GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ALGEBRAIC TOPOLOGY/MAT- 429
Course Title: ALGEBRAIC TOPOLOGY
Credits 3 ECTS 5
Semester 7 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof.Cemil YILDIZ, Prof.A.Duran TÜRKOĞLU, Assoc.Prof. Çetin VURAL,Assoc.Prof. Hakan EFE
 -- WEB SITE(S) OF LECTURER(S)
  websitem.gazi.edu.tr/site/cyildiz, websitem.gazi.edu.tr/site/dturkoglu, websitem.gazi.edu.tr/site/cvural, websitem.gazi.edu.tr/site/hakanefe
 -- EMAIL(S) OF LECTURER(S)
  cyildiz@gazi.edu.tr, dturkoglu@gazi.edu.tr, cvural@gazi.edu.tr, hakanefe@gazi.edu.tr cyildiz@gazi.edu.tr, dturkoglu@gazi.edu.tr, cvural@gazi.edu.tr, hakanefe@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
To have the ability of understanding and solving the problem in real life
They learn to associate with social life
To understand the importance of homotopy
To understand the importance of fundamental group
To understand the importance of homotopy group
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  Bu dersin önkoşulu yada eş koşulu bulunmamaktadır.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  Introduction to General Topology I and Introduction to General Topology II
 --COURSE CONTENT
1. Week  Fundamental properties of algebraic topology
2. Week  Category
3. Week  Functors
4. Week  Paths
5. Week  Connectedness
6. Week  Homotopy
7. Week  Midterm Exam
8. Week  Homotopy of paths
9. Week  Homotopy of functions
10. Week  Retraction
11. Week  Fundamental group
12. Week  Relations between fundamental group and spaces
13. Week  Homotopy Groups
14. Week  Homotopy Groups
15. Week  Final exam
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  B.K. Lahiri, A First Course in Algebraic Topology, Alpha Science Int. Ltd. (2000).
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Anlatım, Soru-Yanıt, Gösterme, Uygulama - Alıştırma
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
2
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
0
0
0
 TOTAL WORKLOAD: 
121
 TOTAL WORKLOAD / 25: 
4.84
 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