PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 561	DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES II	3 + 0	1st Semester	7,5

COURSE DESCRIPTION

Course Level	Master's 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.

COURSE LEARNING OUTCOMES

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

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08
LO 001	4	3	4	4				5
LO 002	5	4	5	4				4
LO 003	4		4	5				3
LO 004	4		5	4				4
Sub Total	17	7	18	17				16
Contribution	4	2	5	4	0	0	0	4

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
Final examination	1	35	35
Midterm	1	15	15
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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