COURSE SYLLABUS

ANALYTIC GEOMETRY I

1	Course Title:	ANALYTIC GEOMETRY I
2	Course Code:	MAT2013
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	3
7	ECTS Credits Allocated:	4
8	Theoretical (hour/week):	2
9	Practice (hour/week) :	2
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:	Prof. Dr. CENGIZHAN MURATHAN
16	Course Lecturers:	Prof. Dr. Kadri ARSLAN,, Prof.Dr. Basri ÇELİK, Prof.Dr.Esen İYİGÜN
17	Contactinformation of the Course Coordinator:	cengiz@uludag.edu.tr
18	Website:
19	Objective of the Course:	The purpose of this course is to give the principal information about the geometry to the students( which they need to during the undergraduate and graduate education). Teach the ways of how to solve the encountered problems.The other purpose of this course is to construct the fundamental for the Euclid, Differential Geometry and non-Euclidean geometries.
20	Contribution of the Course to Professional Development	Learn plane and space Euclead Geometry

Learning Outcomes:

1	They learn Affine space.;
2	They construct Euclidean space.;
3	They learn the structure of Affine transformations.;
4	They learn the consept of ısometry.;
5	They learn rotation.;
6	They calculate the reflections to a line on the plane.;
7	They classify the intersections of a cone and plane.;
8	They know the general properties and applications of cones.;
9	They learn line in plane;

22	Course Content:

Week	Theoretical	Practical
1	Vectors in the plane, inner product, and some concepts of linear independence	Exercise
2	Lines in the plane, the line equations, parallel and perpendicular lines, perpendicular projection of a point on a straight line.	Exercise
3	Directed distance from a line to a point, angle between two lines, the line bundle.	Exercise
4	Affine transformations in the plane ,translations, rotations.	Exercise
5	A transition from orthogonal coordinate system to oblique coordinate system,	Exercise
6	Reflections	Exercise
7	General definition of conics, analytical examination of the circle.	Exercise
8	Analytical examination of the ellipse.	Exercise
9	Analytical examination of hyperbole.	Exercise
10	Analytical examination of the parabola.	Exercise
11	The definition of curves and classification of planar curves.	Exercise
12	Second-degree curves in the plane	Exercise
13	General equations of conics	Exercise
14	Polar Coordinates	Exercise

23	Textbooks, References and/or Other Materials:	1)Hacısalihoğlu, H.H., Analitik Geometri, Ankara Üniversitesi, Fen Fak. Matematik Böl.Ankara,1998. 2)Kaya, R., Analitik Geometri, Bilim Teknik Yayınevi, Eskişehir, 1996
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	The system of relative evaluation is applied
Information

ECTS / WORK LOAD TABLE

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High