Homepage
Türkçe
Contact
Shortcuts
Getting Information
Academic Calendar
Dining Virtual Pos
e Learning System
Event Request Form
Faculty of Dentistry Appointment
Information Package
Lunch Menu
NOHU Login
NUBulut
Personnel e-mail
Phone Directory
Student e-mail
Survey
NİĞDE ÖMER HALİSDEMİR UNIVERSITY
Information Package Course Catalogue
Information on the Instutition
University Senate and Executive Board
Organization Chart
Akademic Calendar
General Information
General Admission Requirements
General Registration Prosedures
Rules and Regulations
Recognition of Prior Learning
Diploma Supplement
Arrangements for Academic Guidance
ECTS Credit Allocation
Name and Adress
Degree Programs
Short Cycle
First Cycle
Second Cycle
Third Cycle
Course Catalogue For Exchange Students
General Information for Student
Cost of Living
Accommodation Services
Dining Services
Medical Facilities
Insurance
Learning Facilities
Cultural and Social Facilities
Sports and Leisure Facilities
Student Associations
Intenational Programs
Language Policy and Courses
Internship
Financial Support for Students
Facilities for Special Needs Student
Student's Affair Office
Practical Information For Exchange Students
Life in Niğde
EDUCATION FACULTY / ELEMENTARY MATHEMATICS EDUCATION / IMZ3007 - ALGEBRA
GENERAL INFORMATION ABOUT THE COURSE
Course Code
Semester
Course Type
Course Level
Course Language
Course Title
Theoretical
Practical
ECTS
Turkish Name of the Course
Course Coordinator
E Mail
Assistant Staff of the Course
E Mail
Course Objective
The purpose of this course is to examine algebraic structures such as groups, rings, and fields, and the relationships between them.
Brief Content of the Course
Binary operations, definition of a group and basic properties, subgroups, permutation groups, cyclic groups, symmetry group of a regular n-gon, cyclic permutations, odd and even permutations, homomorphisms, cosets and Lagrange's theorem, isomorphism theorems, action of a group on a set, rings, subrings and ideals, prime and maximal ideals, ring homomorphisms, arithmetic on rings, polynomial rings, fields; Burnside's theorem and its applications, p-groups and related theorems, simplicity of A_n for n > 4.
Prerequisites
Course Objectives
Course Objectives
1
To provide students with the ability to explain groups and subgroups.
2
To provide students with the ability to state and prove theorems related to Lagrange and Isomorphism.
3
To provide information about rings, subrings, and fields. To provide students with the ability to solve problems related to rings and subrings.
Loading…
Course Category
Course Category
Percentage
Mathematics and Basic Sciences
Basic Vocational Courses
Expertise /Field Courses