1. SECOND CYCLE - MASTER'S DEGREE
  2. THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
  3. MATHEMATICS DEPARTMENT
  4. 1441 Mathematics
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
Print

COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 520JET MANIFOLDS AND JET BUNCHES II3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective To teach and develop geometric structures.
Course Content High-order Bunch Structures, Extended Bunches, Jet Domains, Jet Manifolds, High-order Jet Bunches, Extended Jet Bunches, Structures and Properties of Jet Mappings, Raised Jet euts and Geometric Applications, Raised Jet flows and Geometric Applications.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.

COURSE LEARNING OUTCOMES
1Knows high-order bundle structure, generalized bundles, Jet fields, Jet manifolds.
2Realized high-order Jet bundles, generalized Jet bundles.
3Knows structure and properties of Jet transforms, raised jet section and geometric properties, raised jet flow and geometric properties.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0014 55   4
LO 0024 44   4
LO 0035 55   4
Sub Total13 1414   12
Contribution40550004

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 Spring1CANSEL AYCAN ÖZDEMİR
Details 2009-2010 Spring1CANSEL AYCAN ÖZDEMİR


Print

Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester Mode of Delivery
MAT 520 JET MANIFOLDS AND JET BUNCHES II 3 + 0 1 Turkish 2013-2014 Spring Face to Face
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. CANSEL AYCAN ÖZDEMİR c_aycan@pau.edu.tr FEN A0304 %70
Goals To teach and develop geometric structures.
Content High-order Bunch Structures, Extended Bunches, Jet Domains, Jet Manifolds, High-order Jet Bunches, Extended Jet Bunches, Structures and Properties of Jet Mappings, Raised Jet euts and Geometric Applications, Raised Jet flows and Geometric Applications.
Topics
WeeksTopics
1 fibred manifolds and bundles
2 bundle morphisms, sections
3 vector bundles, affin bundles
4 derivations, connections
5 first order jets and jet manifolds
6 midterm exam
7 prolongations of morphisms
8 jet fields and vertical lifts
9 first order jet bundles
10 second order jets and manifolds
11 repeated jets,second order jet bundles
12 higher order jets, bundles and manifolds
13 extended jet bundles and infinite jets
14 final exam
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