PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 104	ABSTRACT MATHEMATICS - II	2 + 2	2nd Semester	3,5

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The aim of this course is to teach fundamental concepts of the abstract mathematics and algebraic structures.
Course Content	Operations, Groups, Rings, Field and Ideals.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Learns the Binary operations and its propertis.
2	Learns the structures of the Groups and its theorems.
3	Learns the concepts of the Rings, subrings and ring homomorphisms.
4	Learns the structures of the fields, ideals, prime and maximal ideals.

COURSE'S CONTRIBUTION TO PROGRAM

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	4	56
Mid-terms	1	20	20
Final examination	1	15	15
Total Work Load ECTS Credit of the Course			91 3,5

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 104	ABSTRACT MATHEMATICS - II	2 + 2	1	Turkish	2023-2024 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. CANAN CELEP YÜCEL	ccyucel@pau.edu.tr		FEN A0315	%60

Goals		The aim of this course is to teach fundamental concepts of the abstract mathematics and algebraic structures.
Content		Operations, Groups, Rings, Field and Ideals.

Topics

Weeks	Topics
1	Operations
2	Properties of Operation
3	Group
4	Subgroups
5	Cyclic group
6	Permutations Group
7	Normal subgroups
8	Quotient Groups
9	Group homomorphisms
10	Midterm Exam
11	Ring and Subring
12	Field and Ideals
13	Rings Homomorphism, Kernel, Isomorphism
14	Polynomial Rings and Polynomial on a Field

Materials

Materials are not specified.

Resources

Resources	Resources Language
Dursun Taşcı, Soyut Cebir	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

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

Prospective Student