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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 535DIFFERENTIAL GEOMETRIC METHODS IN ANALITIC MECHANICS II3 + 01st 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 Lagrange Systems and Approximate Tangent Geometry, Homogen Lagrangians, Connections and Lagrangian Systems, Semi-Spraying and Lagrangian Systems, Geometric Approximation of an Inverse Problem at Lagrange Dynamics, Lagrangians Connected with Time, Dynamic Connections, Dynamic Connections and Lagrangians Connected with Time, Variational Approximation. .
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns the Lagrange Systems and Approximate Tangent Geometry, Homogen Lagrangians,Knows the Connections and Lagrangian Systems, Semi-Spraying and Lagrangian Systems.
2Learns the Geometric Approximation of an Inverse Problem at Lagrange Dynamics, Knows the Legendre Transformation.
3Identifies the Lagrangians Connected with Time, Dynamic Connections, Dynamic Connections and Lagrangians Connected with Time.
4Knows the Variational Approximation.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0014 45   4
LO 0025 54   5
LO 0034 45   4
LO 0045 44   5
Sub Total18 1718   18
Contribution50450005

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 2011-2012 Spring1ŞEVKET CİVELEK
Details 2009-2010 Spring1ŞEVKET CİVELEK


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 535 DIFFERENTIAL GEOMETRIC METHODS IN ANALITIC MECHANICS II 3 + 0 1 Turkish 2011-2012 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Course location is not specified. %
Goals How to obtain mechanical systems and energy equations has been teaching.
Content Lagrange Systems and Approximate Tangent Geometry, Homogen Lagrangians, Connections and Lagrangian Systems, Semi-Spraying and Lagrangian Systems, Geometric Approximation of an Inverse Problem at Lagrange Dynamics, Lagrangians Connected with Time, Dynamic Connections, Dynamic Connections and Lagrangians Connected with Time, Variational Approximation. .
Topics
WeeksTopics
1 Lagrange Systems and Approximate Tangent Geometry
2 Homogen Lagrangians
3 Connections and Lagrangian Systems
4 Semi-Spraying and Lagrangian Systems
5 Geometric Approximation of an Inverse Problem at Lagrange Dynamics
6 Legendre Map
7 Lagrangians Connected with Time
8 Midterm
9 Dynamic Connections
10 Dynamic Connections and mechanical Systems Connected with Time
11 Dynamic Connections and Lagrangians Connected with Time
12 Dynamic Hamiltonian Systems
13 Variational Approximation
14 to evaluate the course Generally
Materials
Materials are not specified.
Resources
ResourcesResources Language
Türkçe
Methods of Differential Geometry in Analtyical Mechanics, M. De leon, P.R. Rodrugues, Amsterdam Math.Stud.1989English
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