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
DUM4012022252		Compulsory	4	7	3

Level of Course Unit

First Cycle

Objectives of the Course

To develop the ability to think and to interpret correctly and to give people basic information about mathematics.

Name of Lecturer(s)

Learning Outcomes

1	Students who successfully complete this course will develop the right thinking and the ability to comment and students will gain basic knowledge about mathematics.
2	Matrices, determinants, eigenvalues and eigenvectors, inverse matrix.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

The concept of vector space. Vectors in the plane. Vectors in the space. Sub-vector space. Linear dependence and linear independence of a vector. Properties of vector space bases. Dimensions of the sub-spaces. Direct sum, total space and intersection space. Inner product, inner product spaces, orthonormal vector systems, Gram-Schmidt method, subspaces of spaces with inner product, orthogonal complement. Linear transformations, kernel and rank of a linear transformation. Matrices and matrix spaces.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	The concept of vector space
2	Vectors in the plane
3	Vectors in the space
4	Sub-vector space
5	Linear dependence and linear independence of a vector
6	Properties of vector space bases
7	Dimensions of the sub-spaces
8	Mid-term exam
9	Direct sum, total space and intersection space
10	Inner product, inner product spaces, orthonormal vector systems
11	Gram-Schmidt method
12	Subspaces of spaces with inner product, orthogonal complement
13	Linear transformations
14	Kernel and rank of a linear transformation
15	Final sınavı

Recommended or Required Reading

Schaum’s outlıne series Theory and problems LINEAR ALGEBRA Linear Algebra. Hofman KUNZE.

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)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	1	1
Attending Lectures	14	3	42
Self Study	10	2	20
Individual Study for Mid term Examination	2	3	6
Individual Study for Final Examination	2	3	6
TOTAL WORKLOAD (hours)			76

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10	PO 11	PO 12
LO1	5	4	4	4	5	3	3	4	4	5	3	4
LO2	5	4	5	4	3	4	5	5	4	3	2	3

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