Mathematics

Activity type

Formazione Teorica

SSD

MAT/05

Year

3rd year

Semester

2nd semester

CFU

3

Hours distribution

24 classroom hours

Lecturers

PAOLO PIAZZA

Activity type

Formazione Teorica

SSD

MAT/03

Year

3rd year

Semester

2nd semester

CFU

3

Hours distribution

24 classroom hours

Lecturers

PAOLO PIAZZA

General objectives: to acquire basic knowledge in the theory of a complex variable.

Specific objectives:

Knowledge and understanding: at the end of the course the student will have acquired the basic notions and results related to holomorphic and meromorphic functions, the problem of the calculation of residues and numerous applications, to the analysis of infinite products and some fundamental functions.

Apply knowledge and understanding: at the end of the course the student will be able to solve simple problems that require the use of techniques related to the complex variable; will be able to calculate improper integrals and to study some special examples of holomorphic and meromorphic functions.

Critical and judgmental skills: the student will have the bases to analyze the similarities and relationships between the topics covered and topics of analysis (acquired in the course of Analysis II) or geometry (which can be acquired in the course of Geometry II); will also acquire the tools that have historically led to the solution of classical problems.

Communication skills: ability to expose the contents in the oral part of the assessment and in any theoretical questions present in the written test.

Learning skills: the acquired knowledge will allow a study, individual or given in an LM course, related to more specialized aspects of the complex variable and the analytic number theory.

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