Faculty of Engineering

    Complex numbers, Polar representation, Complex arithmetic and algebra , Sequences and series of complex numbers,  Complex functions, Limits and continuity, Derivatives and the Cauchy-Riemann equations, Harmonic functions,  Elementary analytic functions, Line integrals,  Cauchy's theorem and formula, Liouville's theorem and the fundamental theorem of algebra, Taylor and Laurent series, The Residue theorem and computation of real integrals, Introduction to conformal mapping.