GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
RINGS AND POLYNOMIALS/1440050
Course Title: RINGS AND POLYNOMIALS
Credits 3 ECTS 7.5
Semester 1 Compulsory/Elective Elective
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
determining the definition and properties of the ring.
subring determines the definitions and properties
identify and determine the characteristics of the ideal
fields to identify and determine the characteristics
Integral Domains fraction objects to build of
Ring homomorphism defines and displays
Ring of polynomials over the ring of algebraic properties of a unit identification and classification
Euclidean defines and determines the properties
Distinction in determining the unique factorization
refers to the and implements isomorphisms
 -- 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  Definiton and elementary properties of rings
2. Week  Subrings, ideal and fields
3. Week  Integral domains, divisions rings ,ring isomorphisms
4. Week  Integral domains, divisions rings ,ring isomorphisms
5. Week  Euclidean domains
6. Week  Principal ideal domains
7. Week  Unique factorizations in integral domains
8. Week  exam
9. Week  Polynomail rings
10. Week  Polynomail rings
11. Week  Algebraic structure of polynomial ring
12. Week  Algebraic structure of polynomial ring
13. Week  Algebraic structure of polynomial ring
14. Week  Completeness fractions of a body of
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)
  NO
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
1
4
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
2
6
 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
1
14
 Reading
14
1
14
 Searching in Internet and Library
14
1
14
 Designing and Applying Materials
14
1
14
 Preparing Reports
14
1
14
 Preparing Presentation
14
1
14
 Presentation
14
1
14
 Mid-Term and Studying for Mid-Term
14
1
14
 Final and Studying for Final
14
1
14
 Other
14
2
28
 TOTAL WORKLOAD: 
196
 TOTAL WORKLOAD / 25: 
7.84
 ECTS: 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To be able to have fund of knowledge in the content of Mathematics Teaching, to develop hypothetical and implemental knowledge acquired on expert-level and producing new information by connecting it with knowledge of other fieldsX
2To be able to produce and implement solutions to the problems those require expertise in Mathematics Teaching by using quantitive and qualitative scientific research methods, to be able to work independently and take responsibilityX
3To be able to develop new approaches, design methods and teamwork for the unpredictable complicated situationsX
4To be able to evaluate the information about Mathematics Teaching critically, leading and guiding learning, and gaining lifelong learning capabilityX
5To be able to share and discuss the information and findings of Mathematics Teaching in written or orally in both national and international meetings, evaluating current issues by considering the country facts, developing strategy, policy and implementation programs about related topics and evaluating the results in respect to quality.X
6Knows the basic theories, their main tenets and their different uses in education and mathematics education, and makes cross comparisons.X
7Knows the structure of national 1-8 mathematics curricula and their theoretical underpinnings, makes cross comparisons with international well-known curricula and conceptualize different levels of curriculum development process.X
8Uses the knowledge, experience and problem solving skills, which was gained in mathematics education field, in interdisciplinary studies through the guidance of knowledge gained from his/her own area and from other disciplinesX
9To be able to prepare teaching materials and search effectiveness of it.X
10To be able to become information and conscious about social responsibility and ethical values in the field.X