Project Chaos Theory
Faculteit  Science and Engineering 
Jaar  2019/20 
Vakcode  WBMA19003 
Vaknaam  Project Chaos Theory 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester I b 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Project Chaos Theory  
Leerdoelen  At the end of the course, the student is able to: 1. reproduce main concepts of chaos theory, and is able to discuss the concept for specific examples 2. access and extract selected relevant additional topics from the literature 3. write an essay on a specific topic including material from the lectures and material extracted from the literature 4. give an oral presentation a specific topic in front of peer students 

Omschrijving  This course gives an overview of Chaos Theory which forms a subfield of Dynamical Systems Theory. Dynamical Systems Theory concerns the evolution of systems in time. Examples include mechanical and electrical systems, like the solar system, pendula, and RLCnetworks. Besides such systems that are modelled by differential equations also systems with discretetime evolution modelled by the iteration of a map are of interest. An example is the evolution of a population size of some biological species from one year to the next. As has been shown by Edward Lorenz, Robert May, Michel Henon, Mitchell Feigenbaum and others the time evolution of even seemingly simple systems can be very irregular and intricate with features of random behaviour. Following the work of Henri Poincare and Steven Smale, Chaos Theory provides the mathematical tools to describe such behaviour and give conditions for its occurrence. 

Uren per week  
Onderwijsvorm  Bijeenkomst (S), Hoorcollege (LC), Opdracht (ASM)  
Toetsvorm 
Presentatie (P), Verslag (R)
(The final grade is determined on the basis of the grades for the written report (80%) and the oral presentation (20%)) 

Vaksoort  bachelor  
Coördinator  prof. dr. H. Waalkens  
Docent(en)  prof. dr. H. Waalkens  
Entreevoorwaarden  Prior knowledge assumed: Calculus 1, Calculus 2, Linear Algebra 1, Linear Systems, Dynamical Systems  
Opmerkingen  
Opgenomen in 
