Ordinary Differential Equations and Mathematical Modelling

About this programme

No fees are charged for EU and EEA citizens, Swedish residence permit holders and exchange students. The course is the basic course in the theory of ordinary differential equations (ODE) with examples of mathematical modelling with ODE from physics, chemistry, environmental problems. In the theoretical part we study existence, uniqueness and stability concepts for ODE, theory for linear systems of ODE, methods for non-linear ODE such as Poincaré mapping and Lyapunov functions. Students are going to carry out 2–3 smaller modelling projects, in groups of 2–3 people, that includes formulation of a problem, its mathematical analysis, numerical computations with help of Matlab and representing results as a short scientific rapport. Knowledge equivalent to 60 credits in mathematics, including the courses MMG300 Multivariable Analysis and MMG400 Linear Algebra II, and a course in programming. All eligible applicants who have applied before the deadline will be granted a place. Mathematical Sciences is a joint department of Chalmers/University of Gothenburg. Your education takes place in the spacious and bright premises of Mathematical Sciences at the Chalmers campus Johanneberg, where there are lecture halls, computer rooms and group rooms. Here you can also find student lunch room and reading room, as well as student counsellors and student office.