Differential Equations
| Title | ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ / Differential Equations |
| Code | ΜΑ0401 |
| Faculty | Engineering |
| School | Electrical and Computer Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Coordinator | Athanasios Kechagias |
| Common | No |
| Status | Active |
| Course ID | 20000616 |
| Academic Year | 2017 – 2018 |
| Class Period | Spring |
| Faculty Instructors | |
| Weekly Hours | 4 |
| Class ID | 600111458
|
Course Type 2016-2020
- Background
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600111458
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Calculus I, Linear Algebra
Learning Outcomes
1. Solution methods for 1st order ordinary differential equations.
2. Solve linear differential equations of higher order and systems of differential equations.
3. Calculate Fourier series and Laplace transforms.
3. Applying the above concepts to modeling and solution of engineering problems.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Advance free, creative and causative thinking
Course Content (Syllabus)
Generally about differential equations (DE). DEs of 1st order. Linear DEs: solution properties. . Linear DEs of 1st order. Linear Des with constant coefficients. Systems of linear DEs with constant coefficients. Fourier series and transform. Laplace transform. Generalized functions. Solution of DEs with Laplace transform.
Keywords
Differential equations, Fourier series, Laplace transforms
Educational Material Types
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 120 | ✓ | ✓ | ||
| Total | 120 |
Student Assessment
Description
Written examination at the end of the semester
Student Assessment methods
- Written examination
Bibliography
Course Bibliography (Eudoxus)
1. Διαφορικές εξισώσεις, Κάρολος Σεραφειμίδης
2. Συνήθεις Διαφορικές Εξισώσεις, Νίκος Σταυρακάκης
Last Update
27-02-2018
