Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
MAT1041 Linear Algebra Spring 3 0 3 6
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction: English
Type of course: Non-Departmental Elective
Course Level: Bachelor’s Degree (First Cycle)
Mode of Delivery: Face to face
Course Coordinator : Instructor MAHMOUD JAFARI SHAH BELAGHI
Course Lecturer(s): Prof. Dr. SÜREYYA AKYÜZ
Recommended Optional Program Components: None
Course Objectives: To define matrix operations such as addition, multiplication, inversion and to prove some of related properties; To teach to solve a system of linear equations by using matrices; To give the definitions of a vector space, subspace, base and dimension and to prove some of related theorems; To introduce the notion of a linear map and the types of linear maps (such as injective, surjective and bijective); To teach the matrix representation of linear mappings and proving some of related properties; To construct the space of linear mappings and to give its structural properties; To define the transpose of a linear functional and to prove related properties.

Learning Outcomes

The students who have succeeded in this course;
1. Solve systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion.
2. Carry out matrix operations, including inverses and determinants.
3. Demonstrate understanding of the concepts of vector space and subspace.
4. Demonstrate understanding of linear independence, span, and basis.
5. Determine eigenvalues and eigenvectors and solve eigenvalue problems.
6. Apply principles of matrix algebra to linear transformations.

Course Content

Systems of linear equations, matrices; Vector spaces, subspaces, base and dimension, coordinate; Linear mappings, kernel and image subspaces; Matrix representations of linear mappings; Linear functional, transpose of a linear mapping. Eigenvalues and eigenvectors, diagonalization of matrices.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) - Introduction to Systems of Linear Equations - Gaussian Elimination and Gauss-Jordan Elimination
2) - Operations with Matrices - Properties of Matrix Operations
3) - The Inverse of a Matrix
4) - The Determinant of a Matrix - Evaluation of a Determinant Using Elementary Operations
5) - Properties of Determinants
6) - Vectors in R^n - Vector Spaces \ review.
7) - Subspaces of Vector Spaces - Spanning Sets and Linear Independence
8) - Basis and Dimension
9) - Rank of a Matrix and Systems of Linear Equations
10) - Introduction to Linear Transformations
11) - The Kernel and Range of a Linear Transformation
12) - Matrices for Linear Transformations - Transition Matrices and Similarity \ review.
13) - Eigenvalues and Eigenvectors - Diagonalization
14) - Symmetric Matrices and Orthogonal Diagonalization


Course Notes / Textbooks: Elementary Linear Algebra, Howard Anton, Wiley Publishing Co. (2000)
References: 1.Lang, S., "Linear Algebra", Addison-Wesley Publishing Company, (1968).
2.Hoffman, K. M., Kunze R. A., "Linear Algebra", Printice Hall, 2. edition, (1971).
3.Koç, C., "Basic Linear Algebra", Matematik Vakfı, (1995).
4. Lipschutz, S., "Linear Algebra, Schaum’s Outline Series", McGraw-Hill, Inc., (1974).
5.Kolman, B., Hill, D. R., "Introductory Algebra with Applications", Prentice Hall

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Midterms 2 % 60
Final 1 % 40
Total % 100
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 7 98
Midterms 2 2 4
Final 1 2 2
Total Workload 146

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
Program Outcomes Level of Contribution
1) To be able to critically interpret and discuss the theories, the concepts, the traditions, and the developments in the history of thought which are fundamental for the field of new media, journalism and communication.
2) To be able to attain written, oral and visual knowledge about technical equipment and software used in the process of news and the content production in new media, and to be able to acquire effective abilities to use them on a professional level.
3) To be able to get information about the institutional agents and generally about the sector operating in the field of new media, journalism and communication, and to be able to critically evaluate them.
4) To be able to comprehend the reactions of the readers, the listeners, the audiences and the users to the changing roles of media environments, and to be able to provide and circulate an original contents for them and to predict future trends.
5) To be able to apprehend the basic theories, the concepts and the thoughts related to neighbouring fields of new media and journalism in a critical manner.
6) To be able to grasp global and technological changes in the field of communication, and the relations due to with their effects on the local agents.
7) To be able to develop skills on gathering necessary data by using scientific methods, analyzing and circulating them in order to produce content.
8) To be able to develop acquired knowledge, skills and competence upon social aims by being legally and ethically responsible for a lifetime, and to be able to use them in order to provide social benefit.
9) To be able to operate collaborative projects with national/international colleagues in the field of new media, journalism and communication.
10) To be able to improve skills on creating works in various formats and which are qualified to be published on the prestigious national and international channels.