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.
The online application opens 15 March 2018 at 13:00 CET.
Application deadline is
16 April 2018.
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.