Ordu University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
FMA641	NON-LINEAR DIFFERENTIAL EQUATIONS I	Compulsory	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

• to learn the basic concepts of non-linear differential equations is to be ready to Scientific studies.

Name of Lecturer(s)

Assist. Prof.Dr.Mehmet KORKMAZ

Learning Outcomes

1	To have the ability and knowledge of the advanced level of related to the field and use it in real learning environments.
2
3
4
5

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

• Existence theory for boundary value problems • Lagestrom model • The resulting equation in electromagnetic theory • Plazma boundary value problems in plasma physics • Phase space analysis of autonomous systems • Quadratic systems • Boundary value problems for nonlinear propagation equation • The collapse of a global space in a perfect gas • Non-linear traveling waves in an isothermal atmosphere

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Existence theory for boundary value problems
2	Lagestrom model
3	The resulting equation in electromagnetic theory
4	Plazma boundary value problems in plasma physics
5	Phase space analysis of autonomous systems
6	Quadratic systems
7	Quadratic systems
8	Midterm exam
9	Boundary value problems for nonlinear propagation equation
10	Boundary value problems for nonlinear propagation equation
11	The collapse of a global space in a perfect gas
12	Non-linear traveling waves in an isothermal atmosphere
13	Orbits, Critical points
14	The orbits and critical points of two-dimensional systems
15	The orbits and critical points of two-dimensional systems
16	Final exam

Recommended or Required Reading

Davies, T. V. and James, E. M. (1966), ‘’Nonlinear Differential Equation’’, addison-Wesley Reading Mass, New York. Aggarwal, J. K. (1972), ‘’Nonlinear Systems’’, Van Nostrand Reinhold Company, New York.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
SUM		0
End Of Term (or Year) Learning Activities	Quantity	Weight
SUM		0
Yarıyıl (Yıl) İçi Etkinlikleri		40
Yarıyıl (Yıl) Sonu Etkinlikleri		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	2	28
Problem Solving	5	4	20
Self Study	16	2	32
Individual Study for Homework Problems	5	4	20
Individual Study for Mid term Examination	8	4	32
Individual Study for Final Examination	8	4	32
TOTAL WORKLOAD (hours)			168

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7
LO1
LO2
LO3
LO4
LO5

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High