PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 374	DISCRETE GROUPS	3 + 0	6th Semester	6

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Elective
Course Objective	It is to establish a relation between the discrete groups and complex analysis and also to combine this relation with the hyperbolic geometric model.
Course Content	Riemann sphere and infinite boundary of upper half plane, fractional linear transformations group and transitivity, homeomorphism, topological groups, topological transformation groups, hyperbolic distance and area, special subgroups of discrete groups and their algebraic properties, basic regions.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Knows hyperbolic plane and Riemann sphere.
2	Defines fractional linear transformation.
3	Classifies fractional linear transformations.
4	Learns topological group and properties.
5	Calculates hyperbolic distance and area.
6	Learns discrete subgroups.
7	Knows information about basic regions.

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	3	42
Mid-terms	1	57	57
Final examination	1	57	57
Total Work Load ECTS Credit of the Course			156 6

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 374	DISCRETE GROUPS	3 + 0	1	Turkish	2023-2024 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. MURAT BEŞENK	mbesenk@pau.edu.tr		FEN A0313	%70

Goals		It is to establish a relation between the discrete groups and complex analysis and also to combine this relation with the hyperbolic geometric model.
Content		Riemann sphere and infinite boundary of upper half plane, fractional linear transformations group and transitivity, homeomorphism, topological groups, topological transformation groups, hyperbolic distance and area, special subgroups of discrete groups and their algebraic properties, basic regions.

Topics

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

Prospective Student