Mathematical analysis 2 (2014/2015)

Course code
4S00031
Credits
12
Coordinator
Sisto Baldo
Academic sector
MAT/05 - MATHEMATICAL ANALYSIS
Language of instruction
Italian
Teaching is organised as follows:
Activity Credits Period Academic staff
Teoria 3 I sem. Sisto Baldo
Teoria 1 6 I sem. Giandomenico Orlandi
Esercitazioni 3 I sem. Antonio Marigonda

Lesson timetable

I sem.
Activity Day Time Type Place Note
Teoria Monday 1:30 PM - 3:30 PM lesson Lecture Hall E  
Teoria Wednesday 2:30 PM - 4:30 PM lesson Lecture Hall E  
Teoria Thursday 3:30 PM - 5:30 PM lesson Lecture Hall E  
Teoria Friday 1:30 PM - 3:30 PM lesson Lecture Hall E  
Esercitazioni Monday 3:30 PM - 4:30 PM lesson Lecture Hall E  

Learning outcomes

Topics treated in this course are: Calculus for functions of several variables, sequences and series of functions, ordinary differential equations, Lebesgue measure and integral. Emphasis will be given to examples and applications.

Syllabus

Metric spaces, completeness. Sequences and series of functions: pointwise and uniform convergence. Calculus for functions of several variables. Implicit Function Theorem. Integration of functions of several variables. Line and surface integrals. Vector fields. Stokes' Theorem. Divergence Theorem. The Cauchy problem for systems of ordinary differential equations. Lebesgue measure and integral. Passing to the limit under the integral sign. Fourier series.

Assessment methods and criteria

Written test and oral exam

Reference books
Activity Author Title Publisher Year ISBN Note
Teoria 1 Robert A. Adams, Christofer Essex Calcolo Differenziale 2 - Funzioni di più variabili (Edizione 5) AMBROSIANA 2014 978-8808-18468-9
Teoria 1 Kenneth R. Davidson, Allan P. Donsig Real Analysis and applications: theory in practice Springer 2010 978-0443042089
Esercitazioni Giuseppe De Marco Analisi 2. Secondo corso di analisi matematica per l'università Lampi di Stampa (Decibel Zanichelli) 1999 8848800378
Esercitazioni G. De Marco Analisi due Zanichelli (decibel) 1999 88-08-01215-8
Esercitazioni V. Barutello, M. Conti, D.L. Ferrario, S. Terracini, G. Verzini Analisi matematica. Dal calcolo all'analisi Vol. 2 Apogeo 2007 88-503-242
Esercitazioni Giuseppe de Marco Analisi uno. Primo corso di analisi matematica. Teoria ed esercizi Zanichelli 1996 8808243125
Esercitazioni Giuseppe de Marco Analisi Zero, presentazione rigorosa di alcuni concetti base di matematica per i corsi universitari (Edizione 3) Edizione Decibel/Zanichelli 1997 978-8808-19831-0
Teaching aids
Title Format (Language, Size, Publication date)
Diario II parte (aggiornato al 14/1/2015)  pdfpdf (it, 552 KB, 14/01/15)
diario del corso - prima parte  pdfpdf (it, 342 KB, 09/12/14)

Statistics about transparency requirements (Attuazione Art. 2 del D.M. 31/10/2007, n. 544)

Statistics
Outcomes Exams Outcomes Percentages Average Standard Deviation
Positive 39.04% 23 3
Rejected --
Absent 60.95%
Ritirati --
Canceled --
Distribuzione degli esiti positivi
18 19 20 21 22 23 24 25 26 27 28 29 30 30 e Lode
14.6% 9.7% 7.3% 2.4% 4.8% 17.0% 19.5% 2.4% 12.1% 4.8% 2.4% 0.0% 0.0% 2.4%

Data from AA 2014/2015 based on 105 students. I valori in percentuale sono arrotondati al numero intero più vicino.