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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 603MÖBIUS TRANSFORMATIONS3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective To give information about Möbius transformations and their basic properties.
Course Content The relationship between Möbius transformations and circles, the basic properties of Möbius transformations in the extended complex plane, hyperbolic, elliptic, parabolic and loxodromic transformations, fundamental properties of reflection in a circle.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Knows Möbius transformations in extended complex plane.
2Learns transitivity and cross rate concepts.
3Knows reflection transformation.
4Learns hyperbolic transformations.
5Understands elliptic transformations.
6Learns parabolic transformations.
7Learns loxodromic transformations.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 5  4  
LO 002 4 5 4 5
LO 00354  4 4 
LO 0045 5 4 5 
LO 0055   45  
LO 0065 5  5 5
LO 007 5 5 5 5
Sub Total251315101223915
Contribution42212312

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