Differential Equations in Science and En
Faculteit  Science and Engineering 
Jaar  2022/23 
Vakcode  WBMA06105 
Vaknaam  Differential Equations in Science and En 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester II a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Differential Equations in Science and Engineering  
Leerdoelen  At the end of the course, the student is able to: 1. explain existing mathematical models based on differential equations 2. derive mathematical models based on differential equations that are applied in science and engineering. 3. analyze the derived models with respect to their basic properties such as equilibrium states, stability and asymptotic behavior. 4. calculate solutions of simple application problems using the derived mathematical models. 

Omschrijving  Differential equations are widely used to model applications in science and engineering. This course will give an introduction to some of the most important mathematical models based on ordinary and partial differential equations and discuss their derivation from the physical concept up to the actual equations and specific results. We will investigate properties of mathematical models and see how the analysis can help to understand and predict physical phenomena. We will consider, among others, models from the following applications: population dynamics, harmonic oscillators, chemical reactions, classical mechanics, fluid dynamics, shallow water flows, kinetic gas theory. 

Uren per week  
Onderwijsvorm  Hoorcollege (LC), Opdracht (ASM), Werkcollege (T)  
Toetsvorm 
Opdracht (AST), Schriftelijk tentamen (WE)
(Practical assignments (PR) and written Exam (E). For passing, E >= 5.5 and each PR >= 5.5. The final grade F is then F = 0.3*PR + 0.7*E. Each practical assignment can be repaired before the discussion of the next practical assignment. The exam can be repaired in the reexamination.) 

Vaksoort  bachelor  
Coördinator  J. Koellermeier, PhD.  
Docent(en)  J. Koellermeier, PhD.  
Verplichte literatuur 


Entreevoorwaarden  Knowledge assumed: Linear algebra (matrix notation, computation of eigenvalues) as taught in Linear Algebra 1. Calculus and multivariate calculus (partial derivatives, integration, index notation) as taught in Calculus 1 and 2. Ordinary differential equations (notation, solution of linear systems of ODEs) as taught in Linear Systems.  
Opmerkingen  
Opgenomen in 
