# Classical Differential Geometry II

 Title ΚΛΑΣΙΚΗ ΔΙΑΦΟΡΙΚΗ ΓΕΩΜΕΤΡΙΑ ΙΙ / Classical Differential Geometry II Code 0332 Faculty Sciences School Mathematics Cycle / Level 1st / Undergraduate Teaching Period Winter Common No Status Active Course ID 40000470

### Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses belonging to the selected specializationWinter-5.5

 Academic Year 2017 – 2018 Class Period Winter Faculty Instructors Class ID 600099116
Course Type 2016-2020
• Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
• Face to face
Digital Course Content
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
Lectures301
Tutorial90.3
Total391.3
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