PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
IMO 3007	ALGEBRA	2 + 0	5th Semester	4

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	To provide understanding the basic concepts of algebra of teacher candidates, binary operations, group, cosets, ring, ideal, field, homomorphism, isomorphism, automorphism and the development of the operational and conceptual learning skills for these concepts
Course Content	Binary operations, definition of group and basic properties, subgroups, permutation groups, cyclic groups, uniform symmetry group of n-gon, rotational permutations, single and double permutations, homomorphisms, Kosets and Lagrange's theorem, isomorphism theorems, the effect of a group on a set, rings, lower ring and ideals, prime and maximal ideals, ring homomorphisms, arithmetic in rings, polynomial rings, objects; Burnside theorem and its applications, p-groups and related theorems, A_n simplicity for n> 4.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Knows the definition of the concept named binary operation and makes applications about its properties.
2	Know the concepts such as group and subgroup, normal subgroup, make related applications and prove the theorem
3	Knows concepts such as cyclic group, permutation group, coset, makes their applications and prove the theorem
4	Know the concepts such as homomorphism, isomorphism and automorphism defined on the groups, make their applications and prove the theorem.
5	Know concepts such as ring, sub-ring, ideal, makes their applications and prove the theorem related to these concepts
6	Know the concepts such as homomorphism, isomorphism and auto automorphism on rings, make their applications and prove theorem related to these concepts

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13	PO 14
LO 001	3	4	1	1	1	4	2	5	5	5	4	5	5	5
LO 002	3	4	1	1	1	4	2	5	5	5	4	5	5	5
LO 003	3	4	1	1	1	4	2	5	5	5	4	5	5	5
LO 004	3	4	1	1	1	4	2	5	5	5	4	5	5	5
LO 005	3	4	1	1	1	4	2	5	5	5	4	5	5	5
LO 006	3	4	1	1	1	4	2	5	5	5	4	5	5	5
Sub Total	18	24	6	6	6	24	12	30	30	30	24	30	30	30
Contribution	3	4	1	1	1	4	2	5	5	5	4	5	5	5

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	2	14	28
Hours for off-the-classroom study (Pre-study, practice)	14	3	42
Assignments	1	4	4
Mid-terms	1	12	12
Final examination	1	18	18
Total Work Load ECTS Credit of the Course			104 4

COURSE DETAILS

Select Year

	Course Term	No	Instructors
Details	2023-2024 Fall	1	İSMET AYHAN
Details	2023-2024 Fall	2	İSMET AYHAN

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
IMO 3007	ALGEBRA	2 + 0	1	Turkish	2023-2024 Fall

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. İSMET AYHAN	iayhan@pau.edu.tr		EGT A0233-01	%

Goals		To provide understanding the basic concepts of algebra of teacher candidates, binary operations, group, cosets, ring, ideal, field, homomorphism, isomorphism, automorphism and the development of the operational and conceptual learning skills for these concepts
Content		Binary operations, definition of group and basic properties, subgroups, permutation groups, cyclic groups, uniform symmetry group of n-gon, rotational permutations, single and double permutations, homomorphisms, Kosets and Lagrange's theorem, isomorphism theorems, the effect of a group on a set, rings, lower ring and ideals, prime and maximal ideals, ring homomorphisms, arithmetic in rings, polynomial rings, objects; Burnside theorem and its applications, p-groups and related theorems, A_n simplicity for n> 4.

Topics

Weeks	Topics
1	Binary operation and its properties
2	definition of group and its applications
3	definition of subgroup and its applications
4	Cyclic groups
5	Permutation groups
6	cosets
7	Normal sungroups
8	Factoor groups
9	Midterm exam
10	Group Homomorphism
11	Group isomorphism and group otomorphism
12	Rings and the examples of ring
13	Subrings
14	ideal

Materials

Materials are not specified.

Resources

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	60	Final Exam
Midterm Exam	40	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student