Modelling Complex Systems

10 credits

Syllabus, Master's level, 1MA256

A revised version of the syllabus is available.
Code
1MA256
Education cycle
Second cycle
Main field(s) of study and in-depth level
Computational Science A1N, Computational Science A1N, Mathematics A1N, Mathematics A1N
Grading system
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 18 February 2021
Responsible department
Department of Mathematics

Entry requirements

120 credits including Scientific Computing I. Proficiency in English equivalent to the Swedish upper secondary course English 6.

Learning outcomes

This course will introduce the tools from mathematics, physics and computer science that have been used in understanding complex systems.

On completion of the course, the student should be able to:

  • implement simulation methods,for example state-based, individual-based and/or cellular automata models;
  • useapproximations in order to increase analytic understanding of simulation results;
  • explain methods for measuring and quantifying complex systems;
  • explain the importance of complex systems in modern science;
  • explain the role of computer simulations in providing understanding of such systems, while also developing an appreciation for the difficulties and limitations involved.

Content

The course deals with methods for measuring and quantifying complex systems in modern science, especially numerical methods and software for simulations. Project work and laboratory work can involve topics such as Individual vs State-based simulations, Random processes, Mean-field approximations, Random walks and Diffusion approximations, Chaotic movement of Dynamic systems, Quantification of chaos, Self-organised critical phenomena, Cellular Automata, Sandpile model and epidemic models, and Interacting particle systems.

Instruction

Strong emphasis on computer laboratory and project work; also lectures and seminars. The course will consist of a series of four projects and the laboratories will help the students work individually or in small groups on these projects.

Assessment

Computer laboratory and project work.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

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