Department of Information & Communication Systems Engineering
University of the Aegean

Department of Information
& Communication Systems Engineering

Information & Communication Systems Security
Information Systems
Artificial Intelligence
Computer & Communication Systems
Geometry, Dynamical Systems & Cosmology
Αριθμητική Ανάλυση

Title: Αριθμητική Ανάλυση
Lesson Code: 321-99002
Semester: 7
Theory Hours: 3
Lab Hours:
Faculty: Fotiadis Georgios
Content outline

Errors, Computer Arithmetic, Error method and algorithm, Linear Systems, Method of Gauss, Gauss-Jordan, factorization LU, Method Choleski, Iterative method of Jacobi, Gauss, Gauss-seidel, SOR, Nonlinear equations and systems, partition method, fixed point, Newton-Raphson, secant, Interpolation and Approximation of Lagrange, Newton, Hermite, functions, spline, Numerical Differentiation and Integration type Lagrange, Taylor, Richardson, rule rectangle, trapezoid, Simpson, type Newton-Cotes, Numerical solution of ordinary differential equations, partial differential equations.

Learning outcomes

Comprehension of the basic numerical methods to solve problems in Science and Technology.


Calculus, Linear Algebra, Differential Equations.

Basic Textbooks

1. Michael N. Vrahatis, Numerical Analysis 

2. Class lectures 

Additional References

 1. Introduction to Numerical Analysis, Akrivis G. D., Dougalis B. A.
2. Numerical Analysis, Nikolaos Misirlis.
3. Numerical Analysis, Sofianos Georgios S., Tychopoulos Evangelos Th.

Learning Activities and Teaching Methods

The course evaluation derives from:

  • 3 compulsory exercises during the semester: counting 30% in the final grade.
  • final exam: counting 70% in the final grade.

Final Grade = (0.3*M.V. Exercises) + (0.7*Final Exam)

One must have: Final Grade >= 5

Assessment/Grading Methods

Lectures: 39 hours 

Lab-based exercises: 20 hours

Personal study: 62 hours 

Final examination: 3 hours

Total: 124 hours (5 ECTS)

Language of Instruction
Greek, English (for Erasmus students)
Μode of delivery


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