Mathematical Physics - NOT AVAILABLE IN 2025-2026
(1) General
| School: | Of the Environment | ||
| Academic Unit: | Department of Marine Sciences | ||
| Level of studies: | Undergraduate | ||
| Course Code: | 191ΜΥ26Ε | Semester: | E |
| Course Title: | Mathematical Physics - NOT AVAILABLE IN 2025-2026 | ||
| Independent Teaching Activities | Weekly Teaching Hours | Credits | |
| Total credits | 5 | ||
| Course Type: | Specialised general knowledge | ||
| Prerequisite Courses: | Prerequisites are the courses Mathematics I and Mathematics II. In practice, essential prerequisites for the course are differential and vector calculus. Attendance and participation in the course is required and unexcused absences may result in failure. | ||
| Language of Instruction and Examinations: | Greek | ||
| Is the course offered to Erasmus students: | |||
| Course Website (Url): | https://www.mar.aegean.gr/index.php?lang=en&lesson=1056&pg=3.1.1 | ||
(2) Learning Outcomes
Learning Outcomes
It is expected that students should learn the material presented in the Syllabus.
General Competences
The aim of the course is the introduction to the equations of mathematical physics, which usually are partial differential equations.
(3) Syllabus
Integration in higher dimensions: Line integrals and applications, double and triple integrals, surface integrals, the theorems of Green, Stokes and Gauss.
One of the following:
The classical equations of mathematical physics: Laplace equation, the wave equation, the diffusion equation, Maxwell’s equations,
Introduction to fluid mechanics: Navier-Stokes equations and applications.
(4) Teaching and Learning Methods - Evaluation
| Delivery: | Face-to-face | ||||||||||||||||||
| Use of Information and Communication Technology: | Communication with students via the e-class platform. Students are encouraged to use MATHEMATICA. | ||||||||||||||||||
| Teaching Methods: |
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| Student Performance Evaluation: | One problem solved as homework and final exam or two problems solved as homework. Attendance and participation in the course is required and unexcused absences may result in failure. The overall grading scheme is based on a case-by-case evaluation of each student's growth and progress. |
(5) Attached Bibliography
- Suggested bibliography:
Class Notes, Mathematical Physics, 90 pages (in Greek).
Bachman, Advanced Calculus Demystified (McGraw-Hill 2007).
-Additional bibliography:
A.J. Chorin and J.E. Marsden, A Mathematical Introduction to Fluid Mechanics, (Springer 2000).
I.M. Cohen and P.K. Kundu, Fluid Mechanics, (Academic Press 2007).