Opetus

Nimi Op Opiskelumuoto Aika Paikkakunta Järjestäjä
Mathematical modelling 10 Cr Luentokurssi 2.9.2019 - 12.12.2019
Mathematical modelling 10 Cr Luentokurssi 4.9.2017 - 12.12.2017

Kohderyhmä

Optional course.

Master's Programme in Mathematics and Statistics is responsible for the course.

The course belongs to the Mathematics and Applied mathematics module.

The course is available to students from other degree programmes.

Edeltävät opinnot tai edeltävä osaaminen

BSc courses on differential equations, linear algebra, probability theory

Osaamistavoitteet

Constructing mathematical models of biological phenomena, with emphasis on the derivation of the models from the underlying processes on the level of individual behavior. Analysing the models using the qualitative theory of ordinary differential equations, multiple time-scales, and numerical methods.

Ajoitus

Recommended time/stage of studies for completion: 1. year

Term/teaching period when the course will be offered: varying

Sisältö

This course focuses on how to construct and analyse mathematical models of population behavior, rigorously derived from the mechanics of the underlying processes on the level of the individuals, and the analysis of these models to obtain results relevant to the application field. Many examples are taken from ecology but provide methods that are transferable to other fields as well. Topics include mono- and bimolecular reactions, reaction networks, the principle of mass action, predator-prey models, competition models, diffusion and taxis, pattern formation, structured populations and developmental delays.

Oppimista tukevat aktiviteetit ja opetusmenetelmät

Lectures and exercise classes

Arviointimenetelmät ja -kriteerit

Exam and excercises, Course will be graded with grades 1-5

Toteutus

Exam, other methods will be described later