Iğdır 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
170300401303	ORD. DIF. EQUATIONS I	Compulsory	2	3	5

Level of Course Unit

First Cycle

Objectives of the Course

To introduce the concept of differential equations, to learn the constitution of differential equations for some applications and to investigate some solution methods for these equations

Name of Lecturer(s)

Prof. Dr. Elman HAZAR

Learning Outcomes

1	Be able to define the concept of differential equations.
2	Be able to obtain the differential equation admitting the given function as solution.
3	Be able solve some kind of first order and first degree differential equations
4	Be able to comprehend the geometric applications of some differential equations
5	Be able to solve some kind of first order and higher degree differential equation

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Introduction, Classification of Differential Equations, Solutions, Obtaining Differential Equations, First Order and First Degree Differential Equations, Linear Differential Equations, Differential Equations Solvable by Substituting, Trajectories and Geometric Applications, First Order and Higher Degree Differential Equations, Singular Solution, Some Physical Applications.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Introduction, Classification of Differential Equations
2	Solutions, Obtaining Differential Equations
3	Examples from Applied Sciences
4	First Order and First Degree Differential Equations
5	Separable and Homogeneous Equations
6	Exact Differential Equations
7	Integrating Factor
8	Midterm
9	Linear Differential Equations
10	Trajectories and Geometric Applications
11	Orbits and Geometric Applications
12	First Order and Higher Degree Differential Equations
13	Singular Solution
14	Some Physical Applications

Recommended or Required Reading

Mehmet ÇAĞLIYAN,Nisa ÇELİK,Setenay DOĞAN Adi Diferansiyel Denklemler

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	2	2
Attending Lectures	14	4	56
Question-Answer	14	4	56
Individual Study for Mid term Examination	1	20	20
Individual Study for Final Examination	1	20	20
TOTAL WORKLOAD (hours)			155

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO1	4	4	4	4	4	4	4	4	4	4
LO2	4	4	4	4	4	4	4	4	4	4
LO3	4	4	4	4	4	4	4	4	4	4
LO4	4	4	4	4	4	4	4	4	4	4
LO5	4	4	4	4	4	4	4	4	4	4

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