Course Content |
This course covers complex numbers and its basic properties ,topology of the complex plane ,sequence and series of complex numbers, complex valued functions and its basic properties , limit and continuity of the complex valued functions, complex differentationof the complex valued functions ,Cauchy-Riemann's equations , complex exponential ,complex power ,complex logarithmic and complex trigonometric functions , analytic and harmonic functions , integration of complex valued functions , Cauchy's integral theorem and Cauchy's integral ,the derivative of Cauchy formula and applications , Liouville's theorem ,Cauchy's inequality,esential theorem of algebra,Singularities, zeros and poles ,complex power series ,complex Taylor and Mac-Laurin series and Laurent series,classification of the singular points, residues,residue theorem and applications , conform tranformations .
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