MATHEMATICAL METHODS FOR PHYISICS
(objectives)
Provide the student with some mathematical tools, especially with regard to the theory of complex variable functions and the Fourier analysis, which are essential for the continuation of his training
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Code
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20401813 |
Language
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ITA |
Type of certificate
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Profit certificate
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Credits
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12
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Scientific Disciplinary Sector Code
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FIS/02
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Contact Hours
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68
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Exercise Hours
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34
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Type of Activity
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Core compulsory activities
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Teacher
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MELONI DAVIDE
(syllabus)
Section I: Complex variable functions
- Complex numbers - Analytic functions - Integration of complex functions - Power series - Integration using the Residue theorem - Asymptotic expansions - Distributions
Section II: Vector spaces and eigenvalue problems
- Vector spaces - Euclidean spaces - Eigenvalue problems in N and infinite-dimensional vector spaces - Function of a matrix - Fourier transform
Section III: Integral and differential operators
- Integral operators and integral equations - Sturm-Liouville operators - First order partial differential equations
(reference books)
C. Bernardini, O. Ragnisco and P.M. Santini Metodi matematici della Fisica, NIS 1993
B. Chabat, M. Lavrentiev Methodes de la Theorie des fonctions d'une variable complexe, MIR 1972
A. I. Markusevic Elementi di teoria delle funzioni analitiche, Editori Riuniti 1988
F. Bagarello Fisica Matematica, Zanichelli, 2007
P. A. Grassi Esercizi di metodi matematici, Casa Editrice Ambrosiana, 2018
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Dates of beginning and end of teaching activities
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From to |
Delivery mode
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Traditional
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Attendance
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not mandatory
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Evaluation methods
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Written test
Oral exam
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Teacher
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DEGRASSI GIUSEPPE
(syllabus)
Section I: Complex variable functions
- Complex numbers - Analytic functions - Integration of complex functions - Power series - Integration using the Residue theorem - Asymptotic expansions - Distributions
Section II: Vector spaces and eigenvalue problems
- Vector spaces - Euclidean spaces - Eigenvalue problems in N and infinite-dimensional vector spaces - Function of a matrix - Fourier transform
Section III: Integral and differential operators
- Integral operators and integral equations - Sturm-Liouville operators - First order partial differential equations
(reference books)
C. Bernardini, O. Ragnisco and P.M. Santini Metodi matematici della Fisica, NIS 1993
B. Chabat, M. Lavrentiev Methodes de la Theorie des fonctions d'une variable complexe, MIR 1972
A. I. Markusevic Elementi di teoria delle funzioni analitiche, Editori Riuniti 1988
F. Bagarello Fisica Matematica, Zanichelli, 2007
P. A. Grassi Esercizi di metodi matematici, Casa Editrice Ambrosiana, 2018
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Dates of beginning and end of teaching activities
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From to |
Delivery mode
|
Traditional
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Attendance
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not mandatory
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Evaluation methods
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Written test
Oral exam
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|
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