Mathematical Methods in Physics
| Title | ΜΑΘΗΜΑΤΙΚΕΣ ΜΕΘΟΔΟΙ ΦΥΣΙΚΗΣ / Mathematical Methods in Physics |
| Code | ΜΑΥ2205 |
| Faculty | Sciences |
| School | Physics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Anastasios Petkou |
| Common | No |
| Status | Active |
| Course ID | 600021674 |
Programme of Study: PROGRAMMA SPOUDŌN 2022
Registered students: 167
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Compulsory Course | 4 | 2 | 5 |
| Academic Year | 2025 – 2026 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Total Hours | 52 |
| Class ID | 600281265
|
Course Type 2021
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600281265
- At the Website of the School: https://www.physics.auth.gr/courses/143
- eLearning: https://elearning.auth.gr/course/view.php?id=14221
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Basic knowledge of differential and integral calculus of one and multiple variables.
Learning Outcomes
Upon the successful completion of the course, the students will be able to:
- Apply complex analysis theorems to compute real integrals.-
- Analyze functions using Fourier series and Fourier transforms.
- Understand and utilize the delta function and its properties.
- Apply Fourier analysis to electric circuits and wave equations.
General Competences
- Apply knowledge in practice
- Be critical and self-critical
- Advance free, creative and causative thinking
Course Content (Syllabus)
- Expansion of a function into a series of functions – Fourier series
- Fourier transforms
- Application of Fourier analysis to electric circuits and the solution of the wave equation
- Delta function: definition and properties
- Analytic functions – Cauchy's theorems and the Residue Theorem – Evaluation of real integrals
Educational Material Types
- Notes
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
Description
- Use of Zoom platform for online teaching when necessary.
- Use of the e-learning platform for uploading exercises and lecture notes.
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 120 | 4 | ✓ | ||
| Tutorial | 30 | 1 | |||
| Total | 150 | 5 |
Student Assessment
Description
- Class participation: Assessment of active participation, understanding, and ability to explain concepts.
- Problem-solving exercises: Evaluation of practical skills and applications through exercises during the semester.
- Written exams: The main method for assessing understanding of theory and application of mathematical concepts and techniques.
Student Assessment methods
- Written Exam with Extended Answer Questions (Formative, Summative)
- Written Assignment (Formative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Μαθηματικές μέθοδοι για φυσικούς: μια περιεκτική εισαγωγή, Tail. Chow, Εκδόσεις Κλειδάριθμος (Eύδοξος: 77108681)
- Μαθηματικές Μέθοδοι για Φυσικούς, George B. Arfken, Hans J. Weber, Frank E. Harris, Έκδοση: , Εκδόσεις: ,
[Εύδοξος: 133040877]
Last Update
21-07-2025
