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
MAT527	TRANSFORMATIONS AND GEOMETRIES IN SPACES OF HIGHER DIMENSION	Elective	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

The aim of this course is to give basic concepts and theorems of TRANSFORMATIONS AND GEOMETRIES IN SPACES OF HIGHER DIMENSION.

Name of Lecturer(s)

Doç.Dr.Murat BABAARSLAN

Learning Outcomes

1	Knows affine space and the affine tranformations
2	Dominate the concept of Euclidean space
3	Give examples of normal sub-space and the hypersurface
4	Knows motions
5	Dominate issues of translation, rotation and reflection

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Affine spaces and affine transformations, some special automorphisms, Euclidean spaces, the normal sub-spaces and hypersurfaces, Isometries of Euclidean space, movement, equivalent isometries, the classification of planar Isometries, translations, rotations, reflections.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Affine spaces and affine transformations
2	Affine spaces and affine transformations
3	Some special automorphisms
4	Some special automorphisms
5	Euclidean spaces
6	The normal sub-spaces and hypersurfaces
7	Isometries of Euclidean space
8	MID-TERM EXAM
9	Motions
10	Equivalent isometries
11	The classification of planar Isometries
12	The classification of planar Isometries
13	Translations
14	Rotations
15	Reflections
16	FINAL EXAM

Recommended or Required Reading

Yüksek Boyutlu Uzaylarda Dönüşümler ve Geometriler, Prof. Dr. H. Hilmi Hacısalihoğlu, İnönü Üniv., 1980

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)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	80	80
Final Examination	1	70	70
Makeup Examination	1	40	40
TOTAL WORKLOAD (hours)			190

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

LO3

LO4

LO5

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