Mathematical Modelling and Simulation (Winter Semester 2016/17)
- Lecturer: PD Dr. Gudrun Thäter
- Classes: Lecture (0109400)
- Weekly hours: 2
Mo 30.1. (room 3.068) and
Thu 2.2. (room 2.067) both days 13:30-15:30 h in the math building.
Podcast on Julia Sets incl. simulations
Chaos as audio
Link to Logistic map calculator
Link to Logistic Map on the Wolfram platform
Link to Cantor lines calculator
Link to Collection of Strange attractors
Link to Examples for strange attractors
Link to Video for Lorenz attractor
The general aim of this lecture course is threefold
- To interconnect different mathematical fields
- To connect mathematics with real life problems and students of different lecture courses
- To learn to be critical and to ask relevant questions.
|Lecture:||Friday 9:45-11:15||30.41 HS III||Begin: 28.10.2016|
|Lecturer||PD Dr. Gudrun Thäter|
|Office hours: by appointment|
|Room 3.023 Kollegiengebäude Mathematik (20.30)|
In the lecture course we cover the following topics:
- Game theory
- Julia Sets
- Population Models
- Simulation of traffic
- Chaotic behavior
- Heat conduction
- Fluids and flow
During the lecture course there will be one lecture of a person from industry and an excursion at the end. There is a lot of extra material available through the Modellansatz Podcast with German and English episodes.
To register for the exam you have to finish the work on a modelling project during the term in a group of 2-3 persons. The topic of the project is up to the choice of each group. There will be recommended projects for groups without own ideas.
The project can be finished either with a written report to be handed in one week before the end of the term or an oral presentation during the two last weeks of the term.
Due to the workload of 90 min of lectures each week and a project which translates into about 45 min per week (during term) the participants earn 4 ECTS by passing the exam.
The exam is an oral exam on all matters from the lecture course. There will be two examination days: The first one a week or two after the term and the second one immediately before the new term.
Hans-Joachim Bungartz e.a.: Modeling and Simulation: An Application-Oriented Introduction, Springer, Sept. 2013
It is available as e-books through the KIT-library