Yozgat Bozok University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MAT558	DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES II	Elective	1	2	6

Level of Course Unit

Second Cycle

Objectives of the Course

To comprehend differential geometry of curves and surfaces

Name of Lecturer(s)

Doç.Dr.Murat BABAARSLAN

Learning Outcomes

1	To learn curve and surfaces
2	To apply curve and surfaces

Mode of Delivery

Formal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

The first basic form, orientation of surfaces, a geometric definition of the field, the definition and basic properties of Gauss transformation, Gauss transformation in local coordinates, vector fields, ruled surfaces, minimal surfaces, isometries, conformal transformations, parallel translation, geodesics, Gauss-Bonnet Theorem, exponential transformation , polar coordinates

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	The first basic form
2	orientation of surfaces
3	a geometric definition of the field
4	the definition and basic properties of Gauss transformation
5	Gauss transformation in local coordinates
6	vector fields
7	Regle surfaces
8	minimal surfaces
9	isometries
10	conformal transformations
11	parallel translation
12	geodesics
13	Gauss-Bonnet Theorem, exponential transformation
14	polar coordinates

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	70	70
Final Examination	1	80	80
Makeup Examination	1	20	20
TOTAL WORKLOAD (hours)			170

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High