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, FixedPoint Iteration, Newton’s Method, Secant Method. Numerical Methods in Linear Algebra: Linear Systems, Crout Method, Jacobi Iteration, GaussSeidel 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, RungeKutta Methods, Method of Determined Coefficients.

NAMEOFLECTURER:

Prof. Dr. G. Papaschinopoulos

LABORATORY EXERCISES: 

NAMESOFLECTURERS: 
G. Papaschinopoulos, Professor

SUPPORTING MEMBER: 

RECOMMENDED READING: 

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 