Ordinary Differential Equations I (MAE614): Διαφορά μεταξύ των αναθεωρήσεων
Γραμμή 169: | Γραμμή 169: | ||
* 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. |
Αναθεώρηση της 15:45, 28 Ιουνίου 2022
General
School |
School of Science |
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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
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Is the Course Offered to Erasmus Students |
Yes |
Course Website (URL) |
Course description: https://math.uoi.gr
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Learning Outcomes
Learning outcomes |
Remembering:
Comprehension:
Applying:
Evaluating: Teaching undergraduate and graduate courses. |
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General Competences |
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Syllabus
This course is designed to be the continuation of the compulsory course “Introduction to Differential Equations” and is comprised of two main, closely related parts. The first part consists of the study of ordinary differential equations regarding their qualitative properties. The second part studies the methods of solving as well as the study of the qualitative properties of systems of ordinary differential equations.
In the first part, initial value problems for ordinary differential equations are studied regarding the existence, uniqueness, continuation and dependence on the initial conditions of their solutions.
The second part consists of the study of systems of ordinary differential equations. Specifically, this part studies the existence and the uniqueness of solutions, algorithms for finding solutions of specific forms of such systems, the phase space and the stability of solutions. Also, the well-known Lyapunov Theorems are presented.
For each part, specific real-life applications are presented.
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 Eudoxus)