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.
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.
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 deadline was
15 April 2020.
Please note: This second application round is intended only for EU/EEA/Swiss citizens.