COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 561DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES II3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective Teaching of general geometric properties of special structures such as Gauss, Hilbert, Hadamard.
Course Content Isometries and Conformal Mappings, Gauss Theorem, Geodesics, Exponential Mappings, Geodesics Polar Coordinates, Rigidity of Sphere, Full Surfaces, Jakobi Fields, Ambient Spaces, Hadamard Theory, Global Theorems of Curves and Fary Milnor Theorem, Gauss Curveture of Surfaces, Jakobi Theorem, Hilbert Theorem, Abstract Surfaces and Applications.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Identifies the Isometries and Conformal Mappings, Gauss Theorem, Geodesics, Exponential Mappings.
2Knows the Geodesics Polar Coordinates, Rigidity of Sphere, Full Surfaces, Jakobi Fields, Ambient Spaces.
3Realizes the Hadamard Theory, Global Theorems of Curves and Fary Milnor Theorem.
4Learns the Gauss Curveture of Surfaces, Jakobi Theorem, Hilbert Theorem, Abstract Surfaces and Applications.

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
Presentation / Seminar Preparation13339
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
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