Τμήμα Ωκεανογραφίας και Θαλασσίων Βιοεπιστημών

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Differential Equations - NOT AVAILABLE IN 2025-2026
School:
Of the Environment
Academic Unit:
Department of Marine Sciences
Level of studies:
Undergraduate
Course Code:
191ΜΥ24Ε
Semester:
F
Course Title:
Differential Equations – NOT AVAILABLE IN 2025-2026
Credits
5
Course Type:
Specialised general knowledge
Prerequisite Courses:
Prerequisites are the courses Mathematics I and Mathematics II. 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:
Yes. In case of participation of Erasmus students, the course is offered in English.
  • (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 modelling via differential equations.

  • (3) Syllabus

Part A. Ordinary differential equations (second-order linear differential equations, linear differential equations with constant coefficients). Partial differential equations (Fourier series, Laplace equation, the method of separation of variables, linear wave equation, diffusion equation, problems involving approximate solutions with MATHEMATICA).

Part B. One of the following:

(1) Dynamical systems (two-dimensional nonlinear dynamical systems, conservative systems, models in population dynamics, competing species, prey-predator models, epidemic models).

(2) Biological invasions (models described by the Fischer-Kolmogorov equation).

(3). Applications of PDEs in heat transfer and hydrodynamics.

  • (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:
Activity Semester workload
Lectures/Turorials
40
Tutorials
10
Independent study
30
Assignment work
45
Course total
125
  • 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, Differential Equations, 250 pages (in Greek).

Γ. Παντελίδης, Δ. Κραββαρίτης και Ν. Χατζησάββας, Συνήθεις Διαφορικές Εξισώσεις (Εκδόσεις Ζήτη).

Σ. Τραχανάς, Μερικές Διαφορικές Εξισώσεις (Πανεπιστημιακές Εκδόσεις Κρήτης).

E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems (John Wiley Inc., 2005).