Module page
VARIABILE COMPLESSA
| academic year: | 2013/2014 |
| instructor: | Domenico Fiorenza |
| degree course: | Mathematics - DM 270/04 (triennale), III year |
| type of training activity: | caratterizzante |
| credits: | 6 (48 class hours) |
| scientific sector: | MAT/05 Analisi Matematica |
| teaching language: | italiano |
| period: | II sem (03/03/2014 - 13/06/2014) |
Lecture meeting time and location
Presence: highly recommended
Module subject:
Functions of one complex variable, Cauchy-Riemann conditions, series of analytic functions, Cauchy theorem, power series, zeroes, analytic continuation, Riemann surface, Laurent series, singularities,
residues, conformal mappings
Suggested reading:
Taylor: Complex variables
Ahlfors: Complex analysis
Conway: Functions of one complex variable
Rudin: Real and complex analysis
Freitag, Busam: Complex analysis
Lang: Complex analysis
Type of course: standard
Knowledge and understanding:
Successful students will be able to deal with topics concerning basic complex analysis and get familiar with fundamental ideas for functions of one complex variable such as the Cauchy integral, analytic functions, residues, conformal mapping.
Skills and attributes:
Successful students will be able to solve problems concerning required knowledge.
Personal study: the percentage of personal study required by this course is the 65% of the total.