MAT3440 – Dynamical systems
Changes in the course due to coronavirus
Autumn 2020 we plan for teaching and examinations to be conducted as described in the course description and on semester pages. However, changes may occur due to the corona situation. You will receive notifications about any changes at the semester page and/or in Canvas.
Spring 2020: Teaching and examinations was digitilized. See changes and common guidelines for exams at the MN faculty spring 2020.
The course gives an introduction to the theory of systems of ordinary differential equations. Emphasis will be put on using dynamical systems as a modelling tool in different areas of science, technology, medicine, economy etc. The students will perform numerical studies of complex systems.
After completing the course you will:
- have good knowledge of the fundamental theory in dynamical systems. This includes topics such as existence and uniqueness of solutions, linearization and stability theory, phase space techniques, bifurcation theory and Hamiltonian systems;
- have knowledge of the properties of systems which appear in a selection of applications;
- have good knowledge of the principles behind developing efficient numerical methods;
- be able to use software packages to solve complex dynamical systems.
Admission to the course
Students at UiO register for courses and exams in Studentweb.
Recommended previous knowledge
- MAT1100 – Calculus
- MAT-INF1100 – Modelling and Computations
- MAT1110 – Calculus and Linear Algebra
- MAT1120 – Linear Algebra
- 8 credits overlap with MAT2440 – Differential equations and optimal control theory (continued).
- 4 credits overlap with MAT-INF1310 – Ordinary differential equations (discontinued).
4 hours of lectures/problem sessions every week through the semester.
Final written examination.
Examination support material
No examination support material is allowed.
Language of examination
The examination text is given in Norwegian. If the course is taught in English, the examination text will only be given in English. You may answer in Norwegian, Swedish, Danish or English.
Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.
Resit an examination
This course offers both postponed and resit of examination. Read more: