GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
INTRODUCTION TO ALGEBRA I/MAT303A
Course Title: INTRODUCTION TO ALGEBRA I
Credits 3 ECTS 8
Semester 5 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
Binary operation defined on a set of relation and to show that a group of this cluster
To show that a subset of the group of a group.
properly defined on a set of genes determine the symmetry group,determine the symmetry group of proper n-genes.
Permutation is odd and, determine the trajectory.
Sort the properties of cyclic groups, to show that the homomorphism given function
Given for the group to write kosetlerini
To show that a normal subgroup and quotient group of a subgroup of writing
Isomorphism theorems to say.
The impact and consequences on the expression of a group and apply a cluster.
To show the simplicity of the group.
 -- 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  Binary operations, groups, and Elementary Properties
2. Week  Subgroups
3. Week  Permutation groups, smooth n-gene Symmetry Group
4. Week  Orbit, permutations, permutations of Single and Double
5. Week  Cyclic Groups, Homomorphisms
6. Week  Cosets and Lagrange's Theorem
7. Week  Normal Subgroups, Quotient Groups
8. Week  exam
9. Week   isomorphism theorem
10. Week  isomorphism theorems
11. Week  Effects of a Group A Cluster
12. Week  Burnside's Theorem and Applications
13. Week  p-groups and Sylow Theorems
14. Week  n> 4 An Simplicity
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
   Lecture Notes,Algebra ,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
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
20
1
20
 Final and Studying for Final
20
1
20
 Other
20
1
20
 TOTAL WORKLOAD: 
200
 TOTAL WORKLOAD / 25: 
8
 ECTS: 
8
 -- 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