GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL GEOMETRY II/5201305
Course Title: DIFFERENTIAL GEOMETRY II
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
To learn the basic concepts of submanifolds.
Knows Gauss, Codazzi and Ricci equations.
Learns minimal surfaces and surfaces with constant mean curvature.
.
 -- MODE OF DELIVERY
  The mode of delivery of this course is face to face.
 --WEEKLY SCHEDULE
1. Week  Submanifolds in Rk
2. Week  Submanifolds in Rk , abstract submanifolds
3. Week  Abstract submanifolds
4. Week  The local structure of submanifolds
5. Week  Induced connection, second fundamental form,
6. Week  Equations of Gauss. Codazzi and Ricci
7. Week   Equations of . Codazzi and Ricci
8. Week   Totally umbilical submanifolds
9. Week  Scalar curvature of submanifolds
10. Week  Flat normal connection
11. Week  Mnimal surfaces
12. Week  Surfaces with parallel mean curvature
13. Week  Surfaces with constant mean curvature
14. Week  Conformally flat submanifolds
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
20
 Assignment
4
15
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
2
15
 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
0
 Searching in Internet and Library
6
15
90
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
20
20
 Final Exam and Preperation for Final Exam
1
30
30
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
182
 TOTAL WORKLOAD / 25: 
7.28
 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
7
8X
9X
10
11
12X
 -- NAME OF LECTURER(S)
   (Prof. Aysel VANLI)
 -- WEB SITE(S) OF LECTURER(S)
   (www.websitem.gazi.edu.tr/avanli)
 -- EMAIL(S) OF LECTURER(S)
   (avanli@gazi.edu.tr)