Course Content (Syllabus)
This course aims at the students understanding the basic methodologies for the solution of Ordinary Differential Equations as well as the basic notions of Complex Analysis. Its syllabus is summarized in the following two sections:
-- Methodologies for solving ordinary differential equations with applications
-- Complex numbers, analytic complex functions and complex integration with applications
-- Fourier series and transforms
Also, there will be some implementations of the above by using mamthematical software (if time permits).
Course Bibliography (Eudoxus)
1. Θέματα Εφαρμοσμένών Μαθηματικών, Κραββαρίτης Δ., 978-618-80741-6-3, Εκδόσεις Τσότρας, 2013, 1η έκδοση, 33134034.
2. Στοιχειώδεις Διαφορικές Εξισώσεις και Προβλήματα Συνοριακών Τιμών, W. E. Boyce - R. C. Diprima, 60-254-543-7 Πανεπιστημιακές Εκδόσεις ΕΜΠ, 1999, 5η έκδοση, 20770.