MTH 640 Complex Analysis

Arithmetic of Complex numbers. DeMoivre’s theorem. Roots and Powers of complex numbers. Functions of a complex variable. Limits and continuity. Cauchy-Riemann equations. Exponential, trigonometric, hyperbolic and logarithmic functions. Analytic functions. Integration in the complex plane. Residue theorem. Applications. Lect: 3 hrs./Lab: 1 hr. Prerequisites: MTH 312 or MTH 330 or MTH 425 Course Weight: 1.00 Billing Units: 1

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