Course Information

Course Name	Turkish	Matris Teori ve Uygulamaları
	English	Matrix Theory and Applications
Course Code	MAT 339E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	1	3	3	-	-
Course Language		English
Course Coordinator		Ulviye Ilgaz
Course Objectives		1-To give ability about coding and calculation of the matrices in MATLAB. 2-To teach the general knowledge about the matrix polynomials, 3-To teach the general knowledge about the matrix functions, 4-To give ability about the analytical calculation of the matrix functions, especially the matrices e^At and (sI-A)^-1, 5-To give ability to solve the system of differential equations in terms of matrix functions.
Course Description		Inner product on complex vector spaces, hermitian, unitary matrices, generalized eigenvectors, vector and matrix norms, computations in matlab. Matrix Polynomials; Elementary operations for matrix polynomials, equivalence, annihilating, characteristic, minimal and invariant polynomials. Normal Forms; the Smith canonical form, similarity, the first normal form, elementary divisors, the second normal form and Jordan canonical form. Functions of Matrices; Lagrange and Hermite interpolatory polynomials, definitions, properties and spectral solutions of functions of matrices, solutions of the system of differantial equations by matrix fuctions.
Course Outcomes		Students completing this course will be able to : 1- Learn the inner product on complex vector spaces, properties of hermitian and unitary matrices, 2-Calculations of the generalized eigenvectors, vector and matrix norms, 3-To write matlab code for the computation of the matrices. 4-Learn the general concepts about the matrix polynomials and functions. 5-Solve the system of differential equations by means of matrix functions,
Pre-requisite(s)		None
Required Facilities
Other
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