Title Mathematical Modeling
Lesson Code 321-9850
Semester 8
ECTS 5
Hours (Theory) 3
Hours (Lab) 0
Faculty Konstantinou Elisavet

Syllabus

The concept of mathematical modeling and its applications, modeling of stochastic systems and simulation of random variables, random number generators and properties, simulation methods for continuous and discrete random variables, synthesis method, simulation of Poisson processes with constant / changing rate, Monte Carlo simulation, statistical tests.

Learning Outcomes

After the completion of the course, the students

  • will known the most well known methods of simulation of random variables using Matlab, as well as their application to engineering problems.
  • will be able to understand the basic properties and applications of pseudo-random sequences and to simulate stochastic processes of discrete and continuous time.

Prerequisite Courses

Not required.

Basic Textbooks

Notes of the tutor.

Teaching and Learning Methods

Activity Semester workload
Lectures 39 hours
Review-Problem Session hours 26 hours
Personal study 57 hours
   
Final exams 3 hours
Course total 125 hours (5 ECTS)

Student Performance Evaluation

Systematic development and explanation of the theory, methods of solutions of exercises, use of Matlab.

Language of Instruction and Examinations

Greek, English (for Erasmus students)

Delivery Mode

Face-to-face.