GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

MOTION GEOMETRY AND THEORY OF QUATERNIONS/DAD 1598

Course Title:	MOTION GEOMETRY AND THEORY OF QUATERNIONS
Credits	3	ECTS	7.5
Semester	1	Compulsory/Elective	Elective

COURSE INFO

-- LANGUAGE OF INSTRUCTION

Turkish

-- NAME OF LECTURER(S)

Prof. Mustafa Çalışkan, Assoc. Prof. Derya Sağlam

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

http://websitem.gazi.edu.tr/site/mustafacaliskan, http://websitem.gazi.edu.tr/site/deryasaglam

-- EMAIL(S) OF LECTURER(S)

mustafacaliskan@gazi.edu.tr, deryasaglam@gazi.edu.tr

-- LEARNING OUTCOMES OF THE COURSE UNIT

He/she defines the concept of dual number system and dual number ring.
He/she understands E.Study transformation and dual angle.
He/she learns the exterior product on D-module,mixed product and vector dual base concept.
He/she understands real quaternions algebra.
He/she learns line geometry.

-- MODE OF DELIVERY

The mode of delivery of this course is Face to face

-- PREREQUISITES AND CO-REQUISITES

There is no prerequisite or co-requisite for this course.

-- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS

There is no recommended optional programme component for this course.

--COURSE CONTENT
1. Week	Dual number systems and dual number rings
2. Week	Matrix representations of dual numbers and dual vector spaces
3. Week	D-module, inner product and norm on D-module
4. Week	E. Study mappings and dual angle
5. Week	Exterior product, mixed product on D-module
6. Week	Dual isometries on D-module
7. Week	Taylor series of dual valuable functions
8. Week	Mid-term exam
9. Week	Real quaternion algebra
10. Week	Matrix representation of real quaternions
11. Week	Symplectic geometry
12. Week	Dual quaternion
13. Week	Line quaternion
14. Week	Quaternion operators, rotation and translation operators
15. Week	Screw operators and screw motions
16. Week	Final

-- RECOMMENDED OR REQUIRED READING

Hacısalihoğlu, H.Hilmi. Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi Fen-Edebiyat Fakültesi, Matematik Bölümü.,1983.#Ward, J.P. Quaternions and Cayley Numbers, Kluwer Academic Publisher, 1997.#Karger, A., Novak, J., Space Kinematics and Lie Groups, Gordon and Breach Science Publisher, 1985.#Dixon, G. Division Algebras: Octonions, Quaternions, Complex Numbers and Algebraic Design of Physics, Kluwer Academic Publisher, 1994######

-- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS

Lecture, Question & Answer, Demonstration, Drill - Practise

-- WORK PLACEMENT(S)

Not Applicable

-- ASSESSMENT METHODS AND CRITERIA

	Quantity	Percentage
Mid-terms	1	40
Assignment	0	0
Exercises	0	0
Projects	0	0
Practice	0	0
Quiz	0	0
Contribution of In-term Studies to Overall Grade		40
Contribution of Final Examination to Overall Grade		60

-- WORKLOAD

Efficiency	Total Week Count	Weekly Duration (in hour)	Total Workload in Semester
Theoretical Study Hours of Course Per Week	14	3	42
Practising Hours of Course Per Week			0
Reading	8	3	24
Searching in Internet and Library	5	3	15
Designing and Applying Materials	5	3	15
Preparing Reports	5	3	15
Preparing Presentation	4	3	12
Presentation	3	3	9
Mid-Term and Studying for Mid-Term	6	3	18
Final and Studying for Final	10	3	30
Other			0
TOTAL WORKLOAD:			180
TOTAL WORKLOAD / 25:			7.2
ECTS:			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

NO	PROGRAM LEARNING OUTCOMES	1	2	3	4	5
1					X
2					X
3					X
4					X
5				X
6					X
7			X
8				X
9					X
10				X
11					X
12					X

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GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR