Partial Differential Equations
| Title | ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ ΜΕ ΜΕΡΙΚΕΣ ΠΑΡΑΓΩΓΟΥΣ / Partial Differential Equations |
| Code | 0235 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Common | No |
| Status | Active |
| Course ID | 40000501 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 298
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Elective Courses belonging to the selected specialization | Winter | - | 5.5 |
| Academic Year | 2023 – 2024 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600230479
|
Course Type 2011-2015
Knowledge Deepening / Consolidation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600230479
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
General Competences
- Apply knowledge in practice
- Make decisions
- Advance free, creative and causative thinking
Course Content (Syllabus)
Introduction. Classical solutions. Four important classes of partial differential equations: 1) First order equations, the method of characteristics. 2) The Laplace equation. The maximum principle, uniqueness of solutions. Mollifiers and smoothnes of harmonic functions. The fundamental solution, the Poisson formula, the Harnack estimate. 3) The heat equation. The maximum principle. The fundamental solution. The method of separation of variables, solutions via Fourier Series. 4) The wave equation. The method of energy, separation of variables, solutions via Fourier Series.
Educational Material Types
- Notes
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | 1.3 | |||
| Reading Assigment | 123 | 4.1 | |||
| Exams | 3 | 0.1 | |||
| Total | 165 | 5.5 |
Student Assessment
Student Assessment methods
- Written Exam with Short Answer Questions (Summative)
- Written Exam with Extended Answer Questions (Summative)
- Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
-Μερικές ∆ιαφορικές Εξισώσεις, Ακρίβης Γεώργιος, Αλικάκος Νικόλαος
-Μερικές Διαφορικές Εξισώσεις, Walter Strauss
-Μερικές ∆ιαφορικές Εξισώσεις, Τραχανάς Στέφανος
Last Update
13-05-2024
