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FIRST CYCLE - BACHELOR'S DEGREE
FACULTY OF SCIENCE
MATHEMATICS DEPARTMENT
156 MATHEMATICS (Evening Classes)
Course Information
Course Learning Outcomes
Course's Contribution To Program
ECTS Workload
Course Details
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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
PO 01
PO 02
PO 03
PO 04
PO 05
PO 06
PO 07
PO 08
PO 09
PO 10
LO 001
5
LO 002
4
LO 003
3
4
LO 004
4
3
Sub Total
7
16
Contribution
0
2
0
0
0
4
0
0
0
0
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
All Years
2023-2024 Spring
2022-2023 Spring
2021-2022 Spring
2020-2021 Spring
2019-2020 Spring
2018-2019 Spring
2017-2018 Spring
2016-2017 Spring
2015-2016 Spring
2014-2015 Spring
2013-2014 Spring
2012-2013 Spring
2012-2013 Fall
2011-2012 Summer
2011-2012 Spring
2010-2011 Spring
2009-2010 Summer
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2004-2005 Spring
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2003-2004 Spring
2002-2003 Summer
2002-2003 Spring
2001-2002 Spring
2000-2001 Spring
1999-2000 Spring
1998-1999 Spring
1997-1998 Spring
1996-1997 Spring
1995-1996 Spring
Course Term
No
Instructors
Details
2023-2024 Spring
1
CANAN CELEP YÜCEL
Details
2022-2023 Spring
1
SERPİL HALICI
Details
2021-2022 Spring
1
SERPİL HALICI
Details
2020-2021 Spring
1
ŞAHİN CERAN
Details
2019-2020 Spring
1
SERPİL HALICI
Details
2019-2020 Spring
2
ŞAHİN CERAN
Details
2018-2019 Spring
1
ŞAHİN CERAN
Details
2017-2018 Spring
1
MUSTAFA AŞCI
Details
2016-2017 Spring
1
MUSTAFA AŞCI
Details
2015-2016 Spring
2
CANAN CELEP YÜCEL
Details
2014-2015 Spring
2
CANAN CELEP YÜCEL
Details
2013-2014 Spring
2
MUSTAFA AŞCI
Details
2012-2013 Spring
2
MUSTAFA AŞCI
Details
2011-2012 Summer
1
ŞAHİN CERAN
Details
2011-2012 Spring
2
ŞAHİN CERAN
Details
2010-2011 Spring
2
ŞAHİN CERAN
Details
2009-2010 Summer
1
ŞAHİN CERAN
Details
2009-2010 Spring
2
ŞAHİN CERAN
Details
2008-2009 Summer
1
İSMET AYHAN
Details
2008-2009 Spring
1
İBRAHİM ÇELİK
Details
2007-2008 Spring
1
İBRAHİM ÇELİK
Details
2006-2007 Spring
1
İBRAHİM ÇELİK
Details
2005-2006 Spring
1
MEHMET TEKKOYUN
Details
2004-2005 Spring
1
HASAN ÇAKAN
Details
2003-2004 Spring
1
HASAN ÇAKAN
Details
2002-2003 Spring
1
HASAN ÇAKAN
Details
2001-2002 Spring
1
İBRAHİM ÇELİK
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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
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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
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Home Page
About University
Name And Address
Acedemic Authorities
General Discription
Academic Calendar
General Admission Requirements
Recognition of Prior Learning
General Registration Procedures
ECTS Credit Allocation
Academic Guidance
Information For Students
Cost Of Living
Accommodation
Meals
Medical Facilities
Facilities for Special Needs Students
Insurance
Financial Support for Students
Student Affairs
Learning Facilities
International Programs
Language Courses
Internships
Sports Facilities and Leisure Activities
Student Associations
Practical Information for Mobile Students
Degree Programmes