ΤΙΤΛΟΣ ΜΑΘΗΜΑΤΟΣ: ΤΕΧΝΟΛΟΓΙΑ ΚΑΙ ΔΙΑΧΕΙΡΙΣΗ ΥΓΡΩΝ ΑΠΟΒΛΗΤΩΝ Ι

COURSEUNITTITLE:

Probability and Numerical Analysis

COURSEUNIT

CODE:

 

 

TYPE OF

COURSE:

 

Compulsory

LEVEL OF

COURSE:

 

First cycle, General Education

SEMESTER OF

STUDY:

3 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:

Permutations and Combinations. Probability. Conditional probability. Bayes Theorem. Continuous and Discrete Random Variables. Distribution Function. Probability Density Function. Mean, Variance, Standard Deviation, Median. Distributions: Bionomical Distribution, Geometrical Distribution, Poisson Distribution, Exponential Distribution, Normal Distribution, Typical Normal Distribution. Functions of Random Variables, Central Limit Theorem. Estimation of Parameters. Method of Moments. Confidence Intervals. Testing of Hypothesis. X2 test. Regression Analysis. Confidence Intervals in Regression Analysis. Correlation Analysis.

Solutions of Equations by Iteration: Bisection Method, Fixed-Point Iteration, Newton’s Method, Secant Method. Numerical Methods in Linear Algebra: Linear Systems, Crout Method, Jacobi  Iteration, Gauss-Seidel Iteration, Interpolation: Newton’s Forward Difference Formula, Lagrange Interpolation, Splines. Numerical Integration: Trapezoidal Method, Simpson’s Rule of Integration, Numerical Methods for Differential Equations: Euler Method, Runge-Kutta Methods, Method of Determined Coefficients.

 

 

 

NAMEOFLECTURER:

 

Prof. Dr. G. Papaschinopoulos

 

LABORATORY EXERCISES:

 

NAMESOFLECTURERS:

G. Papaschinopoulos, Professor

 

SUPPORTING MEMBER:

 

RECOMMENDED READING:

  1. Statistics Theory and Applications, F. Kolyva-Machera, E. Bora-Santa, Ziti, 1998, ISBN 960-431-338-X
  2. Probability Concepts in Engineering Planning and Design,    Basic Principles (Probability Concepts in Engineering Planning & Design), A. H.-S. Ang, Wilson H. Tang, Wiley and Sons, Inc 1975, ISBN 0-471-03200-X
  3. Basic Chapters of Numerical Analysis, M.N. Kesoglides, Anikoula, 2005, ISBN 960-516-024-2. 

PREREQUISITES:

 

LEARNING

OUTCOMES

ANDCOMPETENCES:

 

The scopus  of the course is to introduce the students to basic concepts concerning Probabilities, Statistics and Numerical Methods for solving algebraic equations, Linear Systems, Differential equations, e.t.c. 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