Title  ΑΡΙΘΜΗΤΙΚΗ ΑΝΑΛΥΣΗ / Numerical Analysis 
Code  ΓΕ1100 
Faculty  Engineering 
School  Civil Engineering 
Cycle / Level  1st / Undergraduate 
Teaching Period  Winter 
Common  No 
Status  Active 
Course ID  20000106 
Programme of Study: PPS TMĪMATOS POLITIKŌN MĪCΗANIKŌN (20182019)
Registered students: 368
Orientation  Attendance Type  Semester  Year  ECTS 

Core program for all students  Compulsory Course  3  2  4 
Academic Year  2019 – 2020 
Class Period  Winter 
Faculty Instructors  
Weekly Hours  4 
Class ID  600151686

Section  Instructors 

1. ΓΕ1100 
Class Schedule
Building  Πολυτεχνείο  πτέρυγα Β (Πολιτικών Μηχ.) 
Floor  Υπόγειο 1 
Hall  ΑΙΘΟΥΣΑ 5.13 (223) 
Calendar  Πέμπτη 14:00 έως 16:00 
Building  Πολυτεχνείο  πτέρυγα Β (Πολιτικών Μηχ.) 
Floor  Υπόγειο 1 
Hall  ΑΙΘΟΥΣΑ 5.13 (223) 
Calendar  Παρασκευή 14:00 έως 16:00 
Type of the Course
 Background
Course Category
General Foundation
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600151686
 Other: http://users.auth.gr/samig/courses/index.html
Language of Instruction
 Greek (Instruction, Examination)
Prerequisites
General Prerequisites
This course is an introduction to "Numerical Analysis " oriented towards computational solution of problems in engineering and sciences. With relative mathematical rigor, it introduces the student to modeling certain typical problems and to the development of methods to solve them on the computer. Introduces the fundamentals of floating point computer calculations and their implications for the accuracy of the obtained solutions. It emphasizes the errors of the methods and their computational efficiency . Furthermore, the student is informed on the existence and use of Numerical Libraries (eg. LAPACK, EISPAC, MINPACK, ODEPACK, SLATEC, NAG, IMSL, MARTRAN), graphic libraries (eg. PGPLOT, MUESLI, DISLIN) and Algebraic Systems (eg. Octave, Scilab, Matlab) with the emphasis on Free and Open Source Software.
Learning Outcomes
After the successful completion of the course, the students have:
(1) the ability of modeling typical problems in engineering
(2) the ability of developing methods to solve these problems on a computer
(3) knowledge of floating point operations in and their impact on computer calculations
(4) knowledge of the errors committed by numerical methods
(5) knowledge of computational efficiency and effectiveness of numerical methods
(6) acquired information on the existence and use of Numerical Libraries and other related tools
General Competences
 Apply knowledge in practice
 Make decisions
 Work autonomously
 Work in teams
 Work in an international context
 Work in an interdisciplinary team
 Generate new research ideas
 Advance free, creative and causative thinking
Course Content (Syllabus)
Errors, Root finding, Interpolation , Numerical integration, Numerical Linear Algebra and especially Solving Systems of Linear Equations with exact (direct) and iterative methods , Numerical Solution of Ordinary Differential Equations and Function Fitting by Least Squares and Householder Factorization.
Keywords
Errors, Root finding, Interpolation, Numerical integration, Numerical Linear Algebra, Numerical Solution of Ordinary Differential Equations, Least Squares, Householder Factorization
Educational Material Types
 Notes
 Book
Course Organization
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  
Tutorial  
Total 
Student Assessment
Description
questionnaire
Student Assessment methods
 Written Exam with Short Answer Questions (Formative, Summative)
 Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Βιβλίο [50657724] Εισαγωγή στην Αριθμητική Ανάλυση, 2η Έκδοση, Πιτσούλης Λεωνίδας
Βιβλίο [239]: ΕΙΣΑΓΩΓΗ ΣΤΗΝ ΑΡΙΘΜΗΤΙΚΗ ΑΝΑΛΥΣΗ, ΑΚΡΙΒΗΣ Γ.Δ., ΔΟΥΓΑΛΗΣ Β.Α.
Additional bibliography for study
Σημειώσεις
Συλλογή Ασκήσεων και Προβλημάτων
Last Update
25052020