Print Content

Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
LINEAR ALGEBRA I	MAT119	1. Semester	2 + 2	3.0	5.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Bachelor's Degree
Course Type	Compulsory
Mode of delivery	Lecturing, questions-answers, discussions and solving exercises.
Course Coordinator
Instructors	İsmail GÖK
Assistants
Goals	The aim of this course is to present the fundamentals of linear algebra in the clearest possible way.
Course Content	System of linear equations and elimination method, matrices and matrix operations, determinant and properties of the determinant, vectors in 2-space and 3-space, inner product space, cross product, vector spaces and subspace, linear independence, basis and dimension, linear transformations, orthonormal bases,Gram-Schmidt method Linear transformations, kernel and range Matrices of linear transformation, eigenvalues, eigenvector, diagonalization and its applications , conics and its applications
Learning Outcomes	1) Learn vector spaces, sub-vector spaces. 2) Student gets a general perspective about solving systems of linear equations 3) Student learns matrix arithmetic and learns, compared to manual calculations, how easy the computers make these computations 4) L0earn the conception of the vectors in the plane, the equation of the plane. 5) Examines space vectors, linear dependence and indepences of vectors. 6) Student learns the notion of vector in 2-space and 3-space, and therefore understands how the general vector space notion is defined 7) Student learns about finite dimensional vector spaces. 8) Learn vector spaces base and their properties,dimensions of subspaces and their applications. 9) Learn direct sum, sum space and intersection space. 10) By learning inner product spaces, student learns how to make geometrical calculations in a real vector space. 11) Student gets a perspective of linear transformation. 12) Learn the concepts of inner product and inner product spaces and orthonormal vector system. 13) Learn linear transformations and finding the matrices which corresponding to them. 14) Student learns about eigenvalues, eigenspaces and therefore learns how to diagonalize a diagonizable square matrix 15) Student learns about the applications to differential equations and to approximation problems. 16) Examines determinates and their application.