Weeks | Topics |
1 |
Cauchy –Goursat theorem, simple and multiply connected domains ,
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2 |
Cauchy integral formula, derivatives of analtyic functions,
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3 |
Liouville s theorem and the fundamental theorem of algebra, maximum modul of functions ,convergence of sequences and series,
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4 |
Taylor series
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5 |
Laurent series
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6 |
Absolute and uniform convergence of pover series ,
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7 |
Absolute and uniform convergence of pover series
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8 |
Integration and differentiation of pover series,unıqueness of series representations
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9 |
Midterm
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10 |
Zeros of the analytic functions ,residues, residue theorems
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11 |
Three types of isolated singular points ,residues at poles ,zeros and poles of m th order
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12 |
Evaluation of improper integrals
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13 |
Improper integrals involving sines and cosines ,definite integrals involving sines and cosines
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14 |
Evaluation of sum of some series with residues, logarithmic residues argument principle and Rouches theorem,Conformal mapping.
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