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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 560DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES I3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective Study of the geometric properties of space curves and various surfaces.
Course Content Parameterizing Curves, Regular Curves, Local Canonical Forms, Properties of Plane Curves, Regular Surfaces, Parameter Change at Surfaces, Differential Functions on Surfaces, First Fundamental Forms, Steerable Surfaces, Gauss Map of a Surface and Fundamental Properties, Gauss Map at Local Coordinates, Vector Fields on Surface, Connected Surfaces and Minimal Surfaces, Linear Maps on Surfaces and Quadratic Forms.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Knows the Parameterizing Curves, Regular Curves, Local Canonical Forms, Properties of Plane Curves.
2Identifies the Regular Surfaces, Parameter Change at Surfaces, Differential Functions on Surfaces.
3Learns the First Fundamental Forms, Steerable Surfaces, Gauss Map of a Surface and Fundamental Properties.
4Realizes the Gauss Map at Local Coordinates, Vector Fields on Surface, Connected Surfaces and Minimal Surfaces, Linear Maps on Surfaces and Quadratic Forms.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0014344   5
LO 0025355   4
LO 0035 45   5
LO 0044  5   5
Sub Total1861319   19
Contribution52350005

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 2023-2024 Spring1CANSEL AYCAN
Details 2022-2023 Spring1CANSEL AYCAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 560 DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES I 3 + 0 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. CANSEL AYCAN c_aycan@pau.edu.tr FEN B0318 %
Goals Study of the geometric properties of space curves and various surfaces.
Content Parameterizing Curves, Regular Curves, Local Canonical Forms, Properties of Plane Curves, Regular Surfaces, Parameter Change at Surfaces, Differential Functions on Surfaces, First Fundamental Forms, Steerable Surfaces, Gauss Map of a Surface and Fundamental Properties, Gauss Map at Local Coordinates, Vector Fields on Surface, Connected Surfaces and Minimal Surfaces, Linear Maps on Surfaces and Quadratic Forms.
Topics
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