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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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Some foreknowledge
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R1) Lecture notes
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2
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Linear functions, 1/z functions
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R1) Lecture notes
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3
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Linear and rational transformations
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R1) Lecture notes
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4
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Certain special linear rational transformations
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R1) Lecture notes
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5
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Z^2 , z^1/2 and certain irrational functions
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R1) Lecture notes
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6
|
w=exp(z) and w=sin(z) transformations
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R1) Lecture notes
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7
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Conform transformations, related theorems and some of their properties
|
R1) Lecture notes
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8
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Harmonic functions, their conjugates, some of related transformations
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R1) Lecture notes
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9
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Analytic continuous and related theorems
|
R1) Lecture notes
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|
10
|
Reflection principal
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R1) Lecture notes
|
|
11
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Poles, zeros and related theorems
|
R1) Lecture notes
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|
12
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Argument theorem, their results and applications
|
R1) Lecture notes
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|
13
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Riemann surfaces
|
R1) Lecture notes
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|
14
|
Some of special Riemann surfaces and certain applications
|
R1) Lecture notes
|
|
Program Learning Outcomes |
Level of Contribution |
|
1
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Having advanced theoretical and applied knowledge in the basic areas of mathematics
|
3
|
|
2
|
Ability of abstract thinking
|
4
|
|
3
|
To be able to use the acquired mathematical knowledge in the process of defining, analyzing and separating the problem encountered into solution stages.
|
4
|
|
4
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Associating mathematical achievements with different disciplines and applying them in real life
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-
|
|
5
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Ability to work independently in a problem or project that requires knowledge of mathematics
|
-
|
|
6
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Ability to work harmoniously and effectively in national or international teams and take responsibility
|
-
|
|
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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-
|
|
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.
|
-
|
|
9
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To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time
|
-
|
|
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.
|
-
|
|
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
|
-
|
|
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
|
-
|
|
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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