Yozgat Bozok 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
MAT579	MATRİS ANALİZİ I	Elective	1	2	6

Level of Course Unit

Second Cycle

Objectives of the Course

To give the classical and current results of matrix analysis which are known to be important in applied mathematics.

Name of Lecturer(s)

Prof.Dr.Mammad MUSTAFAYEV

Learning Outcomes

1	To recognize many new types of matrices.
2	To explain the new properties of matrix eigenvalues.
3	To analyze diagonal forms of matrices.
4	Explain the canonical forms of matrices.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Vector spaces, matrices and determinants, some special matrices, eigenvalues and eigenvectors, diagonalization, simultaneous diagonalization, family of commutative matrices, ünitary equivalence, the Schur theorem, consequences of Schur's theorem, canonic forms,the Jordan canonical form.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Vector spaces
2	Matrices and determinants
3	Some special matrices
4	Eigenvalues and eigenvectors
5	Applications
6	Diagonalization
7	Simultaneous diagonalization
8	Family of commutative matrices
9	Unitary equivalence
10	The Schur theorem
11	Consequences of Schur's theorem
12	Canonic forms
13	The Jordan canonical form
14	Applications

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	40	40
Final Examination	1	50	50
Makeup Examination	1	10	10
Attending Lectures	1	10	10
Individual Study for Mid term Examination	1	30	30
Individual Study for Final Examination	1	30	30
TOTAL WORKLOAD (hours)			170

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

LO3

LO4

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