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COMPLEMENTS OF COMPLEX ANALYSIS

CODE 106979
ACADEMIC YEAR 2021/2022
CREDITS
  • 5 cfu during the 1st year of 9011 MATEMATICA(LM-40) - GENOVA
  • 5 cfu during the 2nd year of 9011 MATEMATICA(LM-40) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/05
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 1° Semester
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The class is devoted to a more advanced study of functions of a complex variable, proving important theorems such as those of Picard, Riemann and Hadamard.

    AIMS AND CONTENT

    LEARNING OUTCOMES

    The goal of the class is that of showing the main properties of functions of a complex variable.

    AIMS AND LEARNING OUTCOMES

    The goal of the class is that of showing the main properties of functions of a complex variable, with particular attention on their zeros and on the values they can take. In particular, we shall see that these have to satisfy several rigidity properties.

    PREREQUISITES

    Analisi Complessa

    TEACHING METHODS

    Traditional

    SYLLABUS/CONTENT

    Picard's theorem, Riemann mapping's theorem and the main proprties of functions of finite order. If time will allow, we'll study with more detail the Gamma function.

     

    RECOMMENDED READING/BIBLIOGRAPHY

    Carlo Viola - An Introduction to Special Functions

    More material will be also provided in Aulaweb.

    TEACHERS AND EXAM BOARD

    Exam Board

    SANDRO BETTIN (President)

    MARC ALEXANDRE MUNSCH

    ALBERTO PERELLI (President Substitute)

    LESSONS

    LESSONS START

    Around the beginning of November, as indicated in the academic calendar.

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    EXAM DESCRIPTION

    Oral exam

    ASSESSMENT METHODS

    Oral exam on the program