08.079.314 Modeling

Course offering details

Instructors: Chen Li; Univ.-Prof. Dr. Michael Wand

Event type: Lecture / exercise

Displayed in timetable as: Modellierung I

Hours per week: 4

Credits: 6,0

Language of instruction: German

Min. | Max. participants: - | -

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 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:


  • 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).

Appointments
Date From To Room Instructors
1 Th, 21. Apr. 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
2 Th, 28. Apr. 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
3 Th, 12. May 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
4 Th, 19. May 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
5 Th, 2. Jun. 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
6 Th, 9. Jun. 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
7 Th, 16. Jun. 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
8 Th, 23. Jun. 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
9 Th, 30. Jun. 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
10 Th, 7. Jul. 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
11 Th, 14. Jul. 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
12 Th, 21. Jul. 2016 16:00 18:00 04 426 Chen Li; Univ.-Prof. Dr. Michael Wand
Course specific exams
Description Date Instructors Mandatory
1. Oral Examination Time tbd Yes
Class session overview
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Instructors
Univ.-Prof. Dr. Michael Wand
Chen Li