GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
THE THEORY OF QUATERNIONS/4350223
Course Title: THE THEORY OF QUATERNIONS
Credits 3 ECTS 7.5
Semester 2 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
   Assoc.Prof. Hasan ES
 -- WEB SITE(S) OF LECTURER(S)
  http://www.websitem.gazi.edu.tr/site/hasanes
 -- EMAIL(S) OF LECTURER(S)
  hasanes@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
To gain skills for relation analysis and learning about this lecture.
Understanding motion geometry by using dual quaternions







 -- 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
  Motion Geometry
 --COURSE CONTENT
1. Week  Real quaternion algebra, matrix representation of real quaternions
2. Week  Real quaternion algebra, matrix representation of real quaternions
3. Week  Symplectic geometry
4. Week  The basic operations on dual quaternions and dual quaternions
5. Week  The basic operations on dual quaternions and dual quaternions
6. Week  Line quaternion
7. Week  Quaternion operators
8. Week  Midterm Exam
9. Week  Rotation and translation operators
10. Week  Screw operators and screw motions
11. Week  Linear ray complexity
12. Week  Linear line congruans
13. Week  Dual velocity and dual acceleration
14. Week  Axis surfaces
15. Week  Pol surface of a line
16. Week  Final exam
 -- 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)
  -
 -- 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
10
5
50
 Searching in Internet and Library
0
 Designing and Applying Materials
0
 Preparing Reports
10
5
50
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
20
20
 Final and Studying for Final
1
25
25
 Other
0
 TOTAL WORKLOAD: 
187
 TOTAL WORKLOAD / 25: 
7.48
 ECTS: 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1X
2X
3X
4X
5
6
7
8X
9X
10X