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
FMA649	ADVANCED LINEAR ALGEBRA I	Compulsory	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

The aim of the course is to learn the basic concepts of advanced linear algebra is to be ready to scientific studies.

Name of Lecturer(s)

Yrd. Doç. Dr. Süleyman ŞENYURT

Learning Outcomes

1	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

• Multi-linear transformations • The dual vector space • Adjoint of a transformation • Dual of the inner product space • Matrix polynomials • Quadratic forms • Hermitian transformations and Hermitian matrices • Unitary transformations and unitary matrices • Self adjoint transformations • Invariant subspaces • Normal mapping and normal matrices

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Multi-linear transformations
2	The dual vector space
3	Adjoint of a transformation
4	Dual of the inner product space
5	Matrix polynomials
6	Quadratic forms
7	Hermitian transformations and Hermitian matrices
8	Midterm exam
9	Unitary transformations and unitary matrices
10	Unitary transformations and unitary matrices
11	Self adjoint transformations
12	Invariant subspaces
13	Normal mapping and normal matrices
14	Systems of Linear Equations, Generalized inverses of matrices
15	Systems of Linear Equations, Generalized inverses of matrices
16	Final exam

Recommended or Required Reading

Lang, S. (1966), Linear Algebra, Addson Wesley. Taşcı, D. (1999), Linear Cebir, Selün Vakfı. Hadley,G. (1961), Linear Algebra, Addson Wesley.

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	2	2
Final Examination	1	2	2
Makeup Examination	1	2	2
Attending Lectures	16	5	80
Problem Solving	10	5	50
Self Study	10	4	40
Individual Study for Mid term Examination	6	5	30
Individual Study for Final Examination	4	5	20
TOTAL WORKLOAD (hours)			226

Contribution of Learning Outcomes to Programme Outcomes

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

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