Industrial Engineering
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Ders Genel Tanıtım Bilgileri

Course Code:

FEC208

Ders İsmi:

Differential Equations

Ders Yarıyılı:

Spring

Ders Kredileri:

Theoretical	Practical	Laboratory	ECTS
4	0	0	6

Language of instruction:

Turkish

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Yes

Type of course:

Required

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

E-Learning

Course Coordinator :

Assoc. Prof. Dr. MERVE TEMİZER ERSOY

Course Lecturer(s):

Asst. Prof. Dr. HAMZA ÖZER
Assoc. Prof. Dr. MERVE TEMİZER ERSOY

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:

To provide students with mathematical knowledge about differential equations and the ability to use this knowledge in mathematical problems they will encounter.

Course Content:

This course covers the basic concepts and models of differential equations, first-order differential equations, separable, homogeneous, linear, Bernoulli and Riccati differential equations, exact differential equations and integration factor, first-order higher-order equations, higher-order differential equations, high constant coefficients. It covers order differential equations, method of variation of parameters, differential equations with variable coefficients, systems of differential equations, laplace transforms.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) Defines the differential equation.
2) Solves the kinds of homogeneous, linear, exact differential equations that can be separated into their variables.
3) Solves Bernoulli and Riccati differential equations.
4) Solves second and higher order linear differential equations with constant coefficients.
2 - Skills
Cognitive - Practical
1) Solves differential equations with the help of Laplace transforms.
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week	Subject	Related Preparation
1)	Basic concepts and models of differential equations	Textbook
2)	Separable and Homogeneous Differential Equations	Textbook
3)	Linear and Bernoulli differential equations	Textbook
4)	Riccati and Exact differential equations	Textbook
5)	Integration factor	Textbook
6)	First-order higher-order equations	Textbook
7)	Higher order differential equations	Textbook
8)	Mid term	Textbook
9)	High-order differential with constant coefficients equations	Textbook
10)	Method of change of parameters	Textbook
11)	Differential equations with variable coefficients	Textbook
12)	Differential Equation Systems	Textbook
13)	Laplace Transforms	Textbook
14)	Laplace Transforms	Textbook
15)	Final	Textbook

Sources

Course Notes / Textbooks:	1- Elementary Differential Equations and Boundary Value Problems, William E. Boyce and Richard C. DiPrima, 6-th edition. 2- Shepley L. Ross, Introduction to Ordinary Differential Equations, Ginn and Company 3- Diferansiyel Denklemler ve Mathematica, Yusuf Cesur, 2011
References:	1- M. Çağlayan, N. Çelik ve S. Doğan, Adi Diferensiyel Denklemler, Dora Yayın, 2008. 2- Shaums Serisi, Differential Equations, Mc Graw Hill 1955.

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	3	4	5
Program Outcomes

Ders - Öğrenme Kazanımı İlişkisi

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

Program Outcomes

Level of Contribution

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	1	% 50
Final	1	% 50
total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
total		% 100