APPLIED MATHEMATICS
| Title | ΕΦΑΡΜΟΣΜΕΝΑ ΜΑΘΗΜΑΤΙΚΑ / APPLIED MATHEMATICS |
| Code | NCO-03-01 |
| Faculty | Sciences |
| School | Informatics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Nikolaos Tsitsas |
| Common | No |
| Status | Active |
| Course ID | 40002932 |
Programme of Study: PPS-Tmīma Plīroforikīs (2019-sīmera)
Registered students: 469
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| GENIKĪ KATEUTHYNSĪ | Compulsory Course | 3 | 2 | 7 |
| Academic Year | 2020 – 2021 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 6 |
| Class ID | 600176686
|
Course Type 2021
General Foundation
Course Type 2016-2020
- Background
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600176686
- At the Website of the School: http://www.csd.auth.gr/course-info.php?id=13
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=6562
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
Cognitive: the cognitive goals of the course are that the students learn basic notions of Applied Mathematics (Differential Equations, Complex Functions and Fourier Transforms) which can be essentially exploited in Computer Science.
Skills: students learn to use basic methodologies which are essential in several procedures, implementations and applications of computational and communications systems.
General Competences
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
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).
Keywords
Ordinary Differential Equations, Complex Functions, Fourier Analysis
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
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 78 | ✓ | |||
| Reading Assigment | 90 | ✓ | |||
| Exams | 3 | ✓ | |||
| Literature Study | 39 | ✓ | |||
| Total | 210 |
Student Assessment
Description
There will be two tests and the students can pass the course if they have grade greater than 5 in each one of these tests.
Student Assessment methods
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
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.
Additional bibliography for study
"ΕΦΑΡΜΟΣΜΕΝΑ ΜΑΘΗΜΑΤΙΚΑ", ΤΣΙΤΣΑΣ ΝΙΚΟΛΑΟΣ, 2016, ISBN: 978-960-603-257-8, Ηλεκτρονικό Βιβλίο
Διαθέτης (Εκδότης): Ελληνικά Ακαδημαϊκά Ηλεκτρονικά Συγγράμματα και Βοηθήματα - Αποθετήριο "Κάλλιπος"
Last Update
10-04-2022
