COURSEUNITTITLE:

Mathematics I

COURSEUNIT

CODE:

 

 

TYPE OF

COURSE:

 

Compulsory

LEVEL OF

COURSE:

 

First cycle, General Education

SEMESTER OF

STUDY:

1 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:

Matrices and determinants. Rank of a matrix. Elementary Transformations. Inverse matrix. Linear systems. Eigenvalues and eigenvectors. Computation of the matrix An . Vector spaces. Linear dependence and linear independence. Basis and dimension of a vector space. Inverse Trigonometric Functions. Hyperbolic Functions. Definite and  indefinite integrals. Integration techniques. Applications of integration. Improper integrals. Sequences. Series of real numbers. Power Series. Taylor series. Functions of Several Variables. Partial Derivatives of Functions of Several Variables. Chain Rules. Local Exrtema. Conditional Extrema. Vector Functions of one variable. Derivative of a Vector function. Vector Functions of Several Variables. Differential Operators (Gradient, Divergence, Rot). 

 

 

NAMEOFLECTURER:

 

Prof. Dr. G. Papaschinopoulos

 

LABORATORY EXERCISES:

 

NAMESOFLECTURERS:

G. Papaschinopoulos, Professor

 

SUPPORTING MEMBER:

 

RECOMMENDED READING:

  1. Advanced Mathematics (Schaum’s Outline Series),  Murray R. Spiegel, Translation J.  Schinas, 1982, ISBN 07-060229-8.
  2. Introduction to Linear Algebra, C.J. Schinas and G. Papaschinoulos, Tziolas, ISBN 978-960-418-375-3.
  3. Calculus of Functions of one Variable with Vector and Linear Algebra, X. Terzides,  Christodoulides, ISBN 960-8183-56-1.
  4. Exercises of Calculus of a Function of one Real Variable, B. Fragou, Ziti, 2005, ISBN 960-431-677-X.

PREREQUISITES:

 

LEARNING

OUTCOMES

ANDCOMPETENCES:

 

The scopus  of the course is to introduce the students to basic concepts concerning Integral Calculus, Series, Vector spaces, Matrices, Functions of Several Variables and Vector Functions 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