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
1To be able to develop their knowledge of theory and applications at master degree depending on the competencies acquired in undergraduate level.X
2To be able to recognize different problems encountered in mathematics and to be able to make studies for their solutions.X
3To be able to formulate new solutions with scientific methods mostly based on analysis and synthesis.X
4To be able to carry out his/her works either independently or in groups within a project considering his/her knowledge on the field he/she works in a critical approach.X
5To be able to continue his/her works considering social, scientific and ethical values.X
6To be able to follow scientific and social developments related to his/her field.X
7To be able to carry out his/her works within the framework of quality management, workplace safety and environmental awareness and to be able to present systematically his/her works using various methods like written, oral or visual.X
8To be able to use methods of accessing knowledge effectively in accordance with ethical values.X
9To be able to use knowledge in other disciplines by combining it with mathematical information.X
10To be able to make activities in the awareness of need for lifelong learning.X
11To be able to make connections between mathematical and social concepts and produce solutions with scientific methods.X
12To be able to use his/her mathematical knowledge in technology.X