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THIRD CYCLE - DOCTORATE DEGREE
THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
MATHEMATICS DEPARTMENT
1441 Mathematics
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 593
REPRESENTATIONS OF GROUPS
3 + 0
2nd Semester
7,5
COURSE DESCRIPTION
Course Level
Doctorate Degree
Course Type
Elective
Course Objective
The aim of this course is to teach the group, subgroups , the structure of groups, representations of groups, FG- modules, algebra of groups, FG- homomorphisms, and Schur lemma To emphasize the algebraic and combinatorial importance in other sciences.
Course Content
The group, The subgroups , The structure of groups, Representations of groups, The FG- modules, The algebra of groups, The FG- homomorphisms, Maschke Theorem and Schur lemma
Prerequisites
No the prerequisite of lesson.
Corequisite
No the corequisite of lesson.
Mode of Delivery
Face to Face
COURSE LEARNING OUTCOMES
1
Knows the group, subgroups, the structure of groups
2
Learns the homomorphisms of groups.
3
Learns the representations of groups
4
Learns the FG- modules
5
Learns the algebra of groups
6
Knows the Schur lemma.
COURSE'S CONTRIBUTION TO PROGRAM
PO 01
PO 02
PO 03
PO 04
PO 05
PO 06
PO 07
PO 08
LO 001
LO 002
LO 003
LO 004
LO 005
LO 006
Sub Total
Contribution
0
0
0
0
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
3
42
Hours for off-the-classroom study (Pre-study, practice)
14
7
98
Assignments
1
5
5
Mid-terms
1
15
15
Final examination
1
35
35
Total Work Load
ECTS Credit of the Course
195
7,5
COURSE DETAILS
Select Year
All Years
2017-2018 Spring
2017-2018 Fall
2015-2016 Spring
Course Term
No
Instructors
Details
2017-2018 Spring
1
MURAT BEŞENK
Details
2017-2018 Fall
1
SERPİL HALICI
Details
2015-2016 Spring
1
SERPİL HALICI
Print
Course Details
Course Code
Course Title
L+P Hour
Course Code
Language Of Instruction
Course Semester
MAT 593
REPRESENTATIONS OF GROUPS
3 + 0
1
Turkish
2017-2018 Spring
Course Coordinator
E-Mail
Phone Number
Course Location
Attendance
Prof. Dr. MURAT BEŞENK
mbesenk@pau.edu.tr
FEN A0216
%70
Goals
The aim of this course is to teach the group, subgroups , the structure of groups, representations of groups, FG- modules, algebra of groups, FG- homomorphisms, and Schur lemma To emphasize the algebraic and combinatorial importance in other sciences.
Content
The group, The subgroups , The structure of groups, Representations of groups, The FG- modules, The algebra of groups, The FG- homomorphisms, Maschke Theorem and Schur lemma
Topics
Weeks
Topics
1
The group and the subgroup
2
The group and homomorphisms
3
Vector spaces
4
Vector spaces and their applications
5
Linear transformations
6
Linear transformations and their applications
7
Representation of groups
8
Midterm
9
The FG-modules
10
The algebra of groups
11
The algebra of groups
12
The FG-homomorphism
13
Maschke theorem
14
Applications
Materials
Materials are not specified.
Resources
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