GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
TRANSFORMATIONS AND GEOMETRIES/MAT401A
Course Title: TRANSFORMATIONS AND GEOMETRIES
Credits 3 ECTS 5
Semester 7 Compulsory/Elective Compulsory
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
Students learn geometric transformation, transformation group and invariants.
Students know rigid and opposite movements and they learn invariants.
Students build similarity transformations by using the radial transformations. They realize direct and opposite similarity transformations.
Students know affine transformation, affine group, affine invariants and affine geometry axioms.
 -- 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
  MAT109A, MAT110A, Mat201A, MAT202A, MAT203A, Mat204A
 --COURSE CONTENT
1. Week  Geometric transformations, invariants and transformation group
2. Week  Translations and invariants
3. Week  Rotations and invariants
4. Week  Rigid motions and group structure
5. Week  Applications of rigid motions
6. Week  Reflections, glide reflections and invariants
7. Week  Midterm
8. Week  Radial and similarity transformations, similarity group
9. Week  Direct similarity transformations
10. Week  Opponent similarity transformations
11. Week  Application of similarity transformation
12. Week  Affine transformations and affine group
13. Week  Affine invariants and applications
14. Week  Affine geometry axioms
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  Dönüşümler ve geometriler; H. Hilmi Hacısalihoğlu
 -- 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
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
0
 Searching in Internet and Library
12
1
12
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
20
1
20
 Final and Studying for Final
20
2
40
 Other
0
 TOTAL WORKLOAD: 
128
 TOTAL WORKLOAD / 25: 
5.12
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquisition of scientific thinking skillsX
2Making research and investigation independentlyX
3Acquisition of carefully observing and analytically thinking skillsX
4Acquisition of learning and teaching mathematics problemsX
5Comprehending, applying and explaining the importance of mathematical conceptsX
6Developing the thinking, producing, argumenting and probing abilitiesX
7Having the algorithm and sotftware writing abilities for solving computer supported problemsX
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technologyX
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.X