GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

THE GEOMETRY OF STRAIGHT LINES/4440021

Course Title:	THE GEOMETRY OF STRAIGHT LINES
Credits	3	ECTS	7.5
Semester	1	Compulsory/Elective	Elective

COURSE INFO

-- LANGUAGE OF INSTRUCTION

Turkish

-- NAME OF LECTURER(S)

Prof. Dr. Hasan Hüseyin UĞURLU

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

w3.gazi.edu.tr/~hugurlu

-- EMAIL(S) OF LECTURER(S)

hugurlu@gazi.edu.tr

-- LEARNING OUTCOMES OF THE COURSE UNIT

They can understand dual geometrical concepts, quaternions and rotation operators.
They can give geometrical interpretations of these

-- 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

--COURSE CONTENT
1. Week	Dual numbers and the ring of dual numbers
2. Week	Dual vectors and Dual Space
3. Week	Dual unit sphere and E.Study’s mapping
4. Week	Dual inner product and Dual angle
5. Week	Dual Spherical Curves and Ruled Surfaces
6. Week	Dual cross product and Dual mixed product
7. Week	Exam
8. Week	Dual Orthogonal Matrices
9. Week	The introduction to Quaternions
10. Week	Unit quaternions
11. Week	Vector quaternions and Geometrical Interpretations
12. Week	Complex number operator, rotation operator
13. Week	Quaternion operator and applications
14. Week	Screw operator and Geometrical Applications.
15. Week
16. Week

-- RECOMMENDED OR REQUIRED READING

An Tzu Yang Application of quaternion algebra and dual numbers to the analysis of spatial mechanism, Ph. D. Thesis, Columbia University (1963 ).

-- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS

Lecture, Question & Answer, Demonstration, Drill - Practise

-- WORK PLACEMENT(S)

-- 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		60
Contribution of Final Examination to Overall Grade		40

-- WORKLOAD

Efficiency	Total Week Count	Weekly Duration (in hour)	Total Workload in Semester
Theoretical Study Hours of Course Per Week	14	2	28
Practising Hours of Course Per Week	14	2	28
Reading			0
Searching in Internet and Library			0
Designing and Applying Materials			0
Preparing Reports	14	4	56
Preparing Presentation	14	3	42
Presentation	14	2	28
Mid-Term and Studying for Mid-Term			0
Final and Studying for Final			0
Other			0
TOTAL WORKLOAD:			182
TOTAL WORKLOAD / 25:			7.28
ECTS:			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

Gazi University