
Stochastik (
2.0h VO / 3.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS)
-
Stochastik (
2.0h VO / 3.0 ECTS)
-
Module: Fächerkombination A - Formale Grundlagen I
-
Subject: Fächerkombination A
(Compulsory elective)
- Bachelor's degree programme Information Technology
(SKZ: 289, Version: 12W.2)
-
Subject: Höhere Mathematik II
(Compulsory elective)
-
Stochastik 1 (
2.0h VO / 3.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS) Absolvierung im 3. Semester empfohlen
-
Stochastik 1 (
2.0h VO / 3.0 ECTS)
-
Subject: Höhere Mathematik II
(Compulsory elective)
- Bachelor's degree programme Information Technology
(SKZ: 289, Version: 12W.2)
-
Subject: Informationstechnische Vertiefung sowie mathematische Ergänzung
(Compulsory elective)
-
Wahl von Lehrveranstaltungen (
0.0h VK/VO/KU / 8.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS)
-
Wahl von Lehrveranstaltungen (
0.0h VK/VO/KU / 8.0 ECTS)
-
Subject: Informationstechnische Vertiefung sowie mathematische Ergänzung
(Compulsory elective)
- Bachelor's degree programme Information Technology
(SKZ: 289, Version: 09W.2)
-
Subject: Höhere Mathematik II
(Compulsory subject)
-
Stochastik I (
2.0h VO / 2.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 2.0 ECTS)
-
Stochastik I (
2.0h VO / 2.0 ECTS)
-
Subject: Höhere Mathematik II
(Compulsory subject)
- Bachelor's degree programme Information Technology
(SKZ: 289, Version: 06W.1)
-
Subject: Advanced Mathematics
(Compulsory subject)
-
Stochastics I (
2.0h VO / 3.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS)
-
Stochastics I (
2.0h VO / 3.0 ECTS)
-
Subject: Advanced Mathematics
(Compulsory subject)
- Bachelor's degree programme Technical Mathematics
(SKZ: 201, Version: 12W.2)
-
Subject: Stochastik
(Compulsory subject)
-
Stochastik 1 (
2.0h VO / 3.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS)
-
Stochastik 1 (
2.0h VO / 3.0 ECTS)
-
Subject: Stochastik
(Compulsory subject)
- Bachelor's degree programme Technical Mathematics and Data-Analyses
(SKZ: 201, Version: 03W.3)
-
Subject: Stochastik
(Compulsory subject)
-
Stochastik I (
2.0h VO / 2.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS)
-
Stochastik I (
2.0h VO / 2.0 ECTS)
-
Subject: Stochastik
(Compulsory subject)