COURSE SYLLABUS

ANALYTIC GEOMETRY II

1	Course Title:	ANALYTIC GEOMETRY II
2	Course Code:	MAT2014
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	4
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	The students learn Three dimensional Eucled space and basic surfaces in thsi space.

Learning Outcomes:

1	They understand the concept of line and plane in space;
2	They learn the geometric interpretation of vector and scalar product. ;
3	They learn the definition of surface.;
4	They have general information about Sphere, cone, cylinder surface. ;
5	They learn , surfaces of revolution and quadratic surfaces.;
6	They learn other coordinate systems in space,cylindrical coordinates, spherical coordinates and polar coordinates;
7	They learn curves in the space;
8	Learns the relative positions of planes and lines.;
9	Learns how the vector cross product relates to area.;

22	Course Content:

Week	Theoretical	Practical
1	Cartesian coordinates in space, Space vectors, vector operations.	Exercise
2	The line equation in space, parallel and perpendicular lines, angle between two lines, the distance from a Line to a point	Exercise
3	The intersection point of two lines, the distance between two lines, plane equation, Plane equation(three points given)	Exercise
4	Line and plane relation,the volume of a tetrahedron, Planes relative to each other situations,the situations of a line and a plane, symmetry.	Exercise
5	Definition of surface and sphere surface.	Exercise
6	Cylinde surfacer	Exercise
7	Cone surface	Exercise
8	Surfaces of Revolution	Exercise
9	Quadric surfaces	Exercise
10	Rotations in Space	Exercise
11	Curves in Space, helixes, intersection curves of surface	Exercise
12	Cylindrical coordinates, spherical coordinates, polar coordinates	Exercise
13	analytic geometry on the n-dimensional space,	Exercise
14	a point in R ^ n, Hyperplane in R ^n, hypersurfaces.	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