# Mathematical analysis 2 (2013/2014)

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

### Lesson timetable

I semestre
Activity Day Time Type Place Note
Teoria Monday 1:30 PM - 3:30 PM lesson Lecture Hall E from Oct 1, 2013  to Nov 30, 2013
Teoria Wednesday 2:30 PM - 4:30 PM lesson Lecture Hall E from Oct 1, 2013  to Nov 30, 2013
Teoria Friday 1:30 PM - 3:30 PM lesson Lecture Hall E from Oct 1, 2013  to Nov 30, 2013
Teoria 1 Monday 1:30 PM - 3:30 PM lesson Lecture Hall E from Dec 1, 2013  to Jan 31, 2014
Teoria 1 Wednesday 2:30 PM - 3:30 PM lesson Lecture Hall E from Dec 1, 2013  to Jan 31, 2014
Teoria 1 Friday 1:30 PM - 3:30 PM lesson Lecture Hall E from Dec 1, 2013  to Jan 31, 2014
Esercitazioni Monday 3:30 PM - 4:30 PM practice session Lecture Hall E
Esercitazioni Thursday 3:30 PM - 4:30 PM practice session Lecture Hall E
Esercitazioni Friday 3:30 PM - 4:30 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.

 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 Esercitazioni Conti M., Ferrario D.L., Terracini S,. Verzini G. Analisi matematica. Dal calcolo all'analisi. Volume 1. Apogeo Esercitazioni Giuseppe de Marco Analisi uno. Primo corso di analisi matematica. Teoria ed esercizi Zanichelli 1996 8808243125
 Title Format (Language, Size, Publication date) diario del corso pdf (it, 253 KB, 13/12/13) Diario del corso, seconda parte (aggiornato al 17/1/2014) pdf (it, 605 KB, 20/01/14)