POLITICAL SCIENCE AND INTERNATIONAL RELATIONS | |||||
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) Grasp basic theoretical and conceptual knowledge about the field and relations between them at the level of practice. | |||||||||||
2) Possess basic knowledge about the causes and effects of political transformations in societies. | |||||||||||
3) Possess knowledge about quantitative, qualitative and mixed research methods in social and behavioral sciences. | |||||||||||
4) Recognize historical patterns while evaluating contemporary political and social developments. | |||||||||||
5) Demonstrate interdisciplinary and critical approach while analyzing, synthesizing and forecasting domestic and foreign policy. | |||||||||||
6) Conduct studies in the field professionally, both independently or as a team member. | |||||||||||
7) Possess consciousness about lifelong learning based on Research & Development. | |||||||||||
8) Communicate with peers both orally and in writing, by using a foreign language at least at a level of European Language Portfolio B1 General Level and the necessary informatics and communication technologies. | |||||||||||
9) Apply field-related knowledge and competences into career advancement, projects for sustainable development goals, and social responsibility initiatives. | |||||||||||
10) Possess the habit to monitor domestic and foreign policy agenda as well as international developments. | |||||||||||
11) Possess competence to interpret the new political actors, theories and concepts in a global era. | |||||||||||
12) Evaluate the legal and ethical implications of advanced technologies on politics. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Grasp basic theoretical and conceptual knowledge about the field and relations between them at the level of practice. | |
2) | Possess basic knowledge about the causes and effects of political transformations in societies. | |
3) | Possess knowledge about quantitative, qualitative and mixed research methods in social and behavioral sciences. | |
4) | Recognize historical patterns while evaluating contemporary political and social developments. | |
5) | Demonstrate interdisciplinary and critical approach while analyzing, synthesizing and forecasting domestic and foreign policy. | |
6) | Conduct studies in the field professionally, both independently or as a team member. | |
7) | Possess consciousness about lifelong learning based on Research & Development. | |
8) | Communicate with peers both orally and in writing, by using a foreign language at least at a level of European Language Portfolio B1 General Level and the necessary informatics and communication technologies. | |
9) | Apply field-related knowledge and competences into career advancement, projects for sustainable development goals, and social responsibility initiatives. | |
10) | Possess the habit to monitor domestic and foreign policy agenda as well as international developments. | |
11) | Possess competence to interpret the new political actors, theories and concepts in a global era. | |
12) | Evaluate the legal and ethical implications of advanced technologies on politics. |
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 |