Ordinary Differential Equations I (MAE614): Διαφορά μεταξύ των αναθεωρήσεων
(27 ενδιάμεσες αναθεωρήσεις από τον ίδιο χρήστη δεν εμφανίζεται) | |||
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* [[Συνήθεις Διαφορικές Εξισώσεις I (MAE614)|Ελληνική Έκδοση]] | |||
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=== General === | === General === | ||
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! Course Website (URL) | ! Course Website (URL) | ||
| | | See [https://ecourse.uoi.gr/ eCourse], the Learning Management System maintained by the University of Ioannina. | ||
Learning Management System | |||
|} | |} | ||
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! Learning outcomes | ! Learning outcomes | ||
| | | | ||
Bloom's Taxonomy. | |||
(1) Remembering: The notion of fixed point, of maximum domain of solutions and of the stability of not necessarily linear ODE's. (2) Comprehension: Study fixed point theorems and Topological Degree Theory, with applications to not necessarily linear ODE's. Study the maximum domain of solutions of not necessarily linear ODE's. Linearization of ODE's. (3) Applying: Study related real world problems. (4) Evaluating: Teaching secondary school courses. | |||
Remembering: | |||
Comprehension: | |||
Applying: | |||
Evaluating: Teaching | |||
|- | |- | ||
! General Competences | ! General Competences | ||
| | | | ||
Working independently and in groups. Production of free, creative and inductive thinking. Creative, analytic and synthetic thinking. | |||
|} | |} | ||
=== Syllabus === | === Syllabus === | ||
Study of not necessarily linear ODE's: Existence of solutions using fixed point theorems and topological degree theory (i.e. Brouwer degree), Maximum domain for solutions, Stability using the Lyapunov method, Linearization. | |||
=== Teaching and Learning Methods - Evaluation === | === Teaching and Learning Methods - Evaluation === | ||
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! Use of Information and Communications Technology | ! Use of Information and Communications Technology | ||
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* Use of Learning Management System, combined with File Sharing Platform as well as Blog Management System for | * Use of Learning Management System, combined with File Sharing Platform as well as Blog Management System for | ||
# distributing teaching material, | # distributing teaching material, | ||
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* Few number of tests during the semester. | * Few number of tests during the semester. | ||
* Based on their grades in the aforementioned weekly assignments and tests, limited number of students can participate in exams towards the end of the semester, before the beginning of the exams period. | * Based on their grades in the aforementioned weekly assignments and tests, limited number of students can participate in exams towards the end of the semester, before the beginning of the exams period. | ||
In any case, all students can participate in written exams at the end of the semester, during the exams period. | In any case, all students can participate in written exams at the end of the semester, during the exams period. | ||
The aforementioned information along with all the required details are available through the course's website. The information is explained in detail at the beginning of the semester, as well as, throughout the semester, during the lectures. Reminders are also posted at the beginning of the semester and throughout the semester, through the course's website. Upon request, all the information is provided using email or social networks. | The aforementioned information along with all the required details are available through the course's website. The information is explained in detail at the beginning of the semester, as well as, throughout the semester, during the lectures. Reminders are also posted at the beginning of the semester and throughout the semester, through the course's website. Upon request, all the information is provided using email or social networks. | ||
|} | |} | ||
=== Attached Bibliography === | === Attached Bibliography === | ||
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<!-- https://wiki.math.uoi.gr/index.php/%CE%A0%CF%81%CF%8C%CF%84%CF%85%CF%80%CE%BF:MAE751-Biblio --> | |||
See the official [https://service.eudoxus.gr/public/departments#20 Eudoxus site] or the [https://cloud.math.uoi.gr/index.php/s/62t8WPCwEXJK7oL local repository] of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus: | |||
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Τελευταία αναθεώρηση της 17:01, 16 Οκτωβρίου 2024
- Ελληνική Έκδοση
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General
School |
School of Science |
---|---|
Academic Unit |
Department of Mathematics |
Level of Studies |
Undergraduate |
Course Code |
MAE614 |
Semester |
6 |
Course Title |
Differential Equations I |
Independent Teaching Activities |
Lectures (Weekly Teaching Hours: 3, Credits: 6) |
Course Type |
Special Background |
Prerequisite Courses | - |
Language of Instruction and Examinations |
Language of Instruction (lectures): Greek
|
Is the Course Offered to Erasmus Students |
Yes |
Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
Learning outcomes |
Bloom's Taxonomy. (1) Remembering: The notion of fixed point, of maximum domain of solutions and of the stability of not necessarily linear ODE's. (2) Comprehension: Study fixed point theorems and Topological Degree Theory, with applications to not necessarily linear ODE's. Study the maximum domain of solutions of not necessarily linear ODE's. Linearization of ODE's. (3) Applying: Study related real world problems. (4) Evaluating: Teaching secondary school courses. |
---|---|
General Competences |
Working independently and in groups. Production of free, creative and inductive thinking. Creative, analytic and synthetic thinking. |
Syllabus
Study of not necessarily linear ODE's: Existence of solutions using fixed point theorems and topological degree theory (i.e. Brouwer degree), Maximum domain for solutions, Stability using the Lyapunov method, Linearization.
Teaching and Learning Methods - Evaluation
Delivery |
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Use of Information and Communications Technology |
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Teaching Methods |
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Student Performance Evaluation |
Language of evaluation: Greek and English. Methods of evaluation:
In any case, all students can participate in written exams at the end of the semester, during the exams period. The aforementioned information along with all the required details are available through the course's website. The information is explained in detail at the beginning of the semester, as well as, throughout the semester, during the lectures. Reminders are also posted at the beginning of the semester and throughout the semester, through the course's website. Upon request, all the information is provided using email or social networks. |
Attached Bibliography
See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:
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