# 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 2020 – 2021 Class Period Winter Instructors from Other Categories Evangelia Moutafi 65hrs Weekly Hours 4 Class ID 600172351

### Class Schedule

 Building Floor - Hall Εξ αποστάσεως (900) Calendar Παρασκευή 09:00 έως 12:00 Building Floor - Hall Εξ αποστάσεως (900) Calendar Δευτέρα 15:00 έως 17:00
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
• Slide presentations
• Interactive excersises
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
Course Organization
Lectures52
Seminars13