Mathematical Models in Ecology and Evolution
Faculteit  Science and Engineering 
Jaar  2021/22 
Vakcode  WMEV01306 
Vaknaam  Mathematical Models in Ecology and Evolution 
Niveau(s)  master 
Voertaal  Engels 
Periode  semester II a (21032022 till 03072022) 
ECTS  6 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Mathematical Models in Ecology and Evolution  
Leerdoelen  At the end of the course, the student is able to: 1.translate between verbal or written descriptions of biological systems and the corresponding mathematical models of the biological systems. 2.critically assess the simplifying assumptions implicit in mathematical models of biological systems. 3.analyze the dynamical and stability properties of mathematical models of biological systems, using a combination of pencil and paper and computer modelling software. 4.translate mathematical properties of models into relevant biological conclusions and how the conclusions are affected by specific model assumptions. 

Omschrijving  Mathematical models have become an indispensable tool in ecology and evolutionary biology, to the point that aspiring scientists in these fields must have a working knowledge of basic mathematical modeling techniques. This course teaches such techniques practically from scratch, without requiring much background knowledge except elementary high school algebra and a little calculus. If successful, it will allow the students to understand papers that contain models, to develop new models to explore their own ideas, and to generate and use models for analysis and interpretation of data. Students are required to study one book chapter per week on their own and to do several exercises for handson experience. Some exercises are of the pencilandpaper variety, but others require the help of the computeraided mathematical tools such as Maple, Mathematica or R, which the student will learn how to use during the course. One afternoon per week, participants meet with a teacher for demonstration and discussion. The meetings usually start with a discussion of the chapter content where difficulties will be explained on the blackboard or with computer + beamer. For each of the suggested bookexercises, one of the participants is appointed as “volunteer” to demonstrate her or his solutions in the classroom, followed by discussion. Depending on the students’ background knowledge, sometimes during these meetings a “remedial” lecture of one or two hours is given about particular mathematical (e.g. linear algebra) or technical (e.g. Mathematica) subjects. 

Uren per week  
Onderwijsvorm 
Werkcollege (T)
(Discussion meetings: 40 hours, self study: 128 hours) 

Toetsvorm 
Schriftelijk tentamen (WE)
(The written exam (open book) consists of several models which have to be analyzed in steps, resulting in 68 subproblems that have to be solved. For each subproblem a maximal number of points can be achieved, summing to 90 points. 10 points are added and the sum is divided by 10 to calculate the final grade.) 

Vaksoort  master  
Coördinator  prof. dr. I.R. Pen  
Docent(en)  prof. dr. I.R. Pen ,prof. dr. G.S. van Doorn ,prof. dr. F.J. Weissing  
Verplichte literatuur 


Entreevoorwaarden  The course unit assumes some prior mathematical knowledge acquired from the firstyear bachelor course “Inleiding in de biomathematica en biostatistiek” (WLP10B12 ) or similar.  
Opmerkingen  
Opgenomen in 
