Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
DIFFERENCE EQUATIONS MAT 352 6 2 + 0 2 4
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü SECMELI Dersin Koordinatörü Prof.Dr. ÖMER FARUK GÖZÜKIZIL Dersi Verenler Dersin Yardımcıları Research Assistants from Applied Mathematics. Dersin Kategorisi Dersin Amacı learning fundemantals subject about difference equations . Solution and inference methods of difference equations . Dersin İçeriği Difference analysis, Linear difference equations,Applicatins of linear difference equations,Nonlinear difference equations,High order linear difference equatins,Systems with constant coefficient, Generating functions method and Solutions of difference equation, z-transformations , dynamics of first ordered difference equation and its applications, consistency.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - To be able to describe the rules of difference equations. 1 - 4 - 15 - A - C - 2 - To be able to construct to difference equations and theirs solutions. 1 - 4 - 15 - A - C - 3 - To be able to infer the solutions. 1 - 4 - 15 - A - C - 4 - to learn the method of undetermined coefficients and generating functions. 1 - 4 - 15 - A - C - 5 - to solve high ordered difference equations. 1 - 4 - 15 - A - C - 6 - to apply to electrical networks . 1 - 4 - 15 - A - C -
 Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Analysis of differences
2 Linear difference equations
3 Applications of Linear difference equations
4 Homogeneous linear difference equations
5 Homogeneous linear difference equations with constant coefficients
6 Solutions of the non-homogeneous equations
7 Particular solutions
8 Method of undetermined coefficients
9 Method of generating functions
10 Linear difference equations with variable coefficients
11 Nonlinear difference equations
12 High ordered difference equations
13 Applications to electrical Networks.
14 Applications to probability.

#### Kaynaklar

Ders Notu Akın Ö. , Bulgak H. Lineer Fark Denklemleri ve Kararlılık Teorisi, Selçuk Üniversitesi Basımevi,(1998)
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 He/ she has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment. X
2 He/ she has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment. X
3 Evaluating the fundamental notions, theories and data with academic methods, he/ she determines and analyses the encountered problems and subjects, exchanges ideas, improves suggestions propped up proofs and inquiries. X
4 Evaluating the fundamental notions, theories and data with academic methods, he/ she determines and analyses the encountered problems and subjects, exchanges ideas, improves suggestions propped up proofs and inquiries. X
5 He/ she has the competency of executing the further studies of undergraduate subjects independently or with shareholders. X
6 He/ she follows up the knowledge of mathematics and has the competency of getting across with his (or her) professional colleagues within a foreign language.
7 He/ she follows up the knowledge of mathematics and has the competency of getting across with his (or her) professional colleagues within a foreign language. X
8 He/ she has the knowledge of computer software information as a mathematician needs. X
9 He/ she has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics. X
10 He/ she has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics. X
11 He/ she has the ability to make the mathematical models of contemporary problems and solving them. X
12 He/ she has the ability to make the mathematical models of contemporary problems and solving them. X
13 He/ she uses the ability of abstract thinking. X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 60
KisaSinav 1 15
Odev 1 10
KisaSinav 2 15
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 2 32
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 6 6
Assignment 1 16 16
Performance Task (Laboratory) 1 16 16
Toplam İş Yükü 102
Toplam İş Yükü /25(s) 4.08
Dersin AKTS Kredisi 4.08
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