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 (2012today)
Registered students: 503
Orientation  Attendance Type  Semester  Year  ECTS 

Core  Compulsory Course  3  2  6 
Academic Year  2019 – 2020 
Class Period  Winter 
Faculty Instructors 

Weekly Hours  4 
Class ID  600150560

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/1/600150560
 At the Website of the School: http://www.physics.auth.gr/courses/137
 Other: http://users.auth.gr/voyatzis/DIFEQU
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
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  117  3.9  ✓  
Tutorial  39  1.3  
Exams  3  0.1  
Problem solving  21  0.7  
Total  180  6 
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
Additional bibliography for study
R. Bronson "Διαφορικές Εξισώσεις", σειρά Schaum's, Κλειδάριθμος 2007.
M. Tenenbaum and H. Pollard, ORDINARY DIFFERENTIAL EQUATIONS, Dover
Last Update
08062016