# 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
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course325

 Academic Year 2018 – 2019 Class Period Winter Faculty Instructors Nikolaos Atreas 52hrs Instructors from Other Categories Evangelia Moutafi 13hrs Weekly Hours 4 Class ID 600125412

### Class Schedule

 Building Πολυτεχνείο - πτέρυγα Β (Πολιτικών Μηχ.) Floor Όροφος 2 Hall ΑΙΘΟΥΣΑ 3 (43) Calendar Τρίτη 12:00 έως 14:00 Building Πολυτεχνείο - πτέρυγα Β (Πολιτικών Μηχ.) Floor Όροφος 2 Hall ΑΙΘΟΥΣΑ 5 (46) Calendar Παρασκευή 12:00 έως 15:00
Course Type 2016-2020
• Background
• General Knowledge
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
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
Lectures52
Seminars13