Courses

Complex Level Algebra, nth root, definition of exponential and branches of logarithm. Topology of the Complex Level (open, connected, sequences, series, continuous functions). Holomorphic Functions (definition, Cauchy-Riemann conditions, properties and examples). Complex Integration. Cauchy's Theorem for triangles, Cauchy's formula for simple closed curves and applications (Taylor expansion, integral calculus, Liouville's Theorem, etc.), Cauchy's formula in a ring and applications (isolated anomalies, Laurent expansion, calculus of curves and real integrals). Information: Renaming of the Course "Theory of Complex Functions" in the Academic Year 2018-19.