GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
KINEMATICS I/MAT- 421
Course Title: KINEMATICS I
Credits 3 ECTS 5
Semester 7 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof.Dr.Mustafa ÇALIŞKAN, Prof. Dr. Aysel VANLI
 -- WEB SITE(S) OF LECTURER(S)
   websitem.gazi.edu.tr/site/mustafacaliskan-websitem.gazi.edu.tr/site/avanli websitem.gazi.edu.tr/site/mustafacaliskan, websitem.gazi.edu.tr/site/avanli
 -- EMAIL(S) OF LECTURER(S)
   mustafacaliskan@gazi.edu.tr, avanli@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Defines the basic concepts of the dual numbers








 -- 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  Midterm Exam
9. Week  Real quaternion algebra, matrix representation of real quaternions
10. Week  Symplectic geometry
11. Week  Dual quaternion
12. Week  Line quaternion
13. Week  Quaternion operators, rotation and translation operators
14. Week  Screw operators and screw motions
15. Week  Screw operators and screw motions
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  Hacısalihoğlu, H. H. Hareket geometrisi ve Kuaternionlar teorisi, Gazi Universitesi, Fen-Edebiyat Fakultesi, Matematik Bölümü, 1983. Ward, J. P. Quaterniions 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 Algebric design of Physics, Kluwer Academic Publisher, 1994.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  None
 -- 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
0
 Reading
7
3
21
 Searching in Internet and Library
7
3
21
 Designing and Applying Materials
0
0
 Preparing Reports
0
0
 Preparing Presentation
0
0
 Presentation
0
0
 Mid-Term and Studying for Mid-Term
1
10
10
 Final and Studying for Final
1
15
15
 Other
5
2
10
 TOTAL WORKLOAD: 
119
 TOTAL WORKLOAD / 25: 
4.76
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing.X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial.X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods.X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information.X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector.X
9To gain substructure to be able to study at graduate level.X
10To enable the student to gain the ability of relating mathematics with the other sciences.X