Ordu 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
IMO1042013331	GEOMETRY	Compulsory	1	2	6

Level of Course Unit

First Cycle

Objectives of the Course

To understand the basic definitions, axioms and theorems of geometry, to gain the geometric proof ability.

Name of Lecturer(s)

Yrd. Doç. Dr. Cemal BELEN

Learning Outcomes

1	Explains the definition of geometry and its usage in real life.
2	Describes Euclidean and non-euclidean geometry and learns the differences between them.
3	Explains the relationships between the concepts of point, line and plane.
4	Describes the basic geometric concepts such as triangle, polygon, circle and sphere, and proves theorems concerning these concepts.
5	Makes applications related with the areas and volumes of solids

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Definitions and real life usage of geometry. Axioms, undefined concepts and theorem. Euclidean geometry and non-Euclidean geometries, fundamental axioms of Euclid geometry. The relationships among point, line and plane. Angle, types of angle, axioms of equivalence and congruence of angles, applications of angles. Definitions of polygon. Definitions of triangle, types of triangle, elements of triangle, axioms and theorems of equivalence of triangle, theorems on congruence of triangle and their applications. Proofs of theorems on trapezoid, parallelogram, rhombus, rectangle, square, kite. Applications of quadrilaterals. Ring and circle, Theorems and their proofs on circle, applications of circle, properties of solids in space, applications on surfaces and volumes of solids.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Definition, construction and usage in real life of geometry Axiom,Theorem,Nondefining concepts and Non-Euclidean Geometry Euclidean and non-Euclidean geometries
2	Fundamental axioms of Euclid geometry
3	The relationships among point, line and plane
4	Angle, types of angle, axioms of equivalence and congruence of angles, applications of angles
5	Definitions of triangle, types of triangle, elements of triangle
6	Axioms and theorems of equivalence of triangle
7	Theorems on congruence of triangle and their applications
8	Midterm exam
9	Proofs of theorems on trapezoid, parallelogram, rhombus, rectangle, square, deltoid.
10	Proofs of theorems on trapezoid, parallelogram, rhombus, rectangle, square, deltoid.
11	Applications on quadrilaterals
12	Ring and circle, Theorems and their proofs on circle, applications of circle
13	Ring and circle, Theorems and their proofs on circle, applications of circle
14	Properties of solids in space, applications on surfaces and volumes of solids.
15	Properties of solids in space, applications on surfaces and volumes of solids.
16	Final exam

Recommended or Required Reading

1) Coxeter, H.S.M., 1989, Introduction to geometry, Wiley Publishing, No 2, San Francisco. 2) Arslaner,R., 2009, Geometri Ders Notları, İ.Ü.E.F., Malatya. 3) Demir H., 1998. Euclid Geometrisi, ODTÜ Vakfı, Ankara.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
SUM		0
End Of Term (or Year) Learning Activities	Quantity	Weight
SUM		0
Yarıyıl (Yıl) İçi Etkinlikleri		40
Yarıyıl (Yıl) Sonu Etkinlikleri		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	3	42
Discussion	14	1	14
Question-Answer	14	2	28
Individual Study for Homework Problems	14	2	28
Individual Study for Mid term Examination	1	30	30
Individual Study for Final Examination	1	35	35
TOTAL WORKLOAD (hours)			181

Contribution of Learning Outcomes to Programme Outcomes

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