Mathematics ΙΙΙ
| Title | ΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ ΙΙΙ / Mathematics ΙΙΙ |
| Code | GMC 323E |
| Faculty | Sciences |
| School | Geology |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Ioannis Pytharoulis |
| Common | No |
| Status | Active |
| Course ID | 40002016 |
| Academic Year | 2018 – 2019 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600130462
|
Class Schedule
| Building | Μετεωρολογίας |
| Floor | Ισόγειο |
| Hall | "ΚΥΡΙΑΖΟΠΟΥΛΟΣ ΒΑΣΙΛΕΙΟΣ" (234) |
| Calendar | Τρίτη 13:00 έως 15:00 |
| Building | Μετεωρολογίας |
| Floor | Ισόγειο |
| Hall | "ΚΥΡΙΑΖΟΠΟΥΛΟΣ ΒΑΣΙΛΕΙΟΣ" (234) |
| Calendar | Τετάρτη 16:00 έως 17:00 |
Course Type 2016-2020
- General Knowledge
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600130462
- Other: http://users.auth.gr/pyth/mathsIII/
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
Upon successful completion of this course, the students will:
1) Understand and distinguish the kinds of diffential equations and difference equations,
2) Be able to solve the kinds of difference equations and differential equations which are included in the syllabus,
3) To know and apply differential equations and difference equations to solve problems
General Competences
- Apply knowledge in practice
- Work autonomously
- Work in teams
Course Content (Syllabus)
Difference equations (linear difference equations of first, second or higher order, stability), linear systems of difference equations. 1st order Differential Equations (separation of variables, homogeneous, linear, Bernoulli, Riccati), exact differential equation of 1st order, integrating factor, linear differential equations of 2nd or higher order, linear differential equations of Euler, linear systems of differential equations. Applications of difference equations and differential equations.
Keywords
Differential equations, difference equations
Educational Material Types
- 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
Description
1) All class material is available in electronic form to all students through the course web page.
2) The teacher communicates with students through e-mail.
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | ✓ | ||||
| Tutorial | ✓ | ||||
| Total |
Student Assessment
Description
Written exams, written assignments (during lectures and at home)
Student Assessment methods
- Written Exam with Problem Solving (Formative)
Bibliography
Course Bibliography (Eudoxus)
Κυβεντίδης Θ., 2005: Ανώτερα Μαθηματικά. Τόμος Τρίτος. Εκδόσεις ΖΗΤΗ. Θεσσαλονίκη, ISBN 960-431-950-7
Φλόκας Α.Α., Σχοινάς Ι.Χ., 1999: Ειδικά Κεφάλαια Ανώτερων Μαθηματικών. Εκδόσεις ΖΗΤΗ. Θεσσαλονίκη, ISBN 960-431-113-1
Additional bibliography for study
Κυβεντίδης Θ.: Διαφορικές εξισώσεις. Εκδόσεις ΖΗΤΗ. Θεσσαλονίκη
Branson Richard: Εισαγωγή στις διαφορικές εξισώσεις. Μετάφραση: Σ.Κ. Περσίδης, Schaum's Outline Series, McGraw Hill - New York, ΕΣΠΙ - Αθήνα
Last Update
13-09-2018
