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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
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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
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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
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R1) Lecture notes
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10
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Reflection principal
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R1) Lecture notes
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11
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Poles, zeros and related theorems
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R1) Lecture notes
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12
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Argument theorem, their results and applications
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R1) Lecture notes
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13
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Riemann surfaces
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R1) Lecture notes
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14
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Some of special Riemann surfaces and certain applications
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R1) Lecture notes
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