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 | 2019 – 2020 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600159868
|
Course Type 2016-2020
- General Knowledge
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study 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
e-learning for homework and grading
powerpoint for lecture presentations
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 78 | ✓ | |||
| Reading Assigment | 10 | ✓ | |||
| Written assigments | 29 | ✓ | |||
| Exams | 3 | ✓ | |||
| Total | 120 |
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/egr537-lctrs.pdf
2. Lecture Notes on Numerical Analysis, P. J. Olver, http://www-users.math.umn.edu/~olver/num.html
Last Update
10-11-2020
