GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
THE GEOMETRY OF STRAIGHT LINES/4440021
Course Title: THE GEOMETRY OF STRAIGHT LINES
Credits 3 ECTS 7.5
Semester 1 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Hasan Hüseyin UĞURLU
 -- WEB SITE(S) OF LECTURER(S)
  w3.gazi.edu.tr/~hugurlu
 -- EMAIL(S) OF LECTURER(S)
  hugurlu@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
They can understand dual geometrical concepts, quaternions and rotation operators.
They can give geometrical interpretations of these
 -- 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
  -
 --COURSE CONTENT
1. Week  Dual numbers and the ring of dual numbers
2. Week  Dual vectors and Dual Space
3. Week  Dual unit sphere and E.Study’s mapping
4. Week  Dual inner product and Dual angle
5. Week  Dual Spherical Curves and Ruled Surfaces
6. Week  Dual cross product and Dual mixed product
7. Week  Exam
8. Week  Dual Orthogonal Matrices
9. Week  The introduction to Quaternions
10. Week  Unit quaternions
11. Week  Vector quaternions and Geometrical Interpretations
12. Week  Complex number operator, rotation operator
13. Week  Quaternion operator and applications
14. Week  Screw operator and Geometrical Applications.
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  An Tzu Yang Application of quaternion algebra and dual numbers to the analysis of spatial mechanism, Ph. D. Thesis, Columbia University (1963 ).
 -- 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  
60
 Contribution of Final Examination to Overall Grade  
40
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
0
 Searching in Internet and Library
0
 Designing and Applying Materials
0
 Preparing Reports
14
4
56
 Preparing Presentation
14
3
42
 Presentation
14
2
28
 Mid-Term and Studying for Mid-Term
0
 Final and Studying for Final
0
 Other
0
 TOTAL WORKLOAD: 
182
 TOTAL WORKLOAD / 25: 
7.28
 ECTS: 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To be able to have fund of knowledge in the content of Mathematics Teaching, to develop hypothetical and implemental knowledge acquired on expert-level and producing new information by connecting it with knowledge of other fieldsX
2To be able to produce and implement solutions to the problems those require expertise in Mathematics Teaching by using quantitive and qualitative scientific research methods, to be able to work independently and take responsibilityX
3To be able to develop new approaches, design methods and teamwork for the unpredictable complicated situationsX
4To be able to evaluate the information about Mathematics Teaching critically, leading and guiding learning, and gaining lifelong learning capabilityX
5To be able to share and discuss the information and findings of 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
6Knows the basic theories, their main tenets and their different uses in education and mathematics education, and makes cross comparisons.X
7Knows the structure of national 1-8 mathematics curricula and their theoretical underpinnings, makes cross comparisons with international well-known curricula and conceptualize different levels of curriculum development process.X
8Uses the knowledge, experience and problem solving skills, which was gained in mathematics education field, in interdisciplinary studies through the guidance of knowledge gained from his/her own area and from other disciplinesX
9To be able to prepare teaching materials and search effectiveness of it.X
10To be able to become information and conscious about social responsibility and ethical values in the field.X