DIFFERENTIAL EQUATIONS PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT203	DIFFERENTIAL EQUATIONS	3	4	3	5

GENERAL INFORMATION
Language of Instruction :	Türkçe
Level of the Course Unit :	LİSANS, TYY: + 6.Düzey, EQF-LLL: 6.Düzey, QF-EHEA: 1.Düzey
Type of the Course :	Zorunlu
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Dr.Öğr.Üyesi BİNNUR GÜRÜL
Instructor(s) of the Course Unit	Dr.Öğr.Üyesi BAHADIR KOPÇASIZ-Dr.Öğr.Üyesi FERHAT KÜRÜZ-Doç.Dr. GÜLSÜM YELİZ SAÇLI
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	Öğrencilere diferansiyelin tanımını, diferansiyel denklemlerin genel çözümlerini, çeşitli diferansiyel çözüm yöntemlerini ve uygulamalarını öğretmektir.
Contents of the Course Unit:	Diferansiyelin Tanımı, Diferansiyel Denklemlerin Genel Çözümleri, Çeşitli Diferansiyel Denklemlerin Çözüm Yöntemleri ve Uygulamaları

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
Diferansiyel denklemleri tanır ve çözümlemeler yapar.
Diferansiyel bir denklemin çözüm aşamalarını ve çözümünü yapar.
Tam diferansiyel denklemi tanır ve genel çözümlemelerini yapar.
İntegral çarpanı ile diferansiyel denklem çözümlerini yapar.
Yüksek mertebeden diferansiyel denklemler ve çözümlemelerini yapar.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	-	Tanışma, Dersin Konuları,İşleniş Yöntemleri Hakkında Bilgilendirme.	-
2	-	Türev ve Diferansiyelin Tanımı,Türev Yardımıyla Diferansiyelin Hesabı	-
3	-	Diferansiyel Denklem Çözümlerinde Kullanılan İntegral Alma Yöntemleri	-
4	-	Diferansiyel Denklemlerin Mertebe ve Dereceleri, Diferansiyel Denklemlerin Sınıflandırılması	-
5	-	Diferansiyel Bir Denklemin Çözüm Aşamaları ve Çözümü	-
6	-	Değişkenlerine Ayrılabilen Diferansiyel Denklemler ve Çözümleri	-
7	-	Tam Diferansiyel Denklem Alma Koşulları ve Genel Çözümlemeleri	-
8	-	ARA SINAV	-
9	-	Lineer Diferansiyel Denklemlerin Tanımı ve Çözümlenmeleri	-
10	-	Lineer Diferansiyel Denklemlerin Teknik Problemlerin Çözümünde Kullanılmaları	-
11	-	Homojen ve Homojen Hale Getirilebilen Diferansiyel Denklemler	-
12	-	Sabit Katsayılı Homojen Diferansiyel Denklemler ve Çözümleri	-
13	-	İntegral Çarpanı ile Diferansiyel Denklem Çözümleri	-
14	-	Yüksek Mertebeden Diferansiyel Denklemler ve Çözümlemeleri	-
15	-	FİNAL	-
16	-	FİNAL	-
17	-	FİNAL	-

SOURCE MATERIALS & RECOMMENDED READING
“ Essentials of Ordinary Differential Equations” by R P Agarwal and R Gupta
Diferensiyel Denklemlerin Temelleri, Prof.Dr.Ogün Doğru, NOBEL Akademik Yayıncılık, Ankara, 2013
Fundamentals of Differential Equations, R. Kent Nagle, Edward B. Saff, Arthur David Snider, Addison Wesley, New York, 1986
Essentials of Ordinary Differential Equations by R P Agarwal and R Gupta
Diferensiyel Denklemlerin Temelleri, Prof.Dr.Ogün Doğru, NOBEL Akademik Yayıncılık, Ankara, 2013
Fundamentals of Differential Equations, R. Kent Nagle, Edward B. Saff, Arthur David Snider, Addison Wesley, New York, 1986

ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Gain sufficient knowledge in Mathematics, Science and Industrial Engineering.						5

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Analyzes and evaluates existing application areas in the field of Industrial Engineering and develops applications for their solutions.				3

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Analyzes a system, the components of that system, the process of that system, and designs the system by examining it in line with realistic constraints and goals.				3
2	Gains the ability to model and solve engineering problems.			2

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Identifies the problems that may be encountered in the field of industrial engineering and acquires the ability to choose and apply the appropriate method to be used in problem solving.				3
2	Selects and uses technical tools necessary for industrial engineering applications; uses information technologies effectively.					4
3	Designs experiments, conducts experiments, collects data, analyzes and interprets the results to examine problems in the field of industrial engineering.			2

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Gains the ability to work effectively within a team.					4
2	Works effectively individually and takes responsibility.				3

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Accesses the necessary information for a determined problem and searches for resources for this purpose.					4
2	Has the ability to follow all developments in the field of industrial engineering and constantly renew itself.						5

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Gains oral and written communication skills and speaks at least one foreign language.		1

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Has awareness of professional and ethical responsibility.				3
2	Has knowledge about the universal and social effects of industrial engineering applications and reaches solutions by being aware of the importance of an innovative approach in solving engineering problems.			2

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT
Workload for Learning & Teaching Activities
Type of the Learning Activites	Learning Activities (# of week)	Duration (hours, h)	Workload (h)
Ders	14	3	42
Derse Ön Hazırlık ve Ders Sonrası Pekiştirme	14	3	42
Arazi Çalışması	0	0	0
Grup Çalışması / Ödevi	0	0	0
Laboratuvar	0	0	0
Okuma	3	4	12
Ödev	6	5	30
Proje Hazırlama	0	0	0
Seminer	0	0	0
Staj	0	0	0
Teknik Gezi	0	0	0
Web Tab. Öğrenme	0	0	0
Uygulama	0	0	0
Yerinde Uygulama	0	0	0
Mesleki Faaliyet	0	0	0
Sosyal Faaliyet	0	0	0
Tez Hazırlama	0	0	0
Alan Çalışması	0	0	0
Rapor Yazma	0	0	0
Final Sınavı	1	1	1
Final Sınavı Hazırlığı	0	0	0
Ara Sınav	1	1	1
Ara Sınav Hazırlığı	0	0	0
Kısa Sınav	0	0	0
Kısa Sınav Hazırlığı	0	0	0
TOPLAM	39	0	128