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.
Learning outcome
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.
Teaching and learning methods
5 hours of lectures and 3 hours of problem-solving per week for 7 weeks
Literature
See Absalon for a list of course literature.
Recommended prerequisites
Topology or similar and Kompleks funktionsteori (KomAn) or similar.
Feedback form
Written
Oral
Exam
- ECTS
- 7,5 ECTS
- Type of assessment
-
Oral examination, 30 minutes, no preparation time
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners
Criteria for exam assessment
The student must demonstrate satisfactorily that they meet the subject’s objective description.
Course type
Single subject courses (day)
Workload
- 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 limit
The number of seats may be reduced in the late registration period - Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinator
- Henrik Laurberg Pedersen (7-6a6770746b6d72426f63766a306d7730666d)
Saved on the
11-10-2023
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Courseinformation of students
Courseinformation of students