GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
SPHERICAL GEOMETRY/MAT507A
Course Title: SPHERICAL GEOMETRY
Credits 3 ECTS 8
Semester 9 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
Students know the difference between the Euclidean and Spherical geometry and notice geodesics of spheres.
Students find the area of spherical triangles and notice trigonometric relationships on sphere.
Students express and prove the congruency theorems for spherical triangles.
Students express and apply Neper Rule, Girard Theorem and Euler Theorems.
 -- 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  Introduction to spherical geometry
2. Week  Geodesics on Sphere
3. Week  Area of a spherical triangle
4. Week  Spherical and polar triangles
5. Week  Area of spherical triangles
6. Week  Introduction to spherical trigonometry
7. Week  Midterm
8. Week  Spherical sine, cosine and sine-cosine rules
9. Week  Congruency theorems for spherical triangles
10. Week  Neper Rule
11. Week  Girard's Theorem
12. Week  Applications
13. Week  Euler Theorem
14. Week  Applications
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  John C. Polking, The geometry of the sphere, Rice University.
 -- 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
12
3
36
 Searching in Internet and Library
14
3
42
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
12
1
12
 Presentation
12
1
12
 Mid-Term and Studying for Mid-Term
0
 Final and Studying for Final
20
2
40
 Other
0
 TOTAL WORKLOAD: 
198
 TOTAL WORKLOAD / 25: 
7.92
 ECTS: 
8
 -- 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