Fundamentals of Complex Variables

(2 Credits)

The course covers functions of a complex variable. The topics covered are: derivatives and Cauchy- Riemann equations, Integrals and Cauchy integral theorem, harmonic functions, the exponential function, trigonometric functions, logarithmic functions, Contour integrals, anti-derivatives, Cauchy-Goursat theorem, Cauchy integral formula, Liouville's theorem, fundamental theorem of algebra, power and Laurent series, and residue theory.