Mathematical analysis 2 (2011/2012)

Course code
4S00031
Credits
12
Coordinator
Giandomenico Orlandi
Academic sector
MAT/05 - MATHEMATICAL ANALYSIS
Language of instruction
Italian
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 9 I semestre Sisto Baldo
Giandomenico Orlandi
Esercitazioni 3 I semestre Antonio Marigonda

Lesson timetable

I semestre
Activity Day Time Type Place Note
Teoria Wednesday 2:30 PM - 4:30 PM lesson Lecture Hall E  
Teoria Thursday 3:30 PM - 4:30 PM lesson Lecture Hall E  
Teoria Friday 1:30 PM - 3:30 PM lesson Lecture Hall E  
Teoria Friday 3:30 PM - 4:30 PM lesson Lecture Hall E  
Esercitazioni Monday 1:30 PM - 3:30 PM practice session Lecture Hall E  
Esercitazioni Tuesday 1:30 PM - 2:30 PM practice session 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 and oral exam.

Reference books
Activity Author Title Publisher Year ISBN Note
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
Teaching aids
Title Format (Language, Size, Publication date)
Diario delle lezioni del prof. Orlandi  pdfpdf (it, 213 KB, 02/12/11)

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

Statistics
Outcomes Exams Outcomes Percentages Average Standard Deviation
Positive 33.82% 25 2
Rejected --
Absent 66.17%
Ritirati --
Canceled --
Distribuzione degli esiti positivi
18 19 20 21 22 23 24 25 26 27 28 29 30 30 e Lode
4.3% 0.0% 0.0% 0.0% 8.6% 4.3% 34.7% 17.3% 0.0% 13.0% 4.3% 0.0% 8.6% 4.3%

Data from AA 2011/2012 based on 68 students. I valori in percentuale sono arrotondati al numero intero più vicino.