Information Of Programmes

INSTITUTE OF SCIENCE / MAT527 - MATHEMATICS

Code: MAT527

Course Title: MATRIX ANALYSIS I

Theoretical+Practice: 3+0

ECTS: 6

Year/Semester of Study

1 / Fall Semester

Level of Course

2nd Cycle Degree Programme

Type of Course

Optional

Department

MATHEMATICS

Pre-requisities and Co-requisites

None

Mode of Delivery

Face to Face

Teaching Period

14 Weeks

Name of Lecturer

SEZER SORGUN (ssorgun@nevsehir.edu.tr)

Name of Lecturer(s)

Language of Instruction

Turkish

Work Placement(s)

None

Objectives of the Course

To teach the given subjects and gain the ability to interpret course thus mathematics.

Learning Outcomes		PO	MME
The students who succeeded in this course:
LO-1	Can learn the concept of matrices and eigenvalues.	PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems.	Examination
LO-2	Can attain scientific knowledge and study as independent.	PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems.	Performance Project Term Paper
LO-3	Can realize the properties of Hermitian and Symmetric.	PO-3 Mathematics, natural sciences and their branches in these areas and related issues has sufficient infrastructure solutions for the problems of theoretical and practical uses of mathematics.	Examination
PO: Programme Outcomes MME:Method of measurement & Evaluation

Course Contents
Matrix algebra, Eigenvalues and eigenvectors, Unitary Equivalence and Normal matrices, Schur’s unitary triangularization theorem, QR algorithm, Canonical forms and some applications, Hermitian and symmetric matrices, Variational characterizations, Congruence and simultaneous diagonalization.
Weekly Course Content
Week	Subject	Learning Activities and Teaching Methods
1	Matrix Algebra	Teaching of Topic and Applications
2	Matrix Algebra	Teaching of Topic and Applications
3	Eigenvalues and Eigenvectors	Teaching of Topic and Applications
4	Eigenvalues and Eigenvectors	Teaching of Topic and Applications
5	Unitary Equivalence and Normal Matrices	Teaching of Topic and Applications
6	QR Algorithm, Unitary Triangularization Theorem	Teaching of Topic and Applications
7	Canonical forms	Teaching of Topic and Applications
8	mid-term exam
9	Jordan Canonical Forms and Some Applications	Teaching of Topic and Applications
10	Hermitian and Symmetric Matrices	Teaching of Topic and Applications
11	Hermitian and Symmetric Matrices	Teaching of Topic and Applications
12	Variational Characterizations of Eigenvalues of Hermitian Matrices.	Teaching of Topic and Applications
13	Some Applications of Variational Characterizations.	Teaching of Topic and Applications
14	Congruence and Simultaneous Diagonalization.	Teaching of Topic and Applications
15	Congruence and Simultaneous Diagonalization.	Teaching of Topic and Applications
16	final exam
Recommend Course Book / Supplementary Book/Reading
1	Horn R. A. (1985), Matrix analysis, Cambridge University Press
2	Bronson R. (1989), Matris İşlemleri (Tercüme),Nobel Yayın Dağıtım
3	Serre D. (2010), Matrices: Theory and Applications (Graduate Texts in Mathem atics), Springer (2.Edition)
Required Course instruments and materials
The books of lecture

Assessment Methods
Type of Assessment	Week	Hours	Weight(%)
mid-term exam	8	2	30
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project	7	2	10
8.Term Paper	14	2	10
9.Project
final exam	16	2	50

Student Work Load
Type of Work	Weekly Hours	Number of Weeks	Work Load
Weekly Course Hours (Theoretical+Practice)	3	14	42
Outside Class
a) Reading	2	14	28
b) Search in internet/Library	2	14	28
c) Performance Project	3	7	21
d) Prepare a workshop/Presentation/Report			0
e) Term paper/Project	3	7	21
Oral Examination			0
Quiz			0
Laboratory exam			0
Own study for mid-term exam	3	8	24
mid-term exam	2	1	2
Own study for final exam	3	8	24
final exam	2	1	2
			0
			0
Total work load;			192