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Week
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Topics
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Study Metarials
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1
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Systems of Linear Equations
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R1-Section 1.1
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2
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Matrices and Matrix Operations
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R1- Section 1.2-1.3
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3
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Algebraic Properties of Matrix Operations
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R1-Section 1.4
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4
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Special Types of Matrices and Partitioned Matrices
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R1-Section 1.5-1.6
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5
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Echelon Form of a Matrix
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R1-Section 2.1
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6
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Solving Linear Systems
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R1-Section 2.2
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7
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Elementary Matrices; Finding inverse of a matrix
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R1-Section 2.3
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8
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Equivalent Matrices
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R1- Section 2.4
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9
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Permutation functions and Determinants
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R1-Section 3.1
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10
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Properties of Determinants
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R1-Section 3.2
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11
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Cofactor Expansion and Inverse of a Matrix
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R1-Section 3.3-3.4
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12
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Vector Spaces and Subspaces
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R1-Section 4.2-4.3
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13
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Span and Linear Independence
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R1-Section 4.4-4.5
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14
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Basis and Dimension
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R1-Section 4.6
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Prerequisites
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-
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Language of Instruction
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English
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Responsible
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Assoc. Prof. Dr. Faruk KARAASLAN
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Instructors
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-
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Assistants
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-
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Resources
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R1. Kolman, B. D., Hil R. (2004). Elementary Linear Algebra with Applications and Labs, 8th Edition, l, Prentice-Hall, New Jersey.
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Supplementary Book
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SR1. Blyth T. S., Robertson, E. F. (2002). Basic Linear Algebra, Second Edition, Springer.
SR2. Hoffman, K., Kunze R. (1971) Linear Algebra, 2nd Edition, Prentice-Hall, New Jersey.
SR3. Spence, L., Insel, A. and Friedberg, S. (2000). Elementary Linear Algebra A Matrix Approach. Pearson I.E. (2nd Edition)
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Goals
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To teach in detail the basic concepts of linear algebra such as linear equations, matrices, systems of linear equations, determinants and vector spaces, and the properties of these concepts.
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Content
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Linear equations, matrices, solutions of linear equation systems, determinants, vector spaces and subspaces
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Program Learning Outcomes |
Level of Contribution |
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1
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Having advanced theoretical and applied knowledge in the basic areas of mathematics
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3
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2
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Ability of abstract thinking
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3
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3
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To be able to use the acquired mathematical knowledge in the process of defining, analyzing and separating the problem encountered into solution stages.
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3
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4
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Associating mathematical achievements with different disciplines and applying them in real life
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-
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5
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Ability to work independently in a problem or project that requires knowledge of mathematics
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-
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6
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Ability to work harmoniously and effectively in national or international teams and take responsibility
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-
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7
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Having the skills to critically evaluate and advance the knowledge gained from different areas of mathematics
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-
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8
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To be able to determine what kind of knowledge learning the problem faced and to direct this knowledge learning process.
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2
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9
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To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time
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-
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10
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Ability to verbally and in writing convey thoughts on mathematical issues, and solution proposals to problems, to experts or non-experts.
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-
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11
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Being able to produce projects and organize events with social responsibility awareness
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-
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12
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Being able to follow publications in the field of mathematics and exchange information with colleagues by using a foreign language at least at the European Language Portfolio B1 General Level
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-
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13
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Ability to use computer software (at least at the Advanced Level of European Computer Use License), information and communication technologies for solving mathematical problems, transferring ideas and results
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-
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14
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Being conscious of acting in accordance with social, scientific, cultural and ethical values
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