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Modelling and Simulation

  • Number of credits 7.5 Credits
  • Level Master’s level
  • Starting Autumn Term 2019

About the course

The course is divided into four parts which together aim to provide essential knowledge for modeling and simulation. 1) Introduction to dynamic systems, including Lotka-Volterra equation, with a focus on fixed points and their properties. In connection with the models in discrete time period doubling, bifurcation and chaos are also introduced. 2) Introduction to stochastic simulation methods like Langevin dynamics, Brownian dynamics and Monte Carlo where the implementation is based on deterministic molecular dynamics. 3) Advancement of parameter estimation which includes (non-parametric) bootstrap analysis. 4) A theoretical approach to the numerical integration using the Picard-Lindelöf theorem and how this among other things leads to the Runge-Kutta methods and implicit methods. Applications are made through laboratory experiments with C programming, Matlab and computer program libraries.

The course can also be included in the subject areas of computational science & engineering, mathematics and applied mathematics.

Application and eligibility

Modelling and Simulation, 7.5 hp

Visa tillfällen för föregående termin Autumn Term 2019 Det finns inga senare terminer för kursen


2 September 2019


3 November 2019

Study location




Type of studies

Daytime, 50%

Required Knowledge

90 credits including single variable calculus, linear algebra, introductory mathematical statistics, introductory programming methodology and introductory numerical methods. Swedish for basic eligibility for higher education programmes and English A/5. Requirements for Swedish only apply if the course is held in Swedish.


Academic credits Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.

Application code



Application deadline was 15 April 2019. Please note: This second application round is intended only for EU/EEA/Swiss citizens. Submit a late application at

Application and Tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee


Tuition fee, first instalment


Total fee


Contact us

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Contact person for the course is:
Peter Olsson