SoSe 2019

Modellierung I

Instructors: Sebastian Brodehl; Univ.-Prof. Dr. Michael Wand
Shortname: 08.079.314
Course No.: 08.079.314
Course Type: Vorlesung/Übung

Requirements / organisational issues

Essential: 

  1. Basic Mathematics: Core lectures from Bachelor Computer Science (Calculus, Algebra, Basic Statistics) or equivalent knowledge (for example, from a related diszipline). 
  2. Good programming skills („Einführung in die Programmierung“, „Einführung in die Softwareentwicklung“, „Datenstrukturen und Algorithmen“ or equivalent). 


Useful: 

  1. C++ knowledge: Tutorials will use C++ (other languages are permitted but this might require some additional effort). 
  2. Basics of computer graphics are useful, but not required (plan for a bit of extra time, in case). 

Contents

Overview of Modeling I 
The 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: 

  1. Representation: Which information is constitutes the state of the modeled phenomenon? 
  2. Rules/dynamics: How does the phenomenon evolve/behave over time / space? 
  3. Simulation: How can we simulate it? 
  4. Inverse problems: Can we adjust the model parameter such that the simulation explains real-world measurement data? 
  5. Variational modeling and optimization: How can we model problems implicitly through the use of objective functions and constraints?


Bottom Line: Modeling 1 = Linear Modelling 
Modelling 1 focusses on linear models (model state is a vector in a linear space). It will discuss representations and sampling issues, and show a number of practical examples (such as global illumination or dynamics of objects). For optimization and inverse problems, we consider simple quadratic variational formulations that can be solved with the nice & easy to use linear algebra tools.

Non-linear and statistical methods are discussed in a subsequent lecture.

New since summer term 2019: The practical assignments are given in the "lab course modeling 1", which is listed as a seprate event in Jogustine. It is very important that you sign up for this lab course as well if you intend to take the lecture.

Dates

Date (Day of the week) Time Location
04/18/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
04/23/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
04/25/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
04/30/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
05/02/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
05/07/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
05/09/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
05/14/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
05/16/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
05/21/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
05/23/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
05/28/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
06/04/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
06/06/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
06/11/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
06/13/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
06/18/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
06/25/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
06/27/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
07/02/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
07/04/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
07/09/2019 (Tuesday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik
07/11/2019 (Thursday) 16:00 - 18:00 04 422
2413 - Neubau Physik/Mathematik