GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MOTION GEOMETRY/1350206
Course Title: MOTION GEOMETRY
Credits 3 ECTS 7.5
Semester 1 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Mov. Geo.
 -- 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 dual variable functions similar to complex variable functions.







 -- MODE OF DELIVERY
  Bu ders sadece yüz yüze eğitim şeklinde yürütülmektedir.
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  Theory of quaternions
 --COURSE CONTENT
1. Week  Dual number systems and dual number rings
2. Week  Dual number systems and dual number rings
3. Week  Matrix representations of dual numbers
4. Week  Dual vector spaces
5. Week  D-module, inner product and norm on D-module
6. Week  D-module, inner product and norm on D-module
7. Week  E. Study mappings and dual angle
8. Week  Midterm
9. Week  E. Study mappings and dual angle
10. Week  Exterior product on D-module
11. Week  Mixed product on D-module
12. Week  The concept of dual basis vectors
13. Week  Dual isometries on D-module
14. Week  Taylor series of dual valuable functions and dual
15. Week  Taylor series of dual valuable functions and dual
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
13
3
39
 Searching in Internet and Library
0
 Designing and Applying Materials
0
 Preparing Reports
12
4
48
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
18
18
 Final and Studying for Final
2
20
40
 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
1Have fund of knowledge in the content of Primary Mathematics Teaching, to develop hypothetical and implemental knowledge acquired on expert-level and producing new information by connecting it with knowledge of other fields.X
2Produce and implement solutions to the problems those require expertise in Primary Mathematics Teaching by using quantitive and qualitative scientific research methods, to be able to work independently and take responsibility.X
3Develop new approaches, design methods and teamwork for the unpredictable complicated situations.X
4Evaluate the information about Primary Mathematics Teaching critically, leading and guiding learning, and gaining lifelong learning capability.X
5Share and discuss the information and findings of Primary Mathematics Teaching in written or orally in both national and international meetings, evaluating current issues by considering the country facts, developing strategy, policy and implementation programs about related topics and evaluating the results in respect to quality.X
6Discuss interaction between disciplines about Primary Mathematics Teaching.
7Follows national and international studies related to mathematics teachers and perform comparative studies.X
8Design research by choosing best teaching strategies,methodology and techniques, learming materials and most effective evaluation methods and strategies with the consideration of primary students? individual and developmental differences and programs contentand program development principles.
9Do scientific research using the knowledge and skills on basic research methods, report the scientific researches done and present the scientific researches reported.X
10Possess scientific and professional ethic values and awareness.X