MAT3440 – Dynamical systems
Course description
Schedule, syllabus and examination date
Course content
This 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.
Learning outcome
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 who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for?in Studentweb.
Special admission requirements
In addition to fulfilling the?Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:
- Mathematics R1 (or Mathematics S1 and S2) + R2
And in addition one of these:
- Physics (1+2)
- Chemistry (1+2)
- Biology (1+2)
- Information technology (1+2)
- Geosciences (1+2)
- Technology and theories of research (1+2)
The special admission requirements may also be covered by?equivalent studies from Norwegian upper secondary school or by other equivalent studies?(in Norwegian).
Recommended previous knowledge
- MAT1100 – Calculus
- MAT-INF1100 – Modelling and Computations
- MAT1110 – Calculus and Linear Algebra?
- MAT1120 – Linear Algebra
Overlapping courses
- 8 credits overlap with MAT2440 – Differential equations and optimal control theory (continued).
- 4 credits overlap with MAT-INF1310 – Ordinary differential equations (discontinued).
Teaching
4 hours of lectures/problem sessions every week through the semester.
The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.
Examination
Final written exam which counts 100 % towards the final grade.?
This course has 1 mandatory assignment that must be approved before you can sit the final exam.
Examination support material
No examination support material is allowed.
Language of examination
Courses taught in English will only offer the exam paper in English. You may write your examination paper in Norwegian, Swedish, Danish or English.
Grading scale
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:
More about examinations at UiO
- Use of sources and citations
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.