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DIFFERENTIAL EQUATIONS DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu Dersin Adı Yarıyıl Süresi(T+U) Kredisi AKTS Kredisi
MTH215 DIFFERENTIAL EQUATIONS 3 4 3 5

DERS BİLGİLERİ

Dersin Öğretim Dili : İngilizce
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 SAJEDEH NOROZPOUR SIGAROODI
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.)

The students who take the course will be able to; I. Define differential equations, know the properties and classify. II. Can perform general solution of a differential equation. III. Know exact differential equations and solve it. IV. Solve differential equations using integral factor. V. Know higher-order differential equations and its applications.

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI

Hafta Ön Hazırlık Konular Yöntem
1 Literature Research Giving Information About the Subjects and Methods of Teaching. Expression
2 Literature Research Definition of Derivative and Differential. Appling First Degree General Differential Equations. Expression
3 Literature Research Integral Methods Used in Differential Equations Expression
4 Literature Research Order and Degree of Differential Equations, Classification of Differential Equations Expression
5 Literature Research Solution Steps and Solution of A Differential Equation Expression
6 Literature Research Differential Equations and Solutions That Can Be Separated into Their Variables. Expression
7 Literature Research Exact Differential Equations and General Solutions. Expression
8 - MID-TERM EXAM -
9 Literature Research Linear Differential Equations and General Solutions. Expression
10 Literature Research Linear Differential Equations and It's Applications. Expression
11 Literature Research Type of Homogeneous Differential Equations. Expression
12 Literature Research Constant Coefficient Homogeneous Differential Equations and Solutions Expression
13 Literature Research Solutions of Differential Equations with Integral Factor. Expression
14 Literature Research Solutions of High Order Differential Equations. Expression
15 Literature Research General Evaluation of the Course and Discussion. Expression
16 - FINAL EXAM -
17 - FINAL EXAM -

KAYNAKLAR

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

DERSİN PROGRAM ÖĞRENME ÇIKTILARINA KATKISI

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.
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.
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
Designs a computer-aided conceptual model with modern techniques.
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
Identifies, models and solves computer engineering problems by applying appropriate analytical methods.
3
Determines and uses the necessary information technologies in an efficient way for engineering applications.
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
Possess the ability to conduct effective individual study.
3
Takes responsibility as a team work and contributes in an effective way.

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 4 56
Preliminary & Further Study 14 1 14
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 0 0 0
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 7 3 21
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 2 2
Preparation for the Final Exam 1 20 20
Mid-Term Exam 1 2 2
Preparation for the Mid-Term Exam 1 15 15
Short Exam 0 0 0
Preparation for the Short Exam 0 0 0
TOTAL 39 0 130
Genel Toplam 130
Toplam İş Yükü / 25.5 5,1
Dersin AKTS(ECTS) Kredisi 5,0