GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
SEMI-RIEMANNIAN GEOMETRY I/5591305
Course Title: SEMI-RIEMANNIAN GEOMETRY I
Credits 3 ECTS 7.5
Course Semester 1 Type of The Course Elective
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
The difference metric and the geometric structures applies everyday life.
Different curvatures on manifolds are learnt .
Knows and applies tensors
Non-Euclid geometries are learnt.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Symmetric bilinear forms, scalar multiplications.
2. Week  Isometries.
3. Week  Levi-Civita koneksiyon.
4. Week  Parallel Shift, Geodesics.
5. Week  Exponential transformation.
6. Week  Curvature, Sectional curvature.
7. Week  Semi-Riemann surfaces.
8. Week  Type-changing and metric contraction.
9. Week  Frame fields
10. Week  Some Differential Operators.
11. Week  Ricci and scalar curvatures.
12. Week  Semi-Riemannian product manifolds
13. Week  Local isometries.
14. Week  Structure levels.
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
20
 Assignment
1
15
 Application
1
15
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
50
 Percentage of Final Exam to Total Score  
50
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
 Reading Tasks
10
4
40
 Searching in Internet and Library
10
5
50
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
4
2
8
 Presentation
3
1
3
 Midterm Exam and Preperation for Midterm Exam
1
17
17
 Final Exam and Preperation for Final Exam
1
25
25
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
185
 TOTAL WORKLOAD / 25: 
7.4
 Course Credit (ECTS): 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1X
2X
3X
4X
5X
6X
7X
8X
9X
10X
11X
12X
 -- NAME OF LECTURER(S)
   (Prof. Aysel VANLI)
 -- WEB SITE(S) OF LECTURER(S)
   (www.gazi.edu.tr/~avanli)
 -- EMAIL(S) OF LECTURER(S)
   (avanli@gazi.edu.tr , )