Course Information

Course Name	Turkish	Lineer Cebir ve Uygulamaları
	English	Linear Algebra and Applications
Course Code	MAK 114	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	2	-	2	1	-
Course Language		Turkish
Course Coordinator		Adem Candaş
Course Objectives		1.To provide the methods of solution of systems of linear equations. 2. To provide the applications of matrix and determinant. 3. To give an ability to apply knowledge of linear algebra on engineering problems.
Course Description		Matrices and System of Equations, Systems of Linear Equations, Row Echelon Form, MatrixAlgebra, Elementary Matrices, Determinants, The Determinant of a Matrix, Properties ofDeterminants, Cramer’s Rule, Vector Spaces, Definition of Vector Space, Subspaces, LinearIndependence, Basis and Dimension, Change of Basis, Row Space end Column Space, Linear transformations, Matrix Representations of Linear Transformations, Ortogonallik, TheScalar Product, Orthogonal Subspaces, Inner Product Spaces, Orthonormal Sets, TheGram-Schmidt Orthogonalization Process, Eigenvalues and Eigen vectors, Diagonalization.
Course Outcomes		Students completing this course will be able to : I. Solve the systems of linear equations. Provide arithmetic operations with matrices. Compute the inverse of matrix. II. Determine the value of determinant of a matrix. Use Cramer rule to solve the systems. III. Learn the importance of the concepts of vector space, basis and dimension. IV. Compute the matrix representation of a linear transformation. V. Find an orthonormal basis using the Gram-Schmidt process. VI. Evaluate the eigenvalues and the corresponding eigenvectors of the matrix. VII. Understanding the applications of eigenvalues and eigenvectors.
Pre-requisite(s)		None
Required Facilities
Other
Textbook		Gilbert Strang, Linear Algebra and Its Applications, 4th Edition, Thomson Brooks/Cole, 2006.
Other References		Steven J. Leon, Linear Algebra with Applications, 6th Edition, Pearson Education International, 2002. Ron Larson, David C. Falvo, Elementary Linear Algebra, 6th Edition, Houghton Mifflin Harvourt Publishing Comp., 2009.

Courses

Help

About