Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Topics in complex systems

Practical information
Study year 2016/2017
Block 1
Programme level Full Degree Master
Course responsibles
  • Mogens Høgh Jensen (8-716c6e69727769724472666d326f7932686f)
  • Kim Sneppen (7-767168737368714371656c316e7831676e)
  • The Niels Bohr Institute
Course number: NFYK15018U

Course content

The topics that will be covered are: Percolation, Networks, Phase transitions, critical phenomena, Monte Carlo simulations, interfaces, agent-based models, self organization, scale free phenomena, game theory, econophysics and models of social systems.

Learning outcome

At the conclusion of the course students will be able to implement simple quantitative models on a computer. The aim is to learn how to rephrase a complex phenomena into a mathematical equation or computer algorithm. Further the student is expected to gain basic knowledge on contemporary research in complex systems. This include ability to use fundamental concepts from statistical mechanics, non-linear dynamics, time series analysis, agent based models and self organizing systems.

How to describe and analyze non-linear systems in terms equations and algorithms.

Write computer models of systems with many interacting parts, including Monte-Carlo simulations, interfaces, networks, and cellular automata.

Implement agents based models to describe self-organized dynamics of structures, for example within network theory and systems that behave similar across a wide range of scales.

This course will provide the students with a competent background for further studies within complex system and biophysics, e.g. an M.Sc. project.  The course will provide the students with tools that have application in a range of fields within and beyond physics.

Recommended prerequisites

Students would gain by having taken the course on Dynamical Systems and Chaos, as well as by having some knowledge of statistical mechanics and basic knowledge of some programming language.
These requirement are however non-mandatory, and with some effort the course can be followed by other students, in particular students with background in mathematics, bio-informatics, economics or computer sciences.


The course can also be followed by PhD students.

The course is ideal for students who plan to write their thesis within complex systems, biological physics or quantitative models of biological systems.

The course will be given every year.

Course home page: http:/​/​www.complex.nbi.dk/​courses/​

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M.Sc. Physics. Students from mathematics, bio-informatics, economics and computer science are also welcome.


Study Board of Physics, Chemistry and Nanoscience

Course type

Single subject courses (day)


Jan Haerter


1 block


---- SKEMA LINK ----

Teaching and learning methods

lectures and exercises




lecture notes


Category Hours
Lectures 24
Theory exercises 28
E-Learning 2,5
Exam 0,5
Preparation 151
English 206,0


Type of assessment

Oral examination, 30 minutes
Oral exam without preparation time


Without aids

Marking scale

7-point grading scale

Criteria for exam assessment

see skills

Censorship form

No external censorship
Several internal examiners


same as ordinary exam

Mere information om kurset
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