1	Course Title:	GEOMETRY
2	Course Code:	MAT1004
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	1
6	Semester:	2
7	ECTS Credits Allocated:	4
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	None
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Doç. Dr. MENEKŞE SEDEN TAPAN BROUTIN
16	Course Lecturers:
17	Contactinformation of the Course Coordinator:	Y.Doç.Dr. Menekşe Seden TAPAN BROUTIN tapan@uludag.edu.tr 0 224 2942162 Uludağ Üniversitesi Eğitim Fakültesi, A Blok, İlköğretim Bölümü, 16059 Nilüfer,Bursa
18	Website:
19	Objective of the Course:	Studying Euclidean geometry thorough all its axiomatic structure and conceptualizing the properties of plane figures.
20	Contribution of the Course to Professional Development

21

Learning Outcomes:

1 Explains the historical development of Euclidean and non-Euclidean geometries ; 2 Describes the axiomatic structure of geometry ; 3 Explains concepts of defined and undefined terms, axiom and theorem; 4 Read the geometry book written by Ataturk and understand its content and its importance; 5 Formulates basic axioms of Euclidean geometry and use them in proofs; 6 Comments geometric concepts with a deductive point of view; 7 Formulates sufficient and complete definitions for the concepts of triangle, rectangle and polygon and make modulation between these definitions and geometric properties; 8 Realises basic geometric drawings with ruler and compass and make detailed explanations for these drawings ; 9 Defines the concepts of the circle and disk, proove theorems about the angle and length.; 10 Formulates properties of objects in space, areas and volumes of solids;

22	Course Content:

Week	Theoretical	Practical
1	Euclidean and non-Euclidean geometries' historical development. Axiomatic structure of geometry, concepts of defined and undefined terms, axioms and theorems
2	Review of the geometry book written by Atatürk. Combination axioms and relation and theorems and proofs related to the subject.
3	Order axioms and relation and theorems and proofs related to the subject. Cantor's continuity axiom.
4	Congruence axioms and relations for segments. Construction of segments, equilateral triangles using only compass and unitless ruler
5	Concept of angle. Congruence axioms and relations for angles; theorems and proofs related to the subject. Construction of angles using only compass and unitless ruler.
6	Concept of triangle. Congruence axioms and relations for triangles; theorems and proofs related to the subject. Construction of triangles using only compass and unitless ruler.
7	Matching and equality in triangles. SAS definition, ASA, SSS, SAA, SSAA* theorems and their proofs
8	Triangle drawings from given edges, angles or auxiliary elements with the only help of ruler and compass. Triangle inequality. SAS inequality and inclined line theorems and their proofs.
9	Circle-line relations in the plane. Positions of two circles to each other and their drawings with the only help of compass and ruler.
10	Parallels axioms and relation and theorems and proofs related to the subject.
11	Drawings of paralll lines on a plane
12	Euclid's parallelism axiom. discussions related with this axiom.Hilbert's parallelism axiom. Playfair axiom, isoparallelism axiom and transition to non-euclidean geometries.
13
14

23	Textbooks, References and/or Other Materials:
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	0	0	0
Self Study and Preparation	14	4	56
Homeworks, Performances	0	12	48
Projects	2	17	34
Field Studies	0	0	0
Midtermexams	1	25	25
Others	0	0	0
Final Exams	1	35	35
Total WorkLoad			240
Total workload/ 30 hr			8
ECTS Credit of the Course			8

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CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 PQ13 PQ14 PQ15 PQ16 LO1 4 0 3 0 5 1 2 0 0 0 0 0 0 0 0 0 LO2 3 0 3 0 5 0 4 0 0 0 0 0 0 0 0 0 LO3 3 0 2 0 5 0 5 0 0 0 0 0 0 0 0 0 LO4 3 0 2 0 1 0 2 1 0 0 0 0 0 0 0 0 LO5 3 0 2 0 5 0 5 0 0 0 0 0 0 0 0 0 LO6 3 0 3 0 5 0 5 0 0 0 0 0 0 0 0 0 LO7 3 0 3 0 5 0 5 0 0 0 0 0 0 0 0 0 LO8 3 0 4 0 4 0 4 0 0 3 0 0 0 0 0 0 LO9 3 0 2 0 5 0 5 0 0 0 0 0 0 0 0 0 LO10 2 0 1 0 4 0 4 2 0 0 0 0 0 0 0 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High