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 
Programme of Study: UPS of School of Physics (2012today)
Registered students: 93
Orientation  Attendance Type  Semester  Year  ECTS 

Core  General Electives  8  4  4 
Academic Year  2019 – 2020 
Class Period  Spring 
Faculty Instructors 

Weekly Hours  3 
Class ID  600159868

Type of the Course
 General Knowledge
Course Category
General Foundation
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600159868
 At the Website of the School: http://www.physics.auth.gr/courses/167
 eLearning: https://elearning.auth.gr/course/view.php?id=4150
 OpenCourses (eClass): https://opencourses.gr/opencourse.xhtml?id=15588&ln=el
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
elearning for homework and grading
powerpoint for lecture presentations
Course Organization
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  78  2.6  ✓  
Reading Assigment  10  0.3  ✓  
Written assigments  29  1.0  ✓  
Exams  3  0.1  ✓  
Total  120  4 
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.
Additional bibliography for study
1. Lecture Notes in Basic Computational Numerical Analysis, J. M. McDonough, http://web.engr.uky.edu/~acfd/egr537lctrs.pdf
2. Lecture Notes on Numerical Analysis, P. J. Olver, http://wwwusers.math.umn.edu/~olver/num.html
Last Update
10112020