Enrollment year
2020/2021
Academic discipline
MAT/05 (MATHEMATICAL ANALYSIS)
Department
DEPARTMENT OF PHYSICS
Curriculum
PERCORSO COMUNE
Period
1st semester (29/09/2021 - 19/01/2022)
Lesson hours
60 lesson hours
Activity type
WRITTEN AND ORAL TEST
Prerequisites
The basics of the courses Analisi Mstematica 1, Complementi di Analisi Matematica 1 and Algebra Lineare of the first year.
Learning outcomes
The aim of the course is to integrate the program of Mathematical Analysis of the first year and complete the basic knowledges of mathematical analysis for students of a bachelor degree in Physics.
Course contents
-Sequences and series of functions:
power series, Fourier series.
-Differential Equations: results on existence, uniqueness, extension and comparison.
Linear differential systems and equations.
-Lebesgue Theory.
Measure Theory, Lebesgue Integral. Limit Theorems (Monotone Convergenge, Dominated Convergence and Fatou's Lemma)
For each topic, the theory will be complemented with a number of examples and exercises.
Teaching methods
Lectures.
Reccomended or required readings
N. Fusco, P. Marcellini and C. Sbordone, Elements of Mathematics two - Liguori, 2001
Alternatively
Lezioni di analisi matematica vol.2 di Giovanni Prodi (Boringhieri)
Analisi matematica 2 di Carlo D. Pagani e Sandro Salsa (Zanichelli)
Sandro Salsa, Annamaria Squellati Esercizi di Analisi Matematica 2
G. Gilardi, Analisi matematica di base - McGraw Hill, 2011;
in addition to the educational resources available on kiro.
Assessment methods
The exam consists of a written test and of an oral examination on the arguments specified in the program.
Sustainable development goals - Agenda 2030