311.170 (16W) Stochastics 1
Overview
- Lecturer
- LV Nummer Südostverbund INC03001UL
- Course title german Stochastik 1
- Type Lecture
- Hours per Week 2.0
- ECTS credits 3.0
- Registrations 188
- Organisational unit
- Language of instruction no language of instruction was specified
- Course begins on 01.10.2016
- eLearning Go to Moodle course
Time and place
Course Information
Intended learning outcomes
To develop competencies to recognize and model real situations by probabilistic notions.
Prerequisites: Knowledge from secondary schools; first course of calculus at university; simple combinatorial counting methods.
Teaching methodology including the use of eLearning tools
Lecture
Course content
Die Beschreibung der Lehrveranstaltung ist in Englisch, die Vorlesung findet auf Deutsch statt.
Themen
- 1 Random situations and probabilities
- Including conditional probabilities and Bayes formula
- 2 Random variables and distributions
- Types and parameters of distributions (includ. Chebyshev'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)
Literature
M. Borovcnik (2013): 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.pdf
Examination information
Examination methodology
Written exam paper with 2 parts:
i. theory (weight/time 1 hour)
ii. tasks (weight/time 2 hours)
The exam time of three hours is intended to allow for stress-reduced working.
3.2.2017 HS A 18-21
Examination topic(s)
Exam covers
i. themes (overview questions; no materials, no 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
To pass the exam, both parts have to be positive, i.e., more than 50% of the possible points have to be reached.
Grading scheme
Grade / Grade grading schemePosition in the curriculum
- Bachelor-Lehramtsstudium Bachelor Unterrichtsfach Informatik
(SKZ: 414, Version: 15W.2)
-
Subject: Mathematische Grundlagen (AAU)
(Compulsory elective)
-
INC.003 Stochastik 1 (
2.0h VO / 3.0 ECTS)
- 311.170 Stochastics 1 (2.0h VO / 3.0 ECTS) Absolvierung im 3. Semester empfohlen
-
INC.003 Stochastik 1 (
2.0h VO / 3.0 ECTS)
-
Subject: Mathematische Grundlagen (AAU)
(Compulsory elective)
- 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)