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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 593REPRESENTATIONS OF GROUPS3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's 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
1Knows the group, subgroups, the structure of groups
2Learns the homomorphisms of groups.
3 Learns the representations of groups
4Learns the FG- modules
5Learns the algebra of groups
6Knows the Schur lemma.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 001        
LO 002        
LO 003        
LO 004        
LO 005        
LO 006        
Sub Total        
Contribution00000000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2017-2018 Spring1MURAT BEŞENK
Details 2017-2018 Fall1SERPİL HALICI
Details 2015-2016 Spring1SERPİL HALICI


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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
WeeksTopics
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 MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes