Course Name Code Semester T+U Hours Credit ECTS
Applied Linear Algebra MAT 509 0 3 + 0 3 6
Precondition Courses <p>Students are assumed to be familiar with Linear Algebra</p>
Recommended Optional Courses
Course Language Turkish
Course Level yuksek_lisans
Course Type Optional
Course Coordinator Prof.Dr. ÖMER FARUK GÖZÜKIZIL
Course Lecturers Prof.Dr. ÖMER FARUK GÖZÜKIZIL,
Course Assistants
Course Category
Course Objective

To Understand the applications of linear algebra in engineering and other applied sciences.

Course Content

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.

# Course Learning Outcomes Teaching Methods Assessment Methods
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,
Week Course Topics Preliminary Preparation
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
Resources
Course Notes <p>Lineer cebir problemleri , &Ouml;mer Faruk G&ouml;z&uuml;kızıl , Sakarya kitabevi</p>
Course Resources

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.

Order Program Outcomes Level of Contribution
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
Evaluation System
Semester Studies Contribution Rate
1. Kısa Sınav 10
2. Kısa Sınav 10
3. Kısa Sınav 10
1. Ara Sınav 70
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
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
Total Workload 140
Total Workload / 25 (Hours) 5.6
dersAKTSKredisi 6