GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
TENSOR GEOMETRY 2/5421305
Course Title: TENSOR GEOMETRY 2
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
Manifolds and curvatures on manidolds are learnt
Knows the properties of connection and connections on manifold
Tensors and different curvature are learnt

 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Topology vector spaces
2. Week  Differentiability
3. Week  Manifolds
4. Week  Manifolds
5. Week  Torsion and symmetri
6. Week  The torsion of a connection
7. Week  Metric tensor and connections
8. Week  Levi-Civita connection
9. Week  Geodesics
10. Week  Geodesics
11. Week  Curvatures
12. Week  Sectional curvature
13. Week  Ricci and Einstein Tensors
14. Week  Weyl Tensor
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
30
 Assignment
1
10
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- 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
2
6
 Midterm Exam and Preperation for Midterm Exam
1
16
16
 Final Exam and Preperation for Final Exam
1
25
25
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
187
 TOTAL WORKLOAD / 25: 
7.48
 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)