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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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Certain basic foreknowledge, introduction to elementer complex functions
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R1) Lecture Notes
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2
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Derivatives of elementer complex functions and related theorems
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R1) Lecture Notes
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3
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Analytic functions and their derivatives
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R1) Lecture Notes
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4
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Cauchy-Riemann equations and their applications
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R1) Lecture Notes
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5
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Harmonic functions, w(t) curves in complex plane, countours, domains
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R1) Lecture Notes
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6
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Concept of complex integral, basic definitions, related theorems
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R1) Lecture Notes
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7
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Cauchy Goursat theorem, related theorem, certain applications
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R1) Lecture Notes
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8
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Cauchy Integral formulas, related theorems and applications
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R1) Lecture Notes
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9
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Morera theorem
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R1) Lecture Notes
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10
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Maksimum modulus theorem, Liouville theorem and fundemental theorem of algebra Goursat theorem and related results
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R1) Lecture Notes
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11
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Taylor and Laurent Series
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R1) Lecture Notes
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12
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Zeros and poles of analytic functions, residue and related theorems
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R1) Lecture Notes
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13
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Residues and related theorems, concepts of improper integrals
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R1) Lecture Notes
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14
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Some applications of improper integrals
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R1) Lecture Notes
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