APPLICATIONS OF MATHEMATICS
| Title | ΕΦΑΡΜΟΓΕΣ ΜΑΘΗΜΑΤΙΚΩΝ / APPLICATIONS OF MATHEMATICS |
| Code | Υ07 |
| Faculty | Engineering |
| School | Rural and Surveying Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Nikolaos Atreas |
| Common | No |
| Status | Active |
| Course ID | 20001017 |
Programme of Study: UPS of School of Rural and Surveing Engineering
Registered students: 209
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Compulsory Courses | 3 | 2 | 5 |
| Academic Year | 2018 – 2019 |
| Class Period | Winter |
| Faculty Instructors |
|
| Instructors from Other Categories | |
| Weekly Hours | 4 |
| Class ID | 600128730
|
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/1/600128730
- eLearning (Moodle):
- Other: http://users.auth.gr/natreas
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Theory of functions of a real variable.
Learning Outcomes
1. Model real problems with differential equations.
2. Solve first order ΟDE's and linear systems of ODE's.
3. Solve second order linear ODE's.
4. Use Laplace transform for solving linear ODE's, integrodifferential equations etc.
5. Use fourier series to decompose periodic function as a infinite sum of sinusodials.
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)
Οrdinary differential equations: first order linear and non-linear ODE. Higher order linear ODE with constant or non-constant coefficients. Wroskian. Systems of linear ODE's. Laplace transform, properties and applications in the solution of linear ODE's with constant coefficients and initial conditions. Dirac and Gamma functions. Fourier series of periodic functions. Dirichlet conditions. Parseval formula.
Keywords
Differential Equations, Laplace Transform, Fourier series
Educational Material Types
- Notes
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 52 | ✓ | |||
| Seminars | 13 | ||||
| Reading Assigment | 52 | ||||
| Exams | 33 | ||||
| Total | 150 |
Student Assessment
Description
Written examination at the end of the semester.
Student Assessment methods
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1. K. Σεραφειμίδης, Διαφορικές Εξισώσεις
2. Ν. Ν. Σταυρακάκης, Διαφορικές Εξισώσεις: Συνήθεις και μερικές με εφαρμογές από τη φύση και τη ζωή.
Last Update
16-01-2019
