1	Course Title:	ALGEBRAIC GEOMETRY I
2	Course Code:	MAT6307
3	Type of Course:	Optional
4	Level of Course:	Third Cycle
5	Year of Study:	1
6	Semester:	1
7	ECTS Credits Allocated:	5
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	-
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. SÜLEYMAN ÇİFTÇİ
16	Course Lecturers:	Doç. Dr.Basri ÇELİK-Yrd. Doç.Dr. Atilla AKPINAR
17	Contactinformation of the Course Coordinator:	E-posta: sciftci@uludag.edu.tr Telefon: +90 224 2941754 Adres: Uludağ Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü 16059 Görükle-Bursa-TÜRKİYE
18	Website:
19	Objective of the Course:	To teach basic concepts needed in studies of algebraic geometry
20	Contribution of the Course to Professional Development

21

Learning Outcomes:

1 Calculates cross ratio; 2 Constructs an geometric structure by using coordinates; 3 Learns important of quadrangles for coordinatization ; 4 Interprets the relation among different geometries ; 5 Knows Euclidean and non-Euclidean geometries ; 6 Uses projective and affine transformations;

22	Course Content:

Week	Theoretical	Practical
1	Basic concepts of geometry
2	Triple geometry.
3	Synthetic projective geometry
4	Projective transformations
5	Coordinate systems
6	Quadrangles
7	Analytic projective geometry
8	Cross ratio
9	Affine geometry
10	Ideal points, affine transformations
11	Euclid plane geometry, Non-Euclidean geometry
12	Euclid transformations
13	Non-Euclidean geometry
14	Hyperbolic geometry, elliptic and spherical geometries

23	Textbooks, References and/or Other Materials:	1. B.E.Meserve, Fundamental Concepts of Geometry, Dover Publications Inc., New York, 1995, ISBN: 0 486 63415 9 2. L.Edwards, Projective Geometry, Floris Boks, Edinburgh, 2003, ISBN: 0 86315 393 3
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	0	0
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	100
Total	1	100
Contribution of Term (Year) Learning Activities to Success Grade		0
Contribution of Final Exam to Success Grade		100
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	5	70
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	0	0	0
Others	14	5	70
Final Exams	1	12	12
Total WorkLoad			194
Total workload/ 30 hr			6,47
ECTS Credit of the Course			6,5

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 LO1 2 1 2 0 1 2 1 2 2 2 LO2 2 2 1 0 2 2 2 1 1 1 LO3 3 2 2 0 3 3 2 2 2 2 LO4 3 4 3 0 4 3 4 2 2 3 LO5 4 3 2 0 3 4 5 3 4 4 LO6 4 4 3 0 5 3 4 4 3 3

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High