|
Module Number:
| 11212
|
| Module Title: | Statistics |
| |
Statistik
|
| Department: |
Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
|
| Responsible Staff Member: | -
Prof. Dr. rer. nat. Hartmann, Carsten
-
Prof. Dr. rer. nat. habil. Wunderlich, Ralf
|
| Language of Teaching / Examination: | English |
| Duration: | 1 semester |
| Frequency of Offer: |
Every winter semester
|
| Credits: |
6
|
| Learning Outcome: | - Aquirement of basic knowledge and skills in Probability Theory and Mathematical Statistics
- Qualifying for solving typical problems from engineering using statistical methods and for critical interpretation of results of statistical investigation
The lectures give theoretical fundamentals and explain them at typical examples from engineering.
Exercises aim to deepen this knowledge and to apply it at further typical situations. Homework sheets, to be solved independently, serve for further consolidation, deeepening and enhancement of lecture and exercise contents. |
| Contents: | Introduction to fundamentals of probability theory and mathematical statistics:
random variables and their distributions (discrete and continuous), limit theorems, laws of large number, point and interval estimations, significance tests (parametric as well as non-parametric for one or two samples), correlation and regression analysis |
| Recommended Prerequisites: | Knowledge of subject matters from the modules
- 11110: Mathematics of Engineering I
- 11111: Mathematics of Engineering II
|
| Mandatory Prerequisites: | None |
| Forms of Teaching and Proportion: | -
Lecture
/ 2 Hours per Week per Semester
-
Exercise
/ 2 Hours per Week per Semester
-
Self organised studies
/ 120 Hours
|
| Teaching Materials and Literature: | - Smith, P. J. : Into Statistics, Springer (Singapore) 1998
- Montgomery, D. C./ Runger, G. C.: Applied Statistics and Probability for Engineers, John Wiley Sons,
- Inc. 1994
- Frank, H./ Althoen, S. C.: Statistics, Concepts and Applications, Cambridge University Press 1994
- McClave, J. T.: A First Course in Business Statistics, Prentice Hall 2001
- McClave, J. T./ Sincich, T. L.: A First Course in Statistics, Prentice Hall 2002
|
| Module Examination: | Prerequisite + Final Module Examination (MAP) |
| Assessment Mode for Module Examination: | Prerequisite:
- Successful completion of homework
Final module examination:
- Written examination, 90 min. or oral examination, 30 min. + preparation time
The type (written or oral) will be anounced at the beginning of the lecture period. |
| Evaluation of Module Examination: | Performance Verification – graded |
| Limited Number of Participants: | None |
| Part of the Study Programme: | -
Master (research-oriented) /
Artificial Intelligence /
PO 2022
- 1. SÄ 2024
-
Abschluss im Ausland /
Bauingenieurwesen /
keine PO
-
Abschluss im Ausland /
Betriebswirtschaftslehre /
keine PO
-
Abschluss im Ausland /
Environmental and Resource Management /
keine PO
-
Bachelor (research-oriented) /
Environmental and Resource Management /
PO 2015
- 3. SÄ 2017
-
Abschluss im Ausland /
Informatik /
keine PO
-
Bachelor (research-oriented) /
Life Science and International Health /
PO 2025
-
Abschluss im Ausland /
Mathematik /
keine PO
-
Abschluss im Ausland /
Power Engineering /
keine PO
-
Abschluss im Ausland /
Wirtschaftsingenieurwesen /
keine PO
|
| Remarks: | - Study programme Artificial Intelligence M.Sc.: Compulsory elective module in the complex „Advanced Methods“
|
| Module Components: | - Lecture Statistics
- Exercise Statistics
- Tutorial Statistics
- Examination Statistics
|
| Components to be offered in the Current Semester: | |
