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
COURSE DEFINITION
Cartesian product and relation, Binary operation, Divisibility of integers, Lcm, Gcd, Euclid's Algorithm, Congruences, Groups, Subgroups, Normal subgroups, Symmetric Groups, Groups homomorphisms, Groups isomorphism, Cyclic Groups, Iternal direct sum, External direct sum, Rings, Subring, Ideals, Rings homomorphisms.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Cartesian product and relation, Binary operations
2nd Week
Divisibility of integers, Lcm, Gcd, Euclid's Algorithm
3rd Week
Congruences
4th Week
Groups
5th Week
Subgroups
6th Week
Normal subgroups
7th Week
Symmetric Groups
8th Week
Mid-Term Exam
9th Week
Groups homomorphisms, Groups homomorphisms
10th Week
Cyclic Groups
11th Week
Iternal direct sum, External direct sum
12th Week
Rings
13th Week
Subring, Ideals
14th Week
Rings homomorphisms
RECOMENDED OR REQUIRED READING
Taşcı Dursun, Soyut Cebir, Ankara (2010) Herstein I.N, (1975), Topics In Algebra, John Wiley nad Sons
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture,Questions/Answers
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
Preparation for Quiz
Individual or group work
12
5
60
Preparation for Final exam
1
35
35
Course hours
14
3
42
Preparation for Midterm exam
Laboratory (including preparation)
Final exam
1
1,5
1,5
Homework
1
15
15
Total Workload
153,5
Total Workload / 30
5,11
ECTS Credits of the Course
5
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
