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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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Introduction to complex numbers
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R1- Chapter 1.1
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2
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Construction of complex numbers
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R1- Chapter 1.1
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3
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Some geometric properties of complex numbers
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R1- Chapter 1.1
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4
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Algebraic operations in complex numbers
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R1- Chapter 1.2
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5
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Some properties of algebraic operations in complex numbers
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R1- Chapter 1.2
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6
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Topological properties of complex plane
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R1- Chapter 1.3
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7
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Some applications of topological properties of complex plane
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R1- Chapter 1.3
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8
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Introduction to complex sequences
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R1- Chapter 1.4
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9
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Applications of complex sequences
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R1- Chapter 1.4
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10
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Complex Cauchy sequence, convergence
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R1- Chapter1.4
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11
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Introduction to complex functions
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R1- Chapter 1.5
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12
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Standard representation of complex functions
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R1- Chapter 1.5
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13
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Introduction to analytic functions
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R1- Chapter 1.6
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14
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Some examples of analytic functions
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R1- Chapter 1.6
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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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Prof. Dr. Faruk POLAT
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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. Brown, J. W and Churchill R. V. (2003). Complex variables and applications (7th edition). McGraw-Hill Company, New York.
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Supplementary Book
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SR1. Bak, J. and Newman, D.J. (1997). Complex Analysis (3rd edition). Springer, Berlin.
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Goals
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To teach some algebraic, geometric and topological properties of complex numbers.
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Content
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Alegbraic, geometric and topological properties of complex nembers, complex sequences, convergence of complex sequences, analytic functions.
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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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-
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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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3
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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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-
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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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-
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