PERFORMING ARTS | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MAT1041 | ||||||||
Ders İsmi: | Linear Algebra | ||||||||
Ders Yarıyılı: |
Spring Fall |
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Ders Kredileri: |
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Language of instruction: | English | ||||||||
Ders Koşulu: | |||||||||
Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||
Type of course: | Non-Departmental Elective | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Instructor MAHMOUD JAFARI SHAH BELAGHI | ||||||||
Course Lecturer(s): | |||||||||
Course Assistants: |
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. |
The students who have succeeded in this course;
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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 |
Ders Öğrenme Kazanımları | ||||||||||||||
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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. |
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 |
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 |
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 |