PAÜ .:. Eğitim Öğretim Bilgi Sistemi

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	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.
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

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	%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

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

Prospective Student