GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ALGEBRA II/MAT2002
Course Title: ALGEBRA II
Credits 4 ECTS 5
Semester 4 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assist. Prof. Fatih YILMAZ
 -- WEB SITE(S) OF LECTURER(S)
  www.gazi.edu.tr
 -- EMAIL(S) OF LECTURER(S)
  fatihyilmaz@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Students will have developed an abstract approach to reasoning about number systems, their arithmetic structures and poperties.
Students will be familiar with the axioms of a ring, automorphisims and field together examples
Students should able to understand subrings, quotient rings, polynomial rings, and fraction field.
Students will have developed an appreciation of the homeomorphism and isomorphism theorems for rings.
Students will have learnt about quotient rings.
 -- 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  Quotient Groups
2. Week  Quotient Groups
3. Week  Cyclic Groups
4. Week  Cyclic Groups
5. Week  Isomorphism Theorems for Groups
6. Week  Inner Direct product
7. Week  Outer Direct Product
8. Week  Midterm exam
9. Week  Rings
10. Week  Rings
11. Week  Subrings
12. Week  Ideals
13. Week  Quotient Rings
14. Week  Homomorphism in Rings
15. Week  Isomorphism in Rings
16. Week  Final Examination
 -- RECOMMENDED OR REQUIRED READING
  1)D. Taşcı, Soyut Cebir, Ankara,2010.2) D.Bozkurt,R.Türkmen,B. Türen,Soyut Cebire Giriş,Konya,2006.3)H.I.Karakaş,Cebir Dersleri,Ankara,2010.
 -- 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
40
 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
14
2
28
 Reading
0
 Searching in Internet and Library
2
2
4
 Designing and Applying Materials
0
 Preparing Reports
2
2
4
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
6
3
18
 Final and Studying for Final
10
2
20
 Other
2
3
6
 TOTAL WORKLOAD: 
122
 TOTAL WORKLOAD / 25: 
4.88
 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 train individuals who are equipped with enough mathematicsX
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
10The skill to have professional and ethical responsibilityX