GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ALGEBRA I/MAT2001
Course Title: ALGEBRA I
Credits 4 ECTS 5
Semester 3 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 on set theory, functions and integer numbers and their properties.
Students will be familiar with the axioms of a group together examples.
Students should able to understand subgroups, cyclic subgroups, normal subgroups, and quotient group
Students will have developed an appreciation of the homeomorphism theorem for groups.
Students will have developed an appreciation of the isomorphism theorem for groups.
Students are expected to have ability of interpretation about symmetric groups.
 -- 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  Cartesian Product and Relation
2. Week  Transformations and Binary operation
3. Week  Divisibility in Integers
4. Week  Greatest Common Divisor, Least Common Multiple
5. Week  Euclides Alghoritm
6. Week  Congruences
7. Week  Groups
8. Week  Midterm exam
9. Week  Subgroups
10. Week  Normal Subgroups
11. Week  Normal Subgroups
12. Week  Symmetric Groups
13. Week  Homomorphism in Groups
14. Week  Isomorphism in Groups
15. Week  Automorphism in Groups
16. Week  Final exam
 -- 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
2
12
 Final and Studying for Final
10
3
30
 Other
2
1
2
 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