2 Hours/Week, 2 Credits

Complex numbers: Definition of complex numbers and their properties. De-Moivreís theorem (for integral and rational exponents) and its applications. Inequalities: Cauchy, Chebyshev and Jensenís inequality. Theory of equations: Polynomials, division algorithm, fundamental theorem of algebra, multiplicity of roots, relation between roots and coefficients of algebraic equations, Descartes rule of signs.