Module Handbook

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Module INF-90-60-M-7

Formal modelling of complex systems (M, 8.0 LP)

Module Identification

Module Number Module Name CP (Effort)
INF-90-60-M-7 Formal modelling of complex systems 8.0 CP (240 h)

Basedata

CP, Effort 8.0 CP = 240 h
Position of the semester 1 Sem. in WiSe
Level [7] Master (Advanced)
Language [DE/EN] German or English as required
Module Manager
Lecturers
Area of study [INF-SI] Socioinformatics
Reference course of study [INF-88.B16-SG] M.Sc. Socioinformatics
Livecycle-State [NORM] Active

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V+1U INF-19-31-K-5
Data Visualization
P 42 h 78 h
U-Schein
- no 4.0 WiSe
2V+1U INF-57-51-K-6
Continuous models of complex systems
P 42 h 78 h
U-Schein
- PL1 4.0 WiSe
  • About [INF-19-31-K-5]: Title: "Data Visualization"; Presence-Time: 42 h; Self-Study: 78 h
  • About [INF-19-31-K-5]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.
  • About [INF-57-51-K-6]: Title: "Continuous models of complex systems"; Presence-Time: 42 h; Self-Study: 78 h
  • About [INF-57-51-K-6]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.

Examination achievement PL1

  • Form of examination: oral examination (30-45 Min.)
  • Examination Frequency: each semester
  • Examination number: 65753 ("Continuous models of complex systems")

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

  • Formal fundamentals
    • Visualization pipeline
    • Human perception and laws of form
    • Characteristics of data
    • Visual coding and its systematization
    • Interaction mechanisms
  • Visualization of univariate data
    • Corridors visual mappings
    • Discussion of the approaches
    • Design guidelines and sources of error
  • Visualization of multivariate data
    • Direct mapping procedures
    • Performant implementations
    • Linear projections in the visualization
  • Visualization of graphs
    • Design strategies
    • Tree representations
    • Directed and undirected graphs
  • Scalar field visualization
    • Representation of fields on the computer
    • Colormapping
    • Basic procedures in 2D and 3D
  • mathematical problem formulation
  • Phase space
  • Concept of equilibrium, types of equilibria
  • Attractors, strange attractors
  • Concept of bifurcation
  • Analysis of the system properties
  • Conditions for the transition to chaotic systems

Competencies / intended learning achievements

Upon successful completion of the module, students will be able to
  • to describe and apply models for the analysis of complex systems
  • analyse and visualise the simulation results of these complex models
  • to explain essential properties of complex phenomena (emergence, bifurcations, chaos) on the basis of a mathematical description of non-linear dynamic systems
  • explain conditions for the transition to chaotic systems,
  • model different concepts of complex systems,
  • to analyse implemented concepts and system characteristics on concrete systems,
  • implement basic techniques of data visualisation and apply them to specific problems
  • analyse and categorise available techniques in terms of quality, efficiency and suitability for specific data
  • select and apply appropriate visualisation techniques based on their functionality for the respective problem

Literature

  • Alexandru C. Telea: Data Visualization – Principles and Practice, AK Peters ltd., 2007.
  • Robert Spence: Information Visualization, Addison Wesley, 2000.
  • Colin Ware: Information Visualization, Morgan Kaufmann, 2. Edition, 2004.
  • Boccara, Nino:  Modeling complex systems . Springer Science & Business Media, 2010.
  • Gros, Claudius: Complex and Adaptive Dynamical Systems, 2009.

Requirements for attendance of the module (informal)

None

Requirements for attendance of the module (formal)

None

References to Module / Module Number [INF-90-60-M-7]

Course of Study Section Choice/Obligation
[INF-88.B16-SG] M.Sc. Socioinformatics [Compulsory Modules] Socioinformatics [P] Compulsory