GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
GEOMETRY OF SUBMANIFOLDS II/MAT- 420
Course Title: GEOMETRY OF SUBMANIFOLDS II
Credits 3 ECTS 5
Semester 8 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Mustafa ÇALIŞKAN, Prof. Dr. Baki KARLIĞA, Prof. Dr. Aysel VANLI, Assist. Doç. Dr. Mustafa ÖZKAN
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/mustafacaliskan, http://websitem.gazi.edu.tr/site/karliaga, http://websitem.gazi.edu.tr/site/avanli, http://websitem.gazi.edu.tr/site/ozkanm
 -- EMAIL(S) OF LECTURER(S)
  mustafacaliskan@gazi.edu.tr, karliaga@gazi.edu.tr, avanli@gazi.edu.tr, ozkanm@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Learns different submanifolds.
 -- 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  Minimal Submanifolds
2. Week  Minimal Submanifolds
3. Week  Minimal Submanifolds
4. Week  Submanifolds in Euclidean space
5. Week  Submanifolds in Euclidean space
6. Week  Minimal submanifolds of a submanifold
7. Week  Minimal submanifolds of a submanifold
8. Week  Midterm Exam
9. Week  Examles of minimal submanifolds
10. Week  Submanifold with paralel mean curvature vector
11. Week  Submanifold with paralel mean curvature vector
12. Week  Compormally flat submanifolds
13. Week  Compormally flat submanifolds
14. Week  Umbilical submanifolds
15. Week  Umbilical submanifolds
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  1. Bang-Yen Chen, Geometry of Submanifolds, M. Dekker, 1973. 2. Bang-Yen Chen, Geometry of Submanifolds and ıts Applications, Science University of Tokyo, 1981
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lectures, Practical Sessions, Exercises, Presentation
 -- WORK PLACEMENT(S)
  None
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
1
10
 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
3
42
 Practising Hours of Course Per Week
0
0
0
 Reading
9
3
27
 Searching in Internet and Library
10
2
20
 Designing and Applying Materials
0
0
0
 Preparing Reports
0
0
0
 Preparing Presentation
0
0
0
 Presentation
0
0
0
 Mid-Term and Studying for Mid-Term
1
12
12
 Final and Studying for Final
1
20
20
 Other
7
1
7
 TOTAL WORKLOAD: 
128
 TOTAL WORKLOAD / 25: 
5.12
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing.X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial.X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods.X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information.X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector.
9To gain substructure to be able to study at graduate level.X
10To enable the student to gain the ability of relating mathematics with the other sciences.X