TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	3
SEMESTER	Fifth Term (Fall)
NUMBER OF ECTS CREDITS ALLOCATED	5
NAME OF LECTURER(S)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Develop abstraction and fast thinking skills 2) Demonstrate inverse examples in some algebraic structures easily. 3) Ask himself/herself mathematical questions.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	No
COURSE DEFINITION	Binary operations, definition of group and basic properties, subgroups, permutation groups, cyclic groups, symmetry group of uniform n-gene, cyclic permutations, odd and even permutations, homomorphisms, Kosets and Lagrange's theorem, isomorphism theorems, effect of a group on a set, rings, subrings and ideals, prime and maximal ideals, ring homomorphisms.
COURSE CONTENTS	WEEK TOPICS 1st Week Binary Trading 2nd Week Prime remainder classes and congruence in integers 3rd Week Groups; definition and characteristics 4th Week Subgroups 5th Week Group generator, Cyclic subgroups 6th Week Cyclic Groups 7th Week Remaining classes, Normal subgroups 8th Week MIDTERM EXAM 9th Week Normal subgroups, Section Groups 10th Week Group homomorphisms 11th Week Permutation groups 12th Week Ring; definition and properties, Body; definition and properties 13th Week Bottom Rings 14th Week Ideals
RECOMENDED OR REQUIRED READING	Dursun Taşcı, Soyut Cebir, Alp Yayınevi,Ankara F. Çallıalp, ?Örneklerle Soyut Cebir?, Birsen Yayınevi, 2009.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Problem Solving
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Total(%) 40 Contribution of In-term Studies to Overall Grade(%) 40 Contribution of Final Examination to Overall Grade(%) 60 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 1,5 1,5 Preparation for Quiz Individual or group work 14 3 42 Preparation for Final exam 1 35 35 Course hours 14 3 42 Preparation for Midterm exam 1 25 25 Laboratory (including preparation) Final exam 1 1,5 1,5 Homework Total Workload 147 Total Workload / 30 4,9 ECTS Credits of the Course 5
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No