GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
Algebra/İMÖ307
Course Title: Algebra
Credits 2 ECTS 2
Course Semester 5 Type of The Course Compulsory
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
Define binary operations, Explain the consept of group and its properties, Interpret groups with their tables, Explain the subgroup concept, solve the examples.
Explain the cyclic groups and show if the given group is cyclic or not, Find the order of an element and solve the problems, Explain the permutation groups and alternating groups, do the related applications.
Define the group homomorfizms, izomorfizms, explain the related theorems, Explain the consept of normal subgroup, division group, make the applications.
Interpret the consepts of ring,ideal and field, Show if an algebraic structure is a ring or not.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face.
 --WEEKLY SCHEDULE
1. Week  Binary operations, definiton of a group and basic properties
2. Week  Subgroups, permutation groups
3. Week  Cyclic groups, symmetry group of regular n-gon
4. Week  Cyclic permutations, odd and even permutations
5. Week  Homomorphisms
6. Week  Cosets and ve Lagrange Theorem
7. Week  Midterm Exam
8. Week  Sub-Rings
9. Week  Isomorphism, rings
10. Week  Ideals, prime and maximal ideals
11. Week  Ring homomorphisms, aritmetics in rings
12. Week  Polinomial rings, fields
13. Week  Burnside Theorem and applications, p- group
14. Week  Preparation for Final Exam
15. Week  Final Exam
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
2
28
 Weekly Tutorial Hours
0
 Reading Tasks
8
2
16
 Searching in Internet and Library
0
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
3
3
 Final Exam and Preperation for Final Exam
1
3
3
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
50
 TOTAL WORKLOAD / 25: 
2
 Course Credit (ECTS): 
2
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquire of scientific thinking skills.X
2Make research and investigation independently.X
3Acquire of carefully observing and analytically thinking skills.X
4Acquire of learning and teaching mathematics problems.X
5Comprehend, apply and explain the importance of mathematical concepts.X
6Develop the thinking, producing, argumenting and probing abilities.X
7Have the algorithm and sotftware writing abilities for solving computer supported problems.
8Develop the ability of reaching information, evaluating and presenting information.X
9Improve yourself parallel to the developing technology.
10They apply the most available teaching strategies, methods, and techniques considering the development characteristics of the middle school students, their individual differences, the approach and content of the elementary mathematics teaching program, and use the most effective measurement and evaluation techniques.
11Relate the mathematical knowledge to the daily life and the other disciplines, and solve the problems that they meet through reasoning, esthetically, clearly and practically.
12Prove a mathematical knowledge after the logical questioning process instead of accepting it directly.X
13Use the mathematical language and terminology correctly and effectively.X
14Have knowledge about the general structure of Turkish National Education System, the process of middle schools, and their duty at the administration and teaching mathematics.
15Share their suggestions about the solution of the problems on the social and mathematical education with the concerned people.
16Use the experience, knowledge and skills that they have had in the environment of school under the attributes that their profession requires.X
 -- NAME OF LECTURER(S)
   (Related Instructor)
 -- WEB SITE(S) OF LECTURER(S)
   (.)
 -- EMAIL(S) OF LECTURER(S)
   (.)