Integrable Systems (EM6): Διαφορά μεταξύ των αναθεωρήσεων
Χωρίς σύνοψη επεξεργασίας |
|||
| (5 ενδιάμεσες αναθεωρήσεις από τον ίδιο χρήστη δεν εμφανίζεται) | |||
| Γραμμή 1: | Γραμμή 1: | ||
[[ | * [[Ολοκληρώσιμα Συστήματα (ΕΜ6)|Ελληνική Έκδοση]] | ||
{{Course-Graduate-Top-EN}} | |||
{{Menu-OnAllPages-EN}} | |||
=== General === | === General === | ||
| Γραμμή 71: | Γραμμή 73: | ||
! Delivery | ! Delivery | ||
| | | | ||
In class | |||
|- | |- | ||
! Use of Information and Communications Technology | ! Use of Information and Communications Technology | ||
| | | - | ||
|- | |- | ||
! Teaching Methods | ! Teaching Methods | ||
| Γραμμή 86: | Γραμμή 87: | ||
| 39 | | 39 | ||
|- | |- | ||
| | | Self study | ||
| | | 78 | ||
|- | |- | ||
| | | Homework - Projects | ||
| | | 70.5 | ||
|- | |- | ||
| Course total | | Course total | ||
| Γραμμή 98: | Γραμμή 99: | ||
! Student Performance Evaluation | ! Student Performance Evaluation | ||
| | | | ||
* Weekly assignments | |||
* Final project | |||
|} | |} | ||
| Γραμμή 104: | Γραμμή 106: | ||
<!-- In order to edit the bibliography, visit the webpage --> | <!-- In order to edit the bibliography, visit the webpage --> | ||
<!-- https://wiki.math.uoi.gr/index.php/%CE%A0%CF%81%CF%8C%CF%84%CF%85%CF%80%CE%BF: | <!-- https://wiki.math.uoi.gr/index.php/%CE%A0%CF%81%CF%8C%CF%84%CF%85%CF%80%CE%BF:MAM160-Biblio --> | ||
{{ | {{MAM160-Biblio}} | ||
Τελευταία αναθεώρηση της 05:15, 16 Ιουνίου 2023
- Ελληνική Έκδοση
- Graduate Courses Outlines
- Outline Modification (available only for faculty members)
- Department of Mathematics
- Save as PDF or Print (to save as PDF, pick the corresponding option from the list of printers, located in the window which will popup)
General
| School | School of Science |
|---|---|
| Academic Unit | Department of Mathematics |
| Level of Studies | Graduate |
| Course Code | EM6 |
| Semester | 1 |
| Course Title | Integrable Systems |
| Independent Teaching Activities | Lectures (Weekly Teaching Hours: 3, Credits: 7.5) |
| Course Type | Special Background |
| Prerequisite Courses | - |
| Language of Instruction and Examinations |
Greek |
| Is the Course Offered to Erasmus Students | Yes (in English) |
| Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
| Learning outcomes |
Integrable systems are nonlinear differential equations which, in principle, can be solved analytically. This means that the solution can be reduced to a finite number of algebraic operations and integrations. Such systems are very rare - most nonlinear differential equations admit chaotic behavior and no explicit solutions can be written down. Integrable systems nevertheless lead to a very interesting mathematics ranging from differential geometry and complex analysis to quantum field theory and fluid dynamics. The main topics treated in the course, and the expected skill obtained by the students, are:
|
|---|---|
| General Competences |
|
Syllabus
Integrability in classical mechanics, Painleve analysis, Fourier transforms, the Inverse Scattering Transform and Soliton theory.
Teaching and Learning Methods - Evaluation
| Delivery |
In class | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Use of Information and Communications Technology | - | ||||||||||
| Teaching Methods |
| ||||||||||
| Student Performance Evaluation |
|
Attached Bibliography
- P. G. Drazin, R. S. Johnson, Solitons: An Introduction, Cambridge University Press, 1989.
- M. J. Ablowitz, H. Segur, Solitons and the Inverse Scattering Transform, SIAM 1981.
- Προσωπικές σημειώσεις του διδάσκοντα.