GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

INTRODUCTION TO HYPERBOLIC GEOMETRY/6251305

Course Title:	INTRODUCTION TO HYPERBOLIC GEOMETRY
Credits	3	ECTS	7.5
Course Semester	1	Type of The Course	Elective

COURSE INFORMATION

-- (CATALOG CONTENT)

-- (TEXTBOOK)

-- (SUPPLEMENTARY TEXTBOOK)

-- (PREREQUISITES AND CO-REQUISITES)

-- LANGUAGE OF INSTRUCTION

Turkish

-- COURSE OBJECTIVES

-- COURSE LEARNING OUTCOMES

Hyperbolic geometry to create the infrastructure to make further investigations.

-- MODE OF DELIVERY

The mode of delivery of this course is face to face.

--WEEKLY SCHEDULE
1. Week	Euclid's parallel postulate.
2. Week	independence of the parallel postulate.
3. Week	Euclidean n-space.
4. Week	spherical n-space.
5. Week	Elliptic n-space.
6. Week	spherical arc length, spherical volume.
7. Week	Spherical trigonometry.
8. Week	K.Lorentzian n-space, hyperbolic n-space.
9. Week	Hyperbolic arc length, hyperbolic volume, hyperbolic trigonometry.
10. Week	Reflections, stereographic projection.
11. Week	Möbius transformations.
12. Week	Conformal ball model of hyperbolic space.
13. Week	The upper half-space model.
14. Week	Isometries of hyperbolic space.
15. Week
16. Week

-- TEACHING and LEARNING METHODS

-- ASSESSMENT CRITERIA

	Quantity	Total Weighting (%)
Midterm Exams	1	40
Assignment	0	0
Application	0	0
Projects	0	0
Practice	0	0
Quiz	0	0

Percent of In-term Studies		40
Percentage of Final Exam to Total Score		60

-- WORKLOAD

Activity	Total Number of Weeks	Duration (weekly hour)	Total Period Work Load
Weekly Theoretical Course Hours	14	3	42
Weekly Tutorial Hours	0	0	0
Reading Tasks	8	6	48
Searching in Internet and Library	12	5	60
Material Design and Implementation	0	0	0
Report Preparing	0		0
Preparing a Presentation	1	4	4
Presentation	1	2	2
Midterm Exam and Preperation for Midterm Exam	1	15	15
Final Exam and Preperation for Final Exam	1	15	15
Other (should be emphasized)	1	4	4
TOTAL WORKLOAD:			190
TOTAL WORKLOAD / 25:			7.6
Course Credit (ECTS):			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

-- NAME OF LECTURER(S)

(Prof. Dr. Aysel VANLI , )

-- WEB SITE(S) OF LECTURER(S)

(www.websitem.gazi.edu.tr/site/avanli)

-- EMAIL(S) OF LECTURER(S)

(avanli@gazi.edu.tr)

Gazi University