DİFERANSİYEL DENKLEMLER DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT203	DİFERANSİYEL DENKLEMLER	4	4	3	5

DERS BİLGİLERİ
Dersin Öğretim Dili :	Türkçe
Dersin Düzeyi	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Dersin Türü	Zorunlu
Dersin Veriliş Şekli	-
Dersin Koordinatörü	Prof. OSMAN KOPMAZ
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi
Ders Ön Koşulu	Yok

AMAÇ VE İÇERİK
Amaç:	To teach definition of differential, general solution of differential equations, solution methods and applications of differentials
İçerik:	Definition of Differential, General Solution of Differential Equations, Solution Methods and Applications of Differentials

DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.)
Define differential equations, know the properties and classify
Can perform general solution of a differential equation.
Know exact differential equations and solve it.
Solve differential equations using integral factor.
Know higher-order differential equations and its applications.

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI
Hafta	Ön Hazırlık	Konular	Yöntem
1	-	Giving Information About the Subjects and Methods of Teaching	-
2	-	Definition of Derivative and Differential. Appling First Degree General Differential I Equations.	-
3	-	Integral Methods Used in Differential Equations	-
4	-	Order and Degree of Differential Equations, Classification of Differential Equations	-
5	-	Solution Steps and Solution of A Differential Equation.	-
6	-	Differential Equations and Solutions That Can Be Separated into Their Variables.	-
7	-	Exact Differential Equations and General Solutions.	-
8	-	MID-TERM EXAM	-
9	-	Linear Differential Equations and General Solutions	-
10	-	Using Linear Differential Equations in Solving Technical Problems	-
11	-	Type of Homogeneous Differential Equations	-
12	-	Constant Coefficient Homogeneous Differential Equations and Solutions	-
13	-	Solutions of Differential Equations with Integral Factor	-
14	-	Solutions of High Order Differential Equations	-
15	-	Final EXAM	-
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

KAYNAKLAR
Diferansiyel Denklemler, Prof.Dr.Mustafa Bayram, Birsen Yayınevi, İstanbul, 2010
“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

ÖLÇME VE DEĞERLENDİRME
Yarıyıl İçi Yapılan Çalışmaların Ölçme ve Değerlendirmesi	Etkinlik Sayısı	Katkı Yüzdesi	Açıklama

(0) Etkisiz	(1) En Düşük	(2) Düşük	(3) Orta	(4) İyi	(5) Çok İyi
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Ability to apply mathematics, science and engineering knowledge.						5

KNOWLEDGE
Factual
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Ability to apply mathematics, science and engineering knowledge.						5

SKILLS
Cognitive
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Ability to design experiments, conduct experiments, collect data, analyze and interpret results.	0

SKILLS
Practical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	A system, product or process has economic, environmental, social, political, ethical, health and safety, under realistic constraints and conditions such as feasibility and sustainability, Ability to design to meet requirements.		1

OCCUPATIONAL
Autonomy & Responsibility
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Ability to work in teams with different disciplines		1

OCCUPATIONAL
Learning to Learn
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Ability to identify, formulate and solve engineering problems					4

OCCUPATIONAL
Communication & Social
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Awareness of having professional and ethical responsibilities.		1
2	Ability to communicate effectively verbally and in writing.		1

OCCUPATIONAL
Occupational and/or Vocational
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	The ability to have a comprehensive education to understand the impact of engineering solutions on global and social dimensions.		1
2	Awareness of the necessity of lifelong learning and the ability to do so.	0
3	The ability to have knowledge about current/contemporary issues.		1
4	Ability to use the techniques required for engineering applications and modern engineering and calculation equipment.				3

DERSİN İŞ YÜKÜ VE AKTS KREDİSİ
Öğrenme-Öğretme Etkinlikleri İş Yükü
Öğrenme-Öğretme Etkinlikleri	Etkinlik(hafta sayısı)	Süresi(saat sayısı)	Toplam İş Yükü
Lecture & In-Class Activities	14	3	42
Preliminary & Further Study	14	3	42
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	3	4	12
Assignment (Homework)	6	5	30
Project Work	0	0	0
Seminar	0	0	0
Internship	0	0	0
Technical Visit	0	0	0
Web Based Learning	0	0	0
Implementation/Application/Practice	0	0	0
Practice at a workplace	0	0	0
Occupational Activity	0	0	0
Social Activity	0	0	0
Thesis Work	0	0	0
Field Study	0	0	0
Report Writing	0	0	0
Final Exam	1	1	1
Preparation for the Final Exam	0	0	0
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	0	0	0
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	39	0	128