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 |
|