Modellierung I
Instructors: Chen Li; Univ.-Prof. Dr. Michael WandShortname: Modellierung I
Course No.: 08.079.314
Course Type: Vorlesung/Übung
Requirements / organisational issues
Essential:- Basic Mathematics: Core lectures from Bachelor Computer Science (Calculus, Algebra, Basic Statistics) or equivalent knowledge (for example, from a related diszipline).
- Good programming skills („Einführung in die Programmierung“, „Einführung in die Softwareentwicklung“, „Datenstrukturen und Algorithmen“ or equivalent).
Useful:
- C++ knowledge: Tutorials will use C++ (other languages are permitted but this might require some additional effort).
- Basics of computer graphics are useful, but not required (plan for a bit of extra time, in case).
Contents
Overview of Modeling IThe lecture discusses basic concepts of how to model real-world phenomena with a computer. The goal is to give an overview of basic mathematical and theoretical tools for modeling, and (in particular) to bring these concepts into practical implementation and application.
Modeling of real-world phenomena poses a number of questions:
- Representation: Which information is constitutes the state of the modeled phenomenon?
- Rules/dynamics: How does the phenomenon evolve/behave over time / space?
- Simulation: How can we simulate it?
- Inverse problems: Can we adjust the model parameter such that the simulation explains real-world measurement data?
Bottom Line: Modelling I = Linear Modelling
Modelling 1 is the first part of a two-lecture series. It will focus on linear models (state as vector in a linear space). It will discuss representations and sampling issues, and show a number of practical examples (such as global illumination or dynamicals of objects). For inverse problems, we consider simple quadratic variational formulations that can be solved with the nice & easy to use linear algebra tools.
The second part (Modelling 2) will go deeper into the area of non-linear models (non-linear optimization, differential geometry). It is regularly held in the corresponding upcomming winter semester.
Additional information
This is a series of two lectures. Both are suitable for both advanced (last year) Bacholor students or Masterstudents in computer science or students from other disciplines with a suitable background (mathematics & programming skills).Dates
| Date (Day of the week) | Time | Location |
|---|---|---|
| 04/21/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 04/28/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 05/12/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 05/19/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 06/02/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 06/09/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 06/16/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 06/23/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 06/30/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 07/07/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 07/14/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |
| 07/21/2016 (Thursday) | 16:00 - 18:00 | 04 426 2413 - Neubau Physik/Mathematik |