| Title | ΚΛΑΣΙΚΗ ΔΙΑΦΟΡΙΚΗ ΓΕΩΜΕΤΡΙΑ ΙΙ / Classical Differential Geometry II |
| Code | 0332 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Common | Yes |
| Status | Active |
| Course ID | 40000470 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 21
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Elective Courses belonging to the selected specialization | 6 | 3 | 5.5 |
| Academic Year | 2017 – 2018 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600099202
|
Course Type 2016-2020
- Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600099202
- At the Website of the School: users.auth.gr/stamata
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Examination)
- French (Examination)
- German (Examination)
General Competences
- Work autonomously
- Work in teams
- Work in an international context
- Work in an interdisciplinary team
- Generate new research ideas
Course Content (Syllabus)
Elements of the theory of differential forms. The methode of the mooving frame. The fundamental equations of the surfaces theory. Invariant forms. The Gauss mapping. The Darboux frame. Normal curvature, geodesic curvature, geodesic torsion. Principal curvatures. Lines of curvature. Intrinsic surfaces geometry.
Keywords
Intrinsic surfaces, Cartan's method
Educational Material Types
- Notes
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 30 | 1 | ✓ | ||
| Reading Assigment | ✓ | ||||
| Tutorial | 9 | 0.3 | ✓ | ✓ | |
| Total | 39 | 1.3 |
Student Assessment
Description
Written examination
Student Assessment methods
- Written Exam with Short Answer Questions (Formative, Summative)
- Written Assignment (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Ν. Στεφανίδη: Διαφορική Γεωμετρία, Β’ έκδοση βελτ. και επαυξ.
- Ν. Στεφανίδη: Διαφορική Γεωμετρία, Τόμος Ι
- Δ.Κουτρουφιώτη: Στοιχεία Διαφορικής Γεωμετρίας, Leader Books, 2006
Additional bibliography for study
- Gray A.: Modern Differential Geometry of Curves and Surfaces with Mathematica. Second edition. CRC Press, 1998
- Haack W.: Elementare Differentialgeometrie. Birkhäuser Verlag, 1955
- Laugwitz D.: Differentialgeometrie. B.G.Teubner, 1977
- Μπρίκα Μ.: Μαθήματα Θεωρίας Επιφανειών. 1967
- Pressley A.: Στοιχειώδης Διαφορική Γεωμετρία. Π.Ε.Κ. 2011
- Στάμου Γ.: Ασκήσεις Διαφορικής Γεωμετρίας. Εκδόσεις Ζήτη, 1990
- Scheffers G..: Anwendung der Differential- und Integralrechnung auf Geometrie. W. d. Gruyter & Co, 1922
- Strubecker K.: Differentialgeometrie, Sammlung Göschen, 1969
Last Update
20-09-2013