Modelling and Simulation

Education facts

Code: 5FY221

The course is divided into four parts which together aim to provide essential modeling and simulation skills for physicists. Part 1 is an introduction to dynamical systems. Among other things, we will analyze Lotka-Volterra and Lorentz equations, with a focus on fixed points and time development. In connection with models in discrete time, period doubling, bifurcation and chaos are also introduced. In part 2, we apply the knowledge from part 1 to introduce disease propagation on networks. These networks can represent flight routes between cities or social connections between people. In part 3, we introduce stochastic simulation methods such as Langevin dynamics, Brownian motion (diffusion) and Monte Carlo methods where the implementation takes its starting point in deterministic molecular dynamics. In part 4, we give a brief introduction to Machine Learning. We mainly focus on applications based on given training datasets, for example classification problems.

Entry requirements

90 credits including single variable calculus, linear algebra, introductory mathematical statistics, introductory programming methodology and introductory numerical methods. Proficiency in English and Swedish equivalent to the level required for basic eligibility for higher studies. Requirements for Swedish only apply if the course is held in Swedish.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Modelling and Simulation

  Umeå University

  Start date: 31 August 2026

  End date: 1 November 2026

  Pace of study: 50 %