Applied Mathematics II

Course Information
TitleΕΦΑΡΜΟΣΜΕΝΑ ΜΑΘΗΜΑΤΙΚΑ ΙΙ / Applied Mathematics II
CodeΜΑΥ204
FacultySciences
SchoolPhysics
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CoordinatorGeorgios Vougiatzis
CommonNo
StatusActive
Course ID40002883

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

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory326

Class Information
Academic Year2017 – 2018
Class PeriodWinter
Faculty Instructors
Weekly Hours4
Class ID
600100150
Type of the Course
  • Background
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is 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
ActivitiesWorkloadECTSIndividualTeamworkErasmus
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
Additional bibliography for study
R. Bronson "Διαφορικές Εξισώσεις", σειρά Schaum's, Κλειδάριθμος 2007. M. Tenenbaum and H. Pollard, ORDINARY DIFFERENTIAL EQUATIONS, Dover
Last Update
08-06-2016