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Prerequisites
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Language of Instruction
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Turkish
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Responsible
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Dr. Harun Baldemir
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Instructors
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Assistants
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Resources
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R1 - Fausett, L. V. (2007). Applied numerical analysis using MATLAB. Prentice-Hall, Inc.
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Supplementary Book
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SB1 - Cheney, E. W., & Kincaid, D. R. (2012). Numerical mathematics and computing. Cengage Learning.
SB2 - Heath, M. T. (2018). Scientific Computing: An Introductory Survey, Revised Second Edition. Society for Industrial and Applied Mathematics.
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Goals
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The goal of this course is to provide the students with a strong background on numerical methods and approximation techniques.
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Content
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Solving Linear Systems and Nonlinear Systems, LU and QR Factorization, Eigenvalues and Eigenvectors, Interpolation, Least-Squares Approximation and Taylor Approximation, Fourier Methods, Numerical Differentiation and Integration
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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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4
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2
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Ability of abstract thinking
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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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4
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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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3
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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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6
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Ability to work harmoniously and effectively in national or international teams and take responsibility
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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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4
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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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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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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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11
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Being able to produce projects and organize events with social responsibility awareness
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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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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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14
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Being conscious of acting in accordance with social, scientific, cultural and ethical values
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