DİFERANSİYEL DENKLEMLER DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT203	DİFERANSİYEL DENKLEMLER	3	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	Assist.Prof. OĞUZHAN ÖZTAŞ
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi	Dr.Öğr.Üyesi BAHADIR KOPÇASIZ-Dr.Öğr.Üyesi FERHAT KÜRÜZ-Doç.Dr. GÜLSÜM YELİZ SAÇLI
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	Explains the fundamental engineering concepts of computer science and relates them to the groundwork of computer science.			2

KNOWLEDGE
Factual
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Uses theoretical and practical knowledge coming from mathematics, probability, statistics and various other branches of life sciences, to find solutions to engineering problems.			2

SKILLS
Cognitive
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Determines the components and the underlying process of a system and designs an appropriate computational model under reasonable constraints.			2
2	Designs a computer-aided conceptual model with modern techniques.		1

SKILLS
Practical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Determines, detects and analyzes the areas of computer science applications and develops appropriate solutions.			2
2	Identifies, models and solves computer engineering problems by applying appropriate analytical methods.				3
3	Determines and uses the necessary information technologies in an efficient way for engineering applications.			2

OCCUPATIONAL
Autonomy & Responsibility
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.			2
2	Possess the ability to conduct effective individual study.				3
3	Takes responsibility as a team work and contributes in an effective way.			2

OCCUPATIONAL
Learning to Learn
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Monitors the developments in the field of information technologies by means of internet and related journals and possess the required knowledge for the management, control, development and security of information technologies.			2
2	Develops positive attitude towards lifelong learning.			2

OCCUPATIONAL
Communication & Social
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Communicates effectively by oral and/or written form and uses at least one foreign language.			2
2	Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.				3

OCCUPATIONAL
Occupational and/or Vocational
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Possess professional and ethical responsibility and willingness to share it.			2
2	Possess sufficient consciousness about the universality of engineering solutions and applications and be well aware of the importance of innovation.			2

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