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: 

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 