Ordu University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
FMA608	MATRIX ANALYSIS II	Compulsory	1	2	6

Level of Course Unit

Second Cycle

Objectives of the Course

• to gain the basic information necessary in the field of Matrix Analysis.

Name of Lecturer(s)

Doç. Dr. Selahattin MADEN

Learning Outcomes

1
2	Alanı ile ilgili ileri düzeyde alan bilgisine, becerisine sahip olmak ve bunu gerçek öğretim ortamlarında kullanmak
3	To have the ability and knowledge of the advanced level of related to the field and use it in real learning environments.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

• Hermitian matrices • Quadratic forms • Scalar-valued functions on matrices • Equivalence on row and linear systems • Structure of system solutions to AX = K • Equivalence, similarity, and eigenvalue problems • Diagonalization • Schur's theorem ve reduction of triangular shape • Cayley-Hamilton theorem • Minimal polynomial • Co-matrices • Gerschgorin theorem • The power method • Souriau-Frame method • Deflation of a matrix • The product of QR

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Hermitian matrices
2	• Quadratic forms
3	• Quadratic forms
4	• Scalar-valued functions on matrices
5	• Scalar-valued functions on matrices •
6	• Equivalence on row and linear systems
7	• Schur's theorem ve reduction of triangular shape •
8	•Mid exam •
9	• Structure of system solutions to AX = K •
10	• Cayley-Hamilton theorem •
11	• Minimal polynomial •
12	• Co-matrices •
13	• Gerschgorin theorem •
14	• The power method • Souriau-Frame method •
15	• Deflation of a matrix • The product of QR
16	Final Exam

Recommended or Required Reading

Roger A.Horn and Charles R.Johnson, Matrix Analysis, Cambridge University Press 1985.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
SUM		0
End Of Term (or Year) Learning Activities	Quantity	Weight
SUM		0
Yarıyıl (Yıl) İçi Etkinlikleri		40
Yarıyıl (Yıl) Sonu Etkinlikleri		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	3	3
Final Examination	1	3	3
Attending Lectures	15	3	45
Self Study	15	8	120
TOTAL WORKLOAD (hours)			171

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7
LO1
LO2	1
LO3

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High