Course Information

Course Name	Turkish	Lineer Cebir II
	English	Linear Algebra II
Course Code	MAT 142E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	2	3	3	-	-
Course Language		English
Course Coordinator		Ersin Özuğurlu
Course Objectives		1- To teach the concept of inner product, iner product space and diagonalization methods, 2- By reminding the basic subjects of linear transformations to teach the concept of eigen values and eigen vectors. 3- To give ability to calculate the eigenvalues, eigenvactors of a matrix, and in terms of similarity transformation to teach the conditions in order to obtain the diagonal 4- To teach the relation between the eigenvalues and quadratic forms. 5- To teach Analytic Geometry applications of Linear Algebra concepts.
Course Description		Inner product spaces; standard inner product, orthogonal subspaces, orthogonal complement of a subspace, inner product, inner product spaces, normed space, Cauchy-Schwarz inequality, orthogonal basis, orthogonal matrices, Gram-Schmidt orthogonalization methods. Linear transformations; Definition of Linear transformation, Matrix Representations of Linear Transformations, Similarity. Eigenvalues and Eigenvectors; diagonalization, Cayley-Hamilton Theorem, quadratic forms, Conic sections, Quadratic surfaces
Course Outcomes		Students completing this course will be able to: I- Use the the concept of inner product, inner product space and otrhogonalization methods, II- Remember the basic subjects of linear transformations and learn the concept of eigenvalues and eigenvectors. III- Calculate the eigen values, eigen vactors of a matrix and in terms of similarity transformation, they can also learn the conditions and the method of calculations to obtain the diagonal or Jordan canonical form of a matrix, IV- Learn Analytic Geometry applications of Linear Algebra concepts.
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