GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
KINEMATICS II/MAT- 422
Course Title: KINEMATICS II
Credits 3 ECTS 5
Semester 8 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Mustafa ÇALIŞKAN, Prof. Dr. Baki KARLIĞA, Prof. Dr. Aysel VANLI, Assist. Doç. Dr. Mustafa ÖZKAN
 -- WEB SITE(S) OF LECTURER(S)
   http://websitem.gazi.edu.tr/site/mustafacaliskan, http://websitem.gazi.edu.tr/site/karliaga, http://websitem.gazi.edu.tr/site/avanli, http://websitem.gazi.edu.tr/site/ozkanm
 -- EMAIL(S) OF LECTURER(S)
   mustafacaliskan@gazi.edu.tr, karliaga@gazi.edu.tr, avanli@gazi.edu.tr, ozkanm@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Learns Dual speed, dual acceleration, the axis of the sphere surfaces and dual unit the characteristics of the movement.
To learn Global movement in space is used to track the movement of the public
Expressed with the help of the dual unit sphere and the surface of the unit sphere of the dual gain the ability to recognize and analyze.






 -- 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  Linear ray complexity
2. Week  Linear line congruans
3. Week  Dual velocity and dual acceleration
4. Week  Axis surfaces
5. Week  Pol syrface of a line
6. Week  Elements of the pol ofdual point
7. Week  Canonic system
8. Week  Midterm Exam
9. Week  Motion of unit dua sphere
10. Week  Inteegral constnts of closed regression surface
11. Week  Dual angle
12. Week  Dual angle
13. Week  Holditch theorem
14. Week  Steiner theorem
15. Week  Some generalisations
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  1) Hacısalihoğlu, H.Hilmi. Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi Fen-Edebiyat Fakültesi, Matematik Bölümü.,1983. 2) Ward, J.P. Quaternions and Cayley Numbers, Kluwer Academic Publisher, 1997. 3) Karger, A., Novak, J., Space Kinematics and Lie Groups, Gordon and Breach Science Publisher, 1985. 4) 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, 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
0
 Reading
9
3
27
 Searching in Internet and Library
10
2
20
 Designing and Applying Materials
0
0
0
 Preparing Reports
0
0
0
 Preparing Presentation
0
0
0
 Presentation
0
0
0
 Mid-Term and Studying for Mid-Term
1
12
12
 Final and Studying for Final
1
20
20
 Other
7
1
7
 TOTAL WORKLOAD: 
128
 TOTAL WORKLOAD / 25: 
5.12
 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.
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