Complex Analysis

Sequences And Series Of Functions: Uniform Convergence, Power Series. Analytic Functions: Power Series, Cauchy’s Integral Formula. Taylor And Laurent Series. Singularities. Residue Theorem And Applications. Conformal Mappings. Riemann Conformal Mapping Theorem. Harmonic Functions In The Plane.

References:
Ahlfors, L. – Complex Analysis. New York, Mcgraw-Will, 1966.
Cartan, H. – Theórie Élementaire Des Fonctions Analytiques D’une Ou Plusieurs Variables Complexes. Paris, Hermann, 1961.
Conway, J. B. – Functions Of One Complex Variable, Berlin, Springer-Verlag, 1978.
Knopp, K. – Theory Of Functions, Vol.2, New York, Dover, 1945.
Lima, E. L. – Curso De Análise. Vol. 2. Rio De Janeiro, Impa, Projeto Euclides, 1989.

* Standard program. The teacher has the autonomy to make any changes.