1. Eğitim Bilgi Sistemi
  2. Matematik Pr. (Yl)
  3. Applied Linear Algebra (2020 - 2021)
Ders Adı Kodu Yarıyıl T+U Saat Kredi AKTS
Applied Linear Algebra MAT 509 0 3 + 0 3 6
Ön Koşul Dersleri

Students are assumed to be familiar with Linear Algebra
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi YUKSEK_LISANS
Dersin Türü Seçmeli
Dersin Koordinatörü Prof.Dr. ÖMER FARUK GÖZÜKIZIL
Dersi Verenler Prof.Dr. ÖMER FARUK GÖZÜKIZIL,
Dersin Yardımcıları
Dersin Kategorisi Diğer
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.
# Ders Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 to Understand the rules of linear algebra. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
2 to Understand the applications of linear algebra in engineering and other applied sciences. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
3 to understand eigenvalues and eigenvectors of a square matrix,The applications of eigenvalues and vectors. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
4 to learn to the norms of matrices and some matrix docompositions Lecture, Drilland Practice, Problem Solving, Testing, Homework,
5 to compute to the solution sets of some higher degrees equations. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
6 to solve the dynamic systems. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
Hafta Ders Konuları Ön Hazırlık
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.
Sıra Program Çıktıları Katkı Düzeyi
1 2 3 4 5
2 Student follows the current journals in his/her field and puts forward problems. X
2 Student follows the current journals in his/her field and puts forward problems. X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
6 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
6 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
7 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 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
8 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 critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters X
9 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 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
10 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 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
11 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. X
Değerlendirme Sistemi
Yarıyıl Çalışmaları Katkı Oranı
1. Kısa Sınav 10
2. Kısa Sınav 10
3. Kısa Sınav 10
1. Ara Sınav 70
Toplam 100
1. Yıl İçinin Başarıya 50
1. Final 50
Toplam 100
AKTS - İş Yükü Etkinlik Sayı Süre (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 (Saat) 5,6
Dersin AKTS Kredisi 6