After successful completion of the course, students are able to explain and apply the basic concepts of complex analysis. In particular, they are able
Complex differentiation, Cauchy's theorem, isolated singularities, calculus of residues with applications, conformal mappings, Riemannian mapping theorem.
Mathematical definitions and proofs
Written exam with problems similar to the problems in the recitation class and questions on definitions, theorems and proofs. Oral exam with questions on definitions, theorems and proofs.
Not necessary
Basic knowlegde of analysis