Differential Equations and Numerical Analysis
| Title | Διαφορικές εξισώσεις-Αριθμητική ανάλυση / Differential Equations and Numerical Analysis |
| Code | 02YG008 |
| Faculty | Engineering |
| School | Rural and Surveying Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Georgios Papaevangelou |
| Common | No |
| Status | Active |
| Course ID | 600025718 |
Programme of Study: PPS Tmīmatos Agronómōn kai Topográfōn Mīchanikṓn (2025-sīmera)
Registered students: 75
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core Courses | Core Courses | 2 | 1 | 4 |
| Academic Year | 2025 – 2026 |
| Class Period | Spring |
| Instructors from Other Categories | |
| Weekly Hours | 5 |
| Class ID | 600267768
|
Type Of Offer
- Disciplinary Course
Course Type 2021
General Foundation
Course Type 2016-2020
- Background
- General Knowledge
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
- Distance learning
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600267768
- eLearning: https://elearning.auth.gr/course/view.php?id=11222
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Instruction, Examination)
- French (Instruction, Examination)
Learning Outcomes
Ability to solve first and second order ordinary differential equations. Applications in engineering problems. Euler and Runge-Kutta methods for the numerical solution of differential equations. Solving non-linear equations numerically using iterative methods. Numerical determination of eigenvectors and eigenvalues. Numerical determination of integrals' value. Interpolation. Regression.
General Competences
- Apply knowledge in practice
- Adapt to new situations
- Work autonomously
Course Content (Syllabus)
Differential Equations and applications in engineering problems. Types of errors. Solving non-linear equations. Solving linear equation systems. Gauss-Seidel method. Cholesky method. Eigenvectors and Eigenvalues. Splines. Numerical integration.
Keywords
Differential Equations, Numerical solutions: Equations, Systems of equations, Differential equations, Integrals, Interpolation, Regression
Educational Material Types
- Notes
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Laboratory Teaching
- Use of ICT in Communication with Students
Description
Presentations in powerpoint. Use of preadsheets in all subjects.
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | ✓ | |||
| Laboratory Work | 13 | ✓ | |||
| Reading Assigment | 46 | ||||
| Exams | 2 | ||||
| Total | 100 |
Student Assessment
Description
The evaluation is efectuated with a two-hour written exam on problem solving. The main element is to control the ability of the application of the methodologies.
Student Assessment methods
- Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
«Εισαγωγή στην Αριθμητική Ανάλυση», Κοκκίνης Β.Χ, Κολέτσος Ι.Θ., ISBN: 978-618-217-046-5, 2023, Εκδόσεις Τσότρας. Κωδικός Βιβλίου στον Εύδοξο: 122075205.
ή
«Εισαγωγή στην Αριθμητική Ανάλυση» Ακρίβης, Γεώργιος Δ., Δουγαλής, Βασίλειος Α, ISBN 978-960-524-022-6, 4η έκδοση, έτος τρεχ. έκδοσης 2015, Εκδόσεις: ΙΤΕ-Πανεπιστημιακές Εκδόσεις Κρήτης
ή
«Αριθμητικές Μέθοδοι για Μηχανικούς», Έκδοση: 7η Βελτιωμένη/2018, ΕΚΔΟΣΕΙΣ Α. ΤΖΙΟΛΑ & ΥΙΟΙ Α.Ε., Συγγραφείς: Chapra S. - Canale R.,Φραγκίσκος Κουτελιέρης (επιμέλεια), ISBN: 978-960-418-763-8. Κωδικός Βιβλίου στον Εύδοξο: 77106818.
Additional bibliography for study
"Αριθμητική Ανάλυση με χρήση ΗΥ", σημειώσεις Ε. Σιδηρόπουλου, Χ. Φωτιάδη,Α.Π.Θ., 2016.
Last Update
23-02-2025
