# Numerical Analysis

 Title ΑΡΙΘΜΗΤΙΚΗ ΑΝΑΛΥΣΗ / Numerical Analysis Code ΜΑΕ203 Faculty Sciences School Physics Cycle / Level 1st / Undergraduate Teaching Period Spring Coordinator Nikolaos Stergioulas Common No Status Active Course ID 40003044

 Academic Year 2020 – 2021 Class Period Spring Faculty Instructors Nikolaos Stergioulas 39hrs Weekly Hours 3 Class ID 600178542
Course Type 2016-2020
• General Knowledge
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
• Greek (Instruction, Examination)
• English (Examination)
Learning Outcomes
Upon the completion of the course, the students are expected to have 1) learned the main techniques of numerical analysis, 2) obtained experience in solving typical problems in physics with numerical methods, 3) practiced the implementation of algorithms of numerical analysis with programming languages.
General Competences
• Apply knowledge in practice
• Work autonomously
• Work in teams
• Work in an interdisciplinary team
Course Content (Syllabus)
The course deals with numerical and approximative methods of solving mathematical problems that are frequently met in Physics: Root finding and solution of nonlinear equations. Linear systems and matrices. Finite differences discretization and numerical derivatives. Numerical calculations of definite integrals. Numerical solutions of ordinary differential equations - error analysis and convergence. Introduction to numerical solution methods for partial differential equations. Computer applications of the above methods.
Keywords
numerical methods
Educational Material Types
• Notes
• Slide presentations
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Communication with Students
• Use of ICT in Student Assessment
Description
e-learning for homework and grading powerpoint for lecture presentations
Course Organization
Lectures78
Written assigments29
Exams3
Total120
Student Assessment
Description
final exam (problem solving) plus bonus of up to +1 grade for homework
Student Assessment methods
• Written Assignment (Formative)
• Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
Βιβλίο [68373915]: Αριθμητικές Μέθοδοι και Εφαρμογές για Μηχανικούς, 4η Έκδοση, Σαρρής Ι.- Καρακασίδης Θ. Βιβλίο [59366700]: ΕΙΣΑΓΩΓΗ ΣΤΗΝ ΑΡΙΘΜΗΤΙΚΗ ΑΝΑΛΥΣΗ, ΑΚΡΙΒΗΣ Γ.Δ., ΔΟΥΓΑΛΗΣ Β.Α.