MATS104 Advanced Differential Equations 2 (4 cr)
Study level:
Advanced studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023
Description
Local and global theory of nonlinear differential equations;
The Grobma-Hartman theorem;
Methods of dynamical systems;
The Poincaré-Bendixson theorem;
The Lorentz equation
Learning outcomes
Understands local and global behaviour of systems of differential equations. Masters methods of analysis and dynamical systems to study differential equations.
Description of prerequisites
Advanced differential equations 1. Recommended: Metric spaces
Study materials
Braun: Differential equations and their applications. Hirsch, Smale,Devaney: Differential equations, dynamical systems, and an introduction to chaos. Perko: Differential Equations and Dynamical Systems.
Completion methods
Method 1
Evaluation criteria:
Exercises and a final project
Select all marked parts
Method 2
Evaluation criteria:
final exam
Select all marked parts
Parts of the completion methods
x
Teaching (4 cr)
Type:
Participation in teaching
Grading scale:
0-5
Language:
English, Finnish
x
Exam (4 cr)
Type:
Exam
Grading scale:
0-5
Language:
English, Finnish