Teaching language: English
Open for exchange students
Block schedule:
X
Course module 

Credit distribution 

Examination dates 
Sp1 
Sp2 
Sp3 
Sp4 
Summer course 
No Sp 
0113 
Examination 
7,5c 
Grading: TH 




7,5c




02 Jun 2014 am V, 
25 Aug 2014 pm V 
In programs
MPENM ENGINEERING MATHEMATICS AND COMPUTATIONAL SCIENCE, MSC PROGR, Year 1 (compulsory)
MPSYS SYSTEMS, CONTROL AND MECHATRONICS, MSC PROGR, Year 1 (elective)
TKTEM ENGINEERING MATHEMATICS, Year 2 (compulsory)
Examiner:
Biträdande professor
Alexey Geynts
Replaces
MVE160
Mathematical modelling
Course evaluation:
http://document.chalmers.se/doc/8b7d07fc3f9241ebbb0e5bb5bc91a5af
Go to Course Homepage
Eligibility:
For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.
Course specific prerequisites
The prerequisites for the course are the equivalent of 60 higher education credits in Mathematics, including multivariable analysis, linear algebra and a course in programming.
Aim
Students will be able to use general theory for ordinary differential equations (ODE) and apply the theory and computers to formulate and to solve modeling problems.
Learning outcomes (after completion of the course the student should be able to)
After completing the course, the student will be able to
* describe and explain the main concepts and theories for ODEs covered in the course
* formulate mathematical models in terms of ODE
* make analytical analysis of models formulated in terms of ODE
* make numerical analysis of a mathematical model and to implement it in Matlab
* interpret the results of a mathematical model.
Content
General theory for ordinary differential equations (ODE) such as existence and uniqueness of solutions to ODE, theory of linear systems of ODE, and stability properties of nonlinear ODE using Lyapunovs functions.
Examples of mathematical modeling in physics, chemistry and environment.
Organisation
Teaching includes two lectures and one exercise pass per week. Students are supposed to do two smaller mandatory modeling assignments. These will be done in working groups of 23 people.
Literature
Gerald Teschl. Ordinary Differential Equations and Dynamical Systems. Graduate Studies in Mathematics, Volume 140, Amer. Math. Soc., Providence, 2012. (available free on the authors homepage)
Examination
The examination consists of a written exam at the end of the course, and of both written reports and oral presentations of mandatory modeling assignments.