Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
APPLİED LİNEAR ALGEBRA MAT 509 0 3 + 0 3 6
Ön Koşul Dersleri Students are assumed to be familiar with Linear Algebra
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü SECMELI Dersin Koordinatörü Prof.Dr. ÖMER FARUK GÖZÜKIZIL Dersi Verenler Prof.Dr. ÖMER FARUK GÖZÜKIZIL Dersin Yardımcıları Dersin Kategorisi Dersin Amacı To Understand the applications of linear algebra in engineering and other applied sciences. Dersin İçeriği Systems of Linear Equations.Determinants and applications.Linear independent,GramSchmidt Method and the Least Squares Method. Computer applications. Eigenvalues and eigenvectors. Circulant matrices and applications. Hadamard matrices .Some decomposition methods of a matrix . The system of Differential equations and dynamic systems. Phase space and equilibrium points.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - to Understand the rules of linear algebra. 1 - 4 - 15 - A - C - 2 - to Understand the applications of linear algebra in engineering and other applied sciences. 1 - 4 - 15 - A - C - 3 - to understand eigenvalues and eigenvectors of a square matrix,The applications of eigenvalues and vectors. 1 - 4 - 15 - A - C - 4 - to learn to the norms of matrices and some matrix docompositions 1 - 4 - 15 - A - C - 5 - to compute to the solution sets of some higher degrees equations. 1 - 4 - 15 - A - C - 6 - to solve the dynamic systems. 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 Systems of linear equations and solutions methods.
2 Inconsistent systems
3 Some matrix decompositions.
4 LU and QR decompositions
5 QR decomposition and the least squares method.
6 Applications in MATLAB and Mathematica
7 Spectral value and singular value decompositions.
8 The norms of matrices.
9 the solution sets of some higher degrees equations by using circulate matrices.
10 Eigenvalues and eigenvectors
11 Computer applications
12 The system of Differential equations
13 Dynamic systems
14 Phase space and equilibrium points

#### Kaynaklar

Ders Notu

Lineer cebir problemleri , Ömer Faruk Gözükızıl , Sakarya kitabevi

Ders Kaynakları

Elementary Linear Algebra Roberts A.W.,1982.
Matrisler ve Mühendislik Problemlerine Uygulaması, Prof.Dr.Ing.R.Zurmühl, (çeviri),Çağlayan Kitabevi,1988.
Linear Algebra, Bernhard Kolman, David R. Hill, 2000.
MATLAB Alfa yayınevi,2003.

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Student follows the current journals in his/her field and puts forward problems. X
2 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
3 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
4 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
5 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
6 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. X
7 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters X
8 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. X
9 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
10 Student follows the current journals in his/her field and puts forward problems. X
11 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
12 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
13 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
14 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
15 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. X
16 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters X
17 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. X
18 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
19 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 60
KisaSinav 1 10
KisaSinav 2 10
Odev 1 20
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 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 10 10
Assignment 1 25 25
Final examination 1 25 25
Toplam İş Yükü 140
Toplam İş Yükü /25(s) 5.6
Dersin AKTS Kredisi 5.6
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