GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
METRIC SPACES I/MAT- 223
Course Title: METRIC SPACES I
Credits 3 ECTS 5
Semester 3 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
   Turkish
 -- NAME OF LECTURER(S)
  Prof. A. Duran TURKOGLU, Prof. Cemil YILDIZ, Assoc.Prof.Cetin VURAL, Assoc.Prof. Hakan EFE
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/dturkoglu
 -- EMAIL(S) OF LECTURER(S)
   dturkoglu@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
To understand the metric spaces
To understand the normed spaces
To understand topological concepts in the metric spaces
 -- 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  Sets, functions, finite sets
2. Week   Countable sets, order relation, absolute value and some important inequalities
3. Week  Real number sequences, continuity, linear spaces
4. Week  Metric spaces
5. Week  Metric spaces
6. Week  Metric spaces
7. Week  Normed spaces
8. Week  Submetric spaces and subnormed spaces
9. Week   Midterm
10. Week  Opened and closed sets in metric spaces
11. Week  Opened and closed sets in submetric spaces, equivalent metrics
12. Week  Neighborhoods and accumulation points
13. Week  Convergence of sequence in metric spaces
14. Week  Continuity of functions in metric spaces
15. Week  Convergence and continuity in normed spaces
16. Week   Final
 -- RECOMMENDED OR REQUIRED READING
   “Metrik uzaylar ve topoloji” Seyit Ahmet KILIÇ, Musa ERDEM, Vipaş A.Ş.,BURSA,1999.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
   Lecture, Question & Answer, Demonstration, Drill-Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
0
 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
3
42
 Practising Hours of Course Per Week
0
 Reading
9
3
27
 Searching in Internet and Library
9
2
18
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
12
12
 Final and Studying for Final
1
18
18
 Other
0
 TOTAL WORKLOAD: 
117
 TOTAL WORKLOAD / 25: 
4.68
 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.X
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