Courses Code: MTS 321

Course Title: COMPLEX ANALYSIS I

Number of unit : 3 UNITS

Course Duration:

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Office Lecturer: College of Natural Science, Department of Mathematical Science

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COURSE SYNOPSIS
PRQT MTS 223 OR MTS 212
Function of a complex variable. Limits and continuity of function of a complex variable, analytic functions, complex integrations, Cauchy’s integral. Derivative theorems. Taylor’s and Laurent’s theorems. Classification of singularities. Convergence of sequence and series of complex functions (including power series and characterization of analytic functions by power series). Isolated singularities and residues. Residuce theorem. Rouche principle. Argument principle of theorem. The fundamental theorem of algebra. Principle of analytic continuation. Multiple valued functions and Riemann surfaces.

MTS 321 – COMPLEX ANALYSIS I