Mathematics IΙΙ
| Title | Μαθηματικά ΙΙΙ / Mathematics IΙΙ |
| Code | MA3 |
| Faculty | Engineering |
| School | Chemical Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Common | No |
| Status | Active |
| Course ID | 20000803 |
Programme of Study: PPS Tmīmatos CΗīmikṓn Mīchanikṓn (2021-sīmera)
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Compulsory Course | 3 | 2 | 5 |
| Academic Year | 2016 – 2017 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Total Hours | 52 |
| Class ID | 600056416
|
Class Schedule
| Building | Πολυτεχνείο (πτέρυγα Β) |
| Floor | Όροφος 2 |
| Hall | ΑΙΘΟΥΣΑ 3 (43) |
| Calendar | Τρίτη 12:00 έως 14:00 |
| Building | Πολυτεχνείο (πτέρυγα Β) |
| Floor | Όροφος 2 |
| Hall | ΑΙΘΟΥΣΑ 3 (43) |
| Calendar | Παρασκευή 12:00 έως 14:00 |
Course Type 2016-2020
- Background
- General Knowledge
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600056416
- 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
Calculus and multivariable calculus.
Learning Outcomes
1. Model real problems with differential equations.
2. Solve first order ode and linear systems of ode.
3. Solve second order linear ode.
4. Use Laplace transform for solving linear ode, integrodifferential equations etc.
5. Use fourier series to decompose periodic function as a infinite sum of sinusodials.
Use of formulation to solve 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)
Οrdinary differential equations: first order linear and non-linear ODE. Higher order linear ODE with constant (or not) 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 | 150 | ✓ | |||
| Total | 150 |
Student Assessment
Description
Final examination at the end of the semester.
Student Assessment methods
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
K. Σεραφειμίδης, Διαορικές Εξισώσεις.
N. Σταυρακάκης. Διαφορικές Εξισώσεις: Συνήθεις και Μερικές. Θεωρία και Εφαρμογές από τη φύση και τη ζωή.
Last Update
21-01-2017
