# Numerical Analysis

 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 TPM - EISAKTEOI APO 2022 KAI EXĪS

Registered students: 0
OrientationAttendance TypeSemesterYearECTS

### Programme of Study: PPS TPM (EISACΗTHENTES EŌS KAI 2021)

Registered students: 276
OrientationAttendance TypeSemesterYearECTS
Core program for all studentsCompulsory Course324

 Academic Year 2015 – 2016 Class Period Winter Faculty Instructors Weekly Hours 4 Class ID 600010715
SectionInstructors
1. ΓΕ1100Athanasios Mygdalas
Course Type 2016-2020
• Background
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
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
(1) modeling typical problems in engineering (2) 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) 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
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.