ΤΙΤΛΟΣ ΜΑΘΗΜΑΤΟΣ: ΤΕΧΝΟΛΟΓΙΑ ΚΑΙ ΔΙΑΧΕΙΡΙΣΗ ΥΓΡΩΝ ΑΠΟΒΛΗΤΩΝ Ι

COURSEUNITTITLE:

Mathematics IΙ

COURSEUNIT

CODE:

 

 

TYPE OF

COURSE:

 

Compulsory

LEVEL OF

COURSE:

 

First cycle, General Education

SEMESTER OF

STUDY:

2 th

NUMBER OF ECTS:

 

MODE OF DELIVERY:

In the beginning a presentation of the course is given. The teaching includes theory and exercises  

CONTACT

TEACHING:

Six hours lectures and exercises

 

CURSECONTENTS:

Line Integral. Applications to Geometry and Physics. Surface Equations. Double Integral. Applications   to Geometry and Physics.      

Green’s Theorem. Triple Integral. Application to Geometry and Physics. Evaluation of a Flow of  a Vector Map through a Surface. First Order Differential Equations. First Order Linear Differential Equations. Separable Differential Equations. Exact Differential Equations. Integrating Factors. Linear Differential Equations of Higher Order. Wronskian Determinant. Linear Differential Equations with Constant coefficients. Homogenous  Linear Differential Equations. Nonhomogenous Linear Differential Equations. Method of Undetermined Coefficients. Method of Variation of Parameter. Systems of Differential Equations. Applications to Populations Problems, Physics, e.t.c.

Partial Differential Equations. Linear homogenous and nonhomogenous partial differential equations. Separation of variables. Initial and boundary value problems: The wave equation, The heat equation.

 

 

NAMEOFLECTURER:

 

Prof. Dr. G. Papaschinopoulos

 

LABORATORY EXERCISES:

 

NAMESOFLECTURERS:

G. Papaschinopoulos, Professor

 

SUPPORTING MEMBER:

 

RECOMMENDED READING:

  1. General Mathematics, (Schaum’s Outline Series), F. Ayres, Translation S. Persides, X. Terzides, 1983, ISBN 07-0022653-X.
  2. Exercises of Differential and Integral Calculus of Functions of Several Variables, B. Fragou, Ziti, ISBN 960-431-336-3.
  3. Ordinary Differential Equations, M. Kesoglides, Ziti, ISBN 978-960-456-176-6.

 

PREREQUISITES:

Mathematics I

LEARNING

OUTCOMES

ANDCOMPETENCES:

 

The scopus  of the course is to introduce the students to basic concepts concerning Double Integrals, Triple integrals, Line Integrals (Integration Methods and Applications), Ordinary Differential Equations and Partial Differential Equations (Methods and Applications) which are necessary for all students of School of Engineering.

 

 

 

 

 

ASSESSMENTMETHODS:

Written examination and homework exercises

 

LANGUAGE

Greek

 

Contact

  • Address:Department of Environmental Engineering, 67100, Xanthi

  • Telephone: 30 25410 79109,79117,79112

  • Email: secr@env.duth.gr