Differential Equations
| Title | ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ / Differential Equations |
| Code | ΜΑΥ1204 |
| Faculty | Sciences |
| School | Physics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Kleomenis Tsiganis |
| Common | No |
| Status | Active |
| Course ID | 600021667 |
Programme of Study: PROGRAMMA SPOUDŌN 2022
Registered students: 151
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Compulsory Course | 3 | 2 | 6 |
| Academic Year | 2025 – 2026 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Total Hours | 52 |
| Class ID | 600280719
|
Type Of Offer
- Disciplinary Course
Course Type 2021
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600280719
- At the Website of the School: https://www.physics.auth.gr/courses/137
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=6237
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Good knowledge of differential and integral calculus is recommended
Learning Outcomes
The Students will be able to
1. solve first order differential equations using an appropriate method.
2. model simple physical models and study their evolution by using differential equations
3. solve special equations of higher order Differential equations which are related with particular physical models.
4. solve Linear equations/systems.
5. to understand the notion of solution of a partial differential equation and solve 1st order linear equations and some particular linear equations of higher order.
6. τo acquire the ability of developing mathematical tecqniques for modelling, processing and solving problems in physics or other sciencies.
General Competences
- Apply knowledge in practice
- Generate new research ideas
Course Content (Syllabus)
1 Introduction and solution existence theorems
2 Ordinary Differential equations (ODEs) of 1st order (separable,homogeneous, linear, exact, special cases
3 Problems with differential equations of 1st order
4 Special forms of higher order ODEs
5 Linear ODEs, theory of solutions. Linear ODEs with constant coefficients
Keywords
Differential Equations
Educational Material Types
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
- Use of ICT in Student Assessment
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 91 | 3.0 | ✓ | ||
| Reading Assigment | 50 | 1.7 | ✓ | ||
| Tutorial | 34 | 1.1 | ✓ | ||
| Exams | 5 | 0.2 | ✓ | ||
| Total | 180 | 6 |
Student Assessment
Student Assessment methods
- Written Exam with Multiple Choice Questions (Formative)
- Written Exam with Extended Answer Questions (Formative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1. ΕΙΣΑΓΩΓΗ ΣΤΙΣ ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ, MARTHA L. ABELL, JAMES P. BRASELTON, 2023, Έκδοση: 5η Αμερικανική, Εκδόσεις: ΕΚΔΟΣΕΙΣ ΚΛΕΙΔΑΡΙΘΜΟΣ ΕΠΕ, ISBN: 9789606453403, [Κωδικός στον Εύδοξο: 112705603]
2. Διαφορικές Εξισώσεις: Συνήθεις και Μερικές. Θεωρία και Εφαρμογές από τη Φύση και τη Ζωή, ΣΤΑΥΡΑΚΑΚΗΣ ΝΙΚΟΛΑΟΣ Μ., 2019, Έκδοση: 3η, Εκδόσεις: τσότρας, ISBN: 9786185309756, [Κωδικός στον Εύδοξο: 86198813]
3. ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ ΚΑΙ ΕΦΑΡΜΟΓΕΣ, ΓΕΩΡΓΙΟΣ Β. ΒΟΥΓΙΑΤΖΗΣ, ΓΕΩΡΓΙΟΣ Δ. ΜΠΟΖΗΣ, ΔΗΜΗΤΡΙΟΣ Β. ΠΑΠΑΔΟΠΟΥΛΟΣ, 2012, Έκδοση: 1η, Εκδόσεις: ΕΚΔΟΣΕΙΣ ΚΛΕΙΔΑΡΙΘΜΟΣ ΕΠΕ, ISBN: 9789604615100, [Κωδικός στον Εύδοξο: 22768244]
Last Update
18-07-2025
