GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
INTRODUCTION TO ALGEBRA II/MAT304A
Course Title: INTRODUCTION TO ALGEBRA II
Credits 3 ECTS 7
Semester 6 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Asst. Associate Professor, Dr. Selami ERCAN
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/ercans
 -- EMAIL(S) OF LECTURER(S)
  ercans@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Defining the algebraic structure of the public,gives the example of the ring
The show ring is the ring of a subset of
A function to show the public that the homomorphism between the rings
Set Ideals and quotient rings
Isomorphism theorems can be expressed
Fractions of a completeness determination intrgral domain
Determining the properties of the ring on the ring of polynomials to describe
Determines the properties of polynomials defined over a field of algebraic and polynomial classify.
Polynomials over the polynomial ring indirğenmeliğini, GCD of two polynomials and the IPPC determines.
Unique Factorization Domains gives examples of regions.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  MATH105A,MATH106A
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Definition and examples of rings
2. Week  Subrings
3. Week  Homomorphisms, some non-commutative ring samples
4. Week  Ideals
5. Week  Quotient Rings
6. Week  Isomorphism Theorems
7. Week  Fractions field of an Integral Domain
8. Week  Exam
9. Week  value homomorphism
10. Week  algebraic structure of polynomials on an fields
11. Week  Irreducibility of polynomials,Eiseneste by the irreducibility
12. Week  In polynomial greatest common divisor and least common multiple determination
13. Week  Unique Factorization for Integers Revisited
14. Week  Euclidean Rings,The Ring of Gaussian Integers .
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  Lecture Notes, Notes,Cebir ,A. Osman Asar,A. ARIKAN, A. ARIKAN,A First Course in Abstract Algebra by J. B. Fraleigh,
 -- 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
30
 Assignment
1
2
 Exercises
1
2
 Projects
1
2
 Practice
1
2
 Quiz
1
2
 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
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
14
3
42
 Searching in Internet and Library
0
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
14
1
14
 Presentation
14
2
28
 Mid-Term and Studying for Mid-Term
14
1
14
 Final and Studying for Final
14
1
14
 Other
14
1
14
 TOTAL WORKLOAD: 
182
 TOTAL WORKLOAD / 25: 
7.28
 ECTS: 
7
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquisition of scientific thinking skillsX
2Making research and investigation independentlyX
3Acquisition of carefully observing and analytically thinking skillsX
4Acquisition of learning and teaching mathematics problemsX
5Comprehending, applying and explaining the importance of mathematical conceptsX
6Developing the thinking, producing, argumenting and probing abilitiesX
7Having the algorithm and sotftware writing abilities for solving computer supported problemsX
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technologyX
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.X