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THIRD CYCLE - DOCTORATE DEGREE
THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
MATHEMATICS DEPARTMENT
1441 Mathematics
Course Information
Course Learning Outcomes
Course's Contribution To Program
ECTS Workload
Course Details
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COURSE INFORMATION
Course Code
Course Title
L+P Hour
Semester
ECTS
MAT 515
JET MANIFOLDS AND JET BUNCHES I
3 + 0
1st Semester
7,5
COURSE DESCRIPTION
Course Level
Doctorate 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.
Mode of Delivery
Face to Face
COURSE LEARNING OUTCOMES
1
Learns Jet manifolds, bundles, Jet fields, jet flows. Realized first order jets.
2
Realized algebraic structure of flows and geometric properties.
3
Knows comparison Jet fields with Jet sections and geometric applications.
COURSE'S CONTRIBUTION TO PROGRAM
PO 01
PO 02
PO 03
PO 04
PO 05
PO 06
PO 07
PO 08
LO 001
5
4
5
LO 002
4
5
5
LO 003
4
4
5
Sub Total
13
13
15
Contribution
4
0
4
5
0
0
0
0
ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities
Quantity
Duration (Hour)
Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)
14
3
42
Hours for off-the-classroom study (Pre-study, practice)
14
7
98
Assignments
1
5
5
Mid-terms
1
15
15
Final examination
1
35
35
Total Work Load
ECTS Credit of the Course
195
7,5
COURSE DETAILS
Select Year
All Years
2015-2016 Fall
2014-2015 Fall
2013-2014 Fall
2011-2012 Fall
2010-2011 Spring
2009-2010 Fall
Course Term
No
Instructors
Details
2015-2016 Fall
1
CANSEL AYCAN
Details
2013-2014 Fall
1
CANSEL AYCAN
Details
2009-2010 Fall
1
CANSEL AYCAN
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Course Details
Course Code
Course Title
L+P Hour
Course Code
Language Of Instruction
Course Semester
MAT 515
JET MANIFOLDS AND JET BUNCHES I
3 + 0
1
Turkish
2015-2016 Fall
Course Coordinator
E-Mail
Phone Number
Course Location
Attendance
Prof. Dr. CANSEL AYCAN
c_aycan@pau.edu.tr
FEN A0391
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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
Weeks
Topics
1
vector fields, tangent spaces
2
manifold structure
3
bundle structure
4
higher order bundles
5
extended bundles
6
midterm exam
7
jet sections and its properties
8
jet fields and its properties
9
first order jet manifolds and its properties
10
first order jet bundles
11
second order jet bundles
12
higher order jet bundles
13
extended jet bundles
14
final exam
Materials
Materials are not specified.
Resources
Course Assessment
Assesment Methods
Percentage (%)
Assesment Methods Title
Final Exam
50
Final Exam
Midterm Exam
50
Midterm Exam
L+P:
Lecture and Practice
PQ:
Program Learning Outcomes
LO:
Course Learning Outcomes
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Home Page
About University
Name And Address
Acedemic Authorities
General Discription
Academic Calendar
General Admission Requirements
Recognition of Prior Learning
General Registration Procedures
ECTS Credit Allocation
Academic Guidance
Information For Students
Cost Of Living
Accommodation
Meals
Medical Facilities
Facilities for Special Needs Students
Insurance
Financial Support for Students
Student Affairs
Learning Facilities
International Programs
Language Courses
Internships
Sports Facilities and Leisure Activities
Student Associations
Practical Information for Mobile Students
Degree Programmes