# Applied Mathematics II

 Title ΕΦΑΡΜΟΣΜΕΝΑ ΜΑΘΗΜΑΤΙΚΑ ΙΙ / Applied Mathematics II Code ΜΑΥ204 Faculty Sciences School Physics Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Georgios Vougiatzis Common No Status Active Course ID 40002883

### Programme of Study: UPS of School of Physics (2012-today)

Registered students: 486
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course326

 Academic Year 2018 – 2019 Class Period Winter Faculty Instructors Weekly Hours 4 Class ID 600132658
Course Type 2016-2020
• Background
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
Erasmus
The course is also offered to exchange programme students.
Prerequisites
General Prerequisites
Calculus
Learning Outcomes
The Students will be able to 1. solve first order differential equations using an appropriate method. 2. model simple physical models and study their evolution by using differential equations 3. solve special equations of higher order Differential equations which are related with particular physical models. 4. solve Linear equations/systems. 5. to understand the notion of solution of a partial differential equation and solve 1st order linear equations and some particular linear equations of higher order.
General Competences
• Apply knowledge in practice
• Generate new research ideas
Course Content (Syllabus)
1 Introduction and solution existence theorems 2 Ordinary Differential equations (ODEs) of 1st order (separable,homogeneous, linear, exact, special cases 3 Problems with differential equations of 1st order 4 Special forms of higher order ODEs 5 Linear ODEs, theory of solutions. Linear ODEs with constant coefficients 6 Linear Oscillators - problems 7 Linear systems (2x2) of ODEs with constant coefficients 8 Problems with Linear systems (2x2). Systems with higher dimensions 9 Introductionary concepts of nonlinear systems of ODEs 10 Introduction to partial differential equations (PDEs) 11 Solutions of PDEs of 1st order 12 Linear PDEs of higher order with constant coefficients
Keywords
Differential Equations
Educational Material Types
• Book
Course Organization
Lectures1173.9
Tutorial391.3
Exams30.1
Problem solving210.7
Total1806
Student Assessment
Student Assessment methods
• Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ ΚΑΙ ΕΦΑΡΜΟΓΕΣ, Βουγιατζής Γεώργιος Β., Μπόζης Γεώργιος Δ.,Παπαδόπουλος Δημήτριος Β. ΕΚΔΟΣΕΙΣ ΚΛΕΙΔΑΡΙΘΜΟΣ 2012 ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ, ΘΩΜΑΣ ΚΥΒΕΝΤΙΔΗΣ, ΕΚΔΟΣΕΙΣ ΚΥΒΕΝΤΙΔΗ 2007 ΣΥΝΗΘΕΙΣ ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ, ΤΡΑΧΑΝΑΣ ΣΤΕΦΑΝΟΣ, ΠΑΝΕΠΙΣΤΗΜΙΑΚΕΣ ΕΚΔΟΣΕΙΣ ΚΡΗΤΗΣ, 2008