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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 511GENERALISED CLASSICAL MECHANICS AND FIELD THEORY I3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective To teach the basics of mechanics, beam structures.
Course Content Bunches, Tangent Bunches, Jets, Extended Jets, Bunch Mappings and Morphisms, Generalised Lagrange and Klein Formulae, Homogeneous Lagranians, Generalised Hamilton and Jakobi Ostrogradsky Formulae and Geometric Applications.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Knows bundles, tangent bundles, Jets and generalized Jets.
2Learns bundles transforms and morphism, knows generalized Lagrange and Klien formula.
3Realized homogeneous Lagrangian, generalized Hamiltonian and Jacobian Ostrogradsky formula and learns geometric application.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 45   4
LO 0024 55   4
LO 0035 44   5
Sub Total14 1314   13
Contribution50450004

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 2013-2014 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 511 GENERALISED CLASSICAL MECHANICS AND FIELD THEORY I 3 + 0 1 Turkish 2013-2014 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
FEN A0305 %80
Goals To teach the basics of mechanics, beam structures.
Content Bunches, Tangent Bunches, Jets, Extended Jets, Bunch Mappings and Morphisms, Generalised Lagrange and Klein Formulae, Homogeneous Lagranians, Generalised Hamilton and Jakobi Ostrogradsky Formulae and Geometric Applications.
Topics
WeeksTopics
1 Tangent Bundles and Bundle Maps between theirs
2 higher order tangent bundles extensions of tangent bundles
3 Higher order Jets on Extended tangent bundles
4 The structure of Extended Jets and its Differeantial Geometry
5 Extended Bundle Map on higher order Extended tangent bundles
6 Differeantial Geometry of Extended Bundle Maps
7 Jets of Sections and jets of maps
8 Midterm Exam
9 Generalized Lagrange Formulas
10 Generalized Klien Formulas
11 Homogenous Lagrangians
12 Generalized Hamilton Formulas
13 Generalized Jacobi Ostrogradsky Formulas
14 Applications of Generalized Jacobi Ostrogradsky Formulas
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