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: 202
Orientation  Attendance Type  Semester  Year  ECTS 

Core  Compulsory Courses  3  2  5 
Academic Year  2019 – 2020 
Class Period  Winter 
Faculty Instructors 

Weekly Hours  4 
Class ID  600153223

Class Schedule
Building  Πολυτεχνείο  πτέρυγα Γ (ΤΗΜΜΥ & Τοπογράφων Μηχ.) 
Floor  Όροφος 2 
Hall  ΤΑΤΜ305 (9) 
Calendar  Τρίτη 16:00 έως 18:00 
Building  Πολυτεχνείο  πτέρυγα Γ (ΤΗΜΜΥ & Τοπογράφων Μηχ.) 
Floor  Όροφος 2 
Hall  ΤΑΤΜ305 (9) 
Calendar  Παρασκευή 12:00 έως 14:00 
Course Type 20162020
 Background
Course Type 20112015
General Foundation
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600153223
 eLearning (Moodle):
 Other: http://users.auth.gr/natreas
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
 Greek (Instruction, Examination)
 English (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 nonlinear ODE. Higher order linear ODE with constant or nonconstant 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
Last Update
20112019