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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 576APPLIED DIFFERENTIAL GEOMETRY-I3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective Teaching of various curved structures and their computer modeling.
Course Content Curvatures in Euclid Space, Arclength parametrization, Frenet formulas, unit speed-nonunit speed Curvatures, Curvature and Torsion, plotting Curvatures in MAPLE, Surfaces, Linear Algebra on Surfaces, normal Curvature, plotting Surfaces in MAPLE, Curvatures, calculating Curvatures, Gaus Curvature, the properties of Curvature, calculating Curvatures with MAPLE, Curvatures on minimal Surfaces, harmonic functions, Constant Mean Curvature.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns the Curvatures in Euclid Space, Arclength parametrization, Frenet formulas, unit speed-nonunit speed Curvatures, Curvature and Torsion, Knows the plotting Curvatures in MAPLE.
2Knows the Surfaces, Linear Algebra on Surfaces, normal Curvature, plotting Surfaces in MAPLE.
3Identifies the Curvatures, calculating Curvatures, Gaus Curvature, the properties of Curvature, can make calculating Curvatures with MAPLE.
4Knows the Curvatures on minimal Surfaces, harmonic functions, Constant Mean Curvature.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0014 45  54
LO 0025 5   44
LO 0034  4  45
LO 0044 55  44
Sub Total17 1414  1717
Contribution40440044

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 2015-2016 Fall1ŞEVKET CİVELEK
Details 2012-2013 Fall1CANSEL AYCAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 576 APPLIED DIFFERENTIAL GEOMETRY-I 3 + 0 1 Turkish 2015-2016 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
FEN A0391 %80
Goals Teaching of various curved structures and their computer modeling.
Content Curvatures in Euclid Space, Arclength parametrization, Frenet formulas, unit speed-nonunit speed Curvatures, Curvature and Torsion, plotting Curvatures in MAPLE, Surfaces, Linear Algebra on Surfaces, normal Curvature, plotting Surfaces in MAPLE, Curvatures, calculating Curvatures, Gaus Curvature, the properties of Curvature, calculating Curvatures with MAPLE, Curvatures on minimal Surfaces, harmonic functions, Constant Mean Curvature.
Topics
WeeksTopics
1 Curvatures in Euclid Space
2 Arclength parametrization
3 Frenet formulas
4 unit speed-nonunit speed Curvatures
5 Curvature and Torsion
6 plotting Curvatures in MAPLE
7 Surfaces, Linear Algebra on Surfaces
8 Midterm exam
9 normal Curvature
10 plotting Surfaces in MAPLE
11 Curvatures, calculating Curvatures, Gaus Curvature, the properties of Curvature
12 calculating Curvatures with MAPLE
13 Curvatures on minimal Surfaces
14 Constant Mean Curvature.
Materials
Materials are not specified.
Resources
ResourcesResources Language
Generalized Hamiltonian Formalism for Field Theory, G. SARDANASHVILY, World Scientific, Singapore, 1995Türkçe
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