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

Ders Genel Tanıtım Bilgileri

Course Code:

MAT1041

Ders İsmi:

Linear Algebra

Ders Yarıyılı:

Spring
Fall

Ders Kredileri:

Theoretical	Practical	Credit	ECTS
3	0	3	6

Language of instruction:

English

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Type of course:

Non-Departmental Elective

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Instructor MAHMOUD JAFARI SHAH BELAGHI

Course Lecturer(s):

Course Assistants:

Dersin Amaç ve İçeriği

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.

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.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
2 - Skills
Cognitive - Practical
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

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

Sources

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

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları
Program Outcomes
1) They acquire theoretical, historical and aesthetic knowledge specific to their field by using methods and techniques related to performing arts (acting, dance, music, etc.).
2) They have knowledge about art culture and aesthetics and they provide the unity of theory and practice in their field.
3) They are aware of national and international values in performing arts.
4) Abstract and concrete concepts of performing arts; can transform it into creative thinking, innovative and original works.
5) They have the sensitivity to run a business successfully in their field.
6) Develops the ability to perceive, think, design and implement multidimensional from local to universal.
7) They have knowledge about the disciplines that the performing arts field is related to and can evaluate the interaction of the sub-disciplines within their field.
8) They develop the ability to perceive, design, and apply multidimensionality by having knowledge about artistic criticism methods.
9) They can share original works related to their field with the society and evaluate their results and question their own work by using critical methods.
10) They follow English language resources related to their field and can communicate with foreign colleagues in their field.
11) By becoming aware of national and international values in the field of performing arts, they can transform abstract and concrete concepts into creative thinking, innovative and original works.
12) They can produce original works within the framework of an interdisciplinary understanding of art.
13) Within the framework of the Performing Arts Program and the units within it, they become individuals who are equipped to take part in the universal platform in their field.
14) Within the Performing Arts Program, according to the field of study; have competent technical knowledge in the field of acting and musical theater.
15) They use information and communication technologies together with computer software that is at least at the Advanced Level of the European Computer Use License as required by the field.

Ders - Öğrenme Kazanımı İlişkisi

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	They acquire theoretical, historical and aesthetic knowledge specific to their field by using methods and techniques related to performing arts (acting, dance, music, etc.).	2
2)	They have knowledge about art culture and aesthetics and they provide the unity of theory and practice in their field.	2
3)	They are aware of national and international values in performing arts.	2
4)	Abstract and concrete concepts of performing arts; can transform it into creative thinking, innovative and original works.	1
5)	They have the sensitivity to run a business successfully in their field.	3
6)	Develops the ability to perceive, think, design and implement multidimensional from local to universal.	3
7)	They have knowledge about the disciplines that the performing arts field is related to and can evaluate the interaction of the sub-disciplines within their field.	2
8)	They develop the ability to perceive, design, and apply multidimensionality by having knowledge about artistic criticism methods.	3
9)	They can share original works related to their field with the society and evaluate their results and question their own work by using critical methods.	1
10)	They follow English language resources related to their field and can communicate with foreign colleagues in their field.	1
11)	By becoming aware of national and international values in the field of performing arts, they can transform abstract and concrete concepts into creative thinking, innovative and original works.	3
12)	They can produce original works within the framework of an interdisciplinary understanding of art.	2
13)	Within the framework of the Performing Arts Program and the units within it, they become individuals who are equipped to take part in the universal platform in their field.	3
14)	Within the Performing Arts Program, according to the field of study; have competent technical knowledge in the field of acting and musical theater.	2
15)	They use information and communication technologies together with computer software that is at least at the Advanced Level of the European Computer Use License as required by the field.	3

Öğrenme Etkinliği ve Öğretme Yöntemleri

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	2	% 60
Final	1	% 40
Total		% 100
PERCENTAGE OF SEMESTER WORK		% 60
PERCENTAGE OF FINAL WORK		% 40
Total		% 100

İş Yükü ve AKTS Kredisi Hesaplaması

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