# 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: 206
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Courses325

 Academic Year 2017 – 2018 Class Period Winter Faculty Instructors Nikolaos Atreas 4hrs Weekly Hours 4 Class ID 600105827
Course Type 2016-2020
• Background
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
Digital Course Content
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
Lectures52