Introduction to Dynamical Systems
Course content
- General Introduction to dynamical systems.
- Maps in one dimension
- Maps in two dimensions
- Differential equations in two dimensions
- ODE’s in higher dimensions
- Maps in the complex plane
- Subshifts of finite type.
Knowledge:
By the end of the course the student is expected to have:
- In depth knowledge of fundamental results and methods in dynamical systems.
- Knowledge of the concrete dynamical systems presented in during the course.
- Understanding of the many and diverse appearances and
applications of dynamical systems.
Skills:
By the end of the course the student is expected to be able
to
- Analyze and qualified argue for results on dynamical systems.
- Produce proofs for theorems in line with those appearing in the course.
- Solve exercises posed during the course.
Competencies:
By the end of the course the student is expected to be able
to
- Follow and reproduce arguments and applications of abstract notions and concepts from dynamical systems.
- Produce proofs of simple results at the level of the course.
- Use the introduced abstract concepts on concrete problems.
- Discuss topics from dynamical systems.
- Explain how dynamical systems and results about dynamical systems enter in various applications.
5 hours of lectures and 3 hours of problem-solving per week for 7 weeks
See Absalon for a list of course literature.
Topology or similar and Kompleks funktionsteori (KomAn) or similar.
- ECTS
- 7,5 ECTS
- Type of assessment
-
Oral examination, 30 minutes (no preparation)
- Exam registration requirements
-
The student must have received approval of 4 out of 5 possible hand-ins.
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners
- Re-exam
-
Same as ordinary exam.
In the event that the student has not obtained approval of 4 out of 5 possible hand-ins before the ordinary exam, the student must, in order to do the reexam, have handed in the missing hand-ins at least 3 weeks prior to the re-exam and have received approvals at least 2 weeks before the reexam.
Criteria for exam assessment
The student must demonstrate satisfactorily that they meet the subject’s objective description.
Single subject courses (day)
- Category
- Hours
- Lectures
- 35
- Preparation
- 130
- Theory exercises
- 21
- Exam Preparation
- 19
- Exam
- 1
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NMAB23015U
- ECTS
- 7,5 ECTS
- Programme level
- Bachelor
- Duration
-
1 block
- Placement
- Block 4
- Schedulegroup
-
C
- Capacity
- No limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
- Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinators
- Henrik Laurberg Pedersen (7-6f6c75797072774774687b6f35727c356b72)
- Carsten Lunde Petersen (5-717a73696a457266796d33707a336970)
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