Numerical Analysis

General

• Code: ΓΕΝ008
• Semester: 4th
• Study Level: Undergraduate
• Course type: General Background
• Teaching and exams language: Ελληνικά
• Teaching Methods (Hours/Week): Lectures (4)
• ECTS Units: 5
• Course homepage: http://teachers.teicm.gr/vozikis/NumericalAnalysis/index.html
• Class Schedule:
  • Thu 11:00 - 13:00: Ε - Βοζίκης (ΗΥ2)
  • Thu 15:00 - 17:00: Θ - Βοζίκης (202)
• Exams Schedule:
  • 23/06/2026, 15:00 - 17:00:

Course Contents

The course deals with basic methods of Numerical Analysis that are analyzed and applied using the
Matlab software. Topics covered include solving nonlinear equations and linear/nonlinear systems,
interpolation, numerical differentiation, numerical computation of definite integrals, solving
differential equations, and solving systems of differential equations. Additionally, the application of
these methods to problems in Civil Engineering is studied. In the laboratory part of the course, the
methods presented in the theoretical lectures are applied using the Matlab (Octave) software on a
computer.

Educational Goals

Upon completing this course students should be able to recognize the importance of algorithm usage
and be able to assess the reliability of their results, understand the utility of numerical methods as
fundamental components of design programs and scientific computations, apply numerical methods
to compute solutions for large linear systems, find roots of nonlinear equations, calculate areas of
complex regions and solve simple differential equations.

General Skills

The course contributes to the following skills:
– Working independently
– Production of free, creative and inductive thinking

Teaching Methods

Face to face.

Use of ICT means

The course is taght in a computer cluster room with
Matlab/(Octave clone) and open source GNU

Teaching Organization

Students Evaluation

Final written examination
– open-ended questions (30-40%)
– problem – solving questions (70-60%)

Recommended Bibliography

• Παπαϊωάννου Σ., Βοζίκης Χ. ‘Εισαγωγή στην Αριθμητική Ανάλυση’, Εκδόσεις Ελληνικά
  Ακαδημαϊκά Ηλεκτρονικά Συγγράμματα και Βοηθήματα – Αποθετήριο “Κάλλιπος”, 2016,
  ISBN:978-960-603-379-7
• Σαρρής Ι., Καρακασίδης Θ., Αριθμητικές Μέθοδοι και Εφαρμογές για Μηχανικούς, Εκδόσεις
  Τζιόλα, 2015, ISBN: 978-969-418-520-7
• Chapra S., Canale R., Αριθμητικές Μέθοδοι για Μηχανικούς, Εκδόσεις Τζιόλα, 2016, ISBN:
  978-960-418-542-9
• – [In Greek]. Παπαϊωάννου Σ., Βοζίκης Χ. ‘Εισαγωγή στην Αριθμητική Ανάλυση’, Εκδόσεις Ελληνικά
  Ακαδημαϊκά Ηλεκτρονικά Συγγράμματα και Βοηθήματα – Αποθετήριο “Κάλλιπος”, 2016, ISBN:978-960-
  603-379-7
  -[In Greek]. Σαρρής Ι., Καρακασίδης Θ., Αριθμητικές Μέθοδοι και Εφαρμογές για Μηχανικούς, Εκδόσεις
  Τζιόλα, 2015, ISBN: 978-969-418-520-7
  -[In Greek]. Chapra S., Canale R., Αριθμητικές Μέθοδοι για Μηχανικούς, Εκδόσεις Τζιόλα, 2016, ISBN:
  978-960-418-542-9