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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 534DIFFERENTIAL GEOMETRIC METHODS IN ANALITIC MECHANICS I3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective How to obtain mechanical systems and energy equations has been teaching.
Course Content Symplectic Vector Spaces, Symplectic Manifolds, Symplectic Form on Cotangent Bunch, Approximate Tangent Forms on Manifolds, Canonic Approximate Tangent Forms of Tangent Bunches, Integrability, Approximate Tangent Connections, Vertical and Complete Elevateds of Tensor Areas to Tangent Bunch, Complete Elevateds of Linear Connections to Tangent Bunch, Horizontal Elevateds of Tensor Areas and Connections, Sasaki Metric at Tangent Bunch.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns the Symplectic Vector Spaces, Symplectic Manifolds, Knows the Symplectic Form on Cotangent Bunch.
2Knows the Approximate Tangent Forms on Manifolds, Canonic Approximate Tangent Forms of Tangent Bunches.
3Learns the Integrability, Approximate Tangent Connections, Vertical and Complete Elevateds of Tensor Areas to Tangent Bunch.
4Knows the Complete Elevateds of Linear Connections to Tangent Bunch, Horizontal Elevateds of Tensor Areas and Connections, Learns the Sasaki Metric at Tangent Bunch.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0014 55   4
LO 0025  4   5
LO 0035  5   4
LO 0044 54   5
Sub Total18 1018   18
Contribution50350005

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 2014-2015 Fall1ŞEVKET CİVELEK
Details 2011-2012 Fall1ŞEVKET CİVELEK
Details 2009-2010 Fall1ŞEVKET CİVELEK


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 534 DIFFERENTIAL GEOMETRIC METHODS IN ANALITIC MECHANICS I 3 + 0 1 Turkish 2014-2015 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
FEN A0305 %
Goals How to obtain mechanical systems and energy equations has been teaching.
Content Symplectic Vector Spaces, Symplectic Manifolds, Symplectic Form on Cotangent Bunch, Approximate Tangent Forms on Manifolds, Canonic Approximate Tangent Forms of Tangent Bunches, Integrability, Approximate Tangent Connections, Vertical and Complete Elevateds of Tensor Areas to Tangent Bunch, Complete Elevateds of Linear Connections to Tangent Bunch, Horizontal Elevateds of Tensor Areas and Connections, Sasaki Metric at Tangent Bunch.
Topics
WeeksTopics
1 Simplectic vector Spaces
2 Simplectic Manifolds
3 Simplectic structure on Cotangent Bundle
4 Almost Tangent Simplectic structure on Cotangent Bundle
5 Canonical Almost Tangent structure on tangent Bundle
6 Integriability
7 Almost Tangent Connections
8 Complete and Vertical lifts of the Tensor fields to Tangent Bundle
9 Complete lifts of the Linear Connections to Tangent Bundle
10 Midterm Exam
11 Vertical lifts of the Linear Connections to Tangent Bundle
12 Horizontal lifts of the Tensor fields to Tangent Bundle
13 Horizontal lifts of the Connections to Tangent Bundle
14 Sasakina Metrics on the Tangent Bundle
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