Mathematical analysis 2 (2012/2013)

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 Monday 1:30 PM - 3:30 PM lesson Lecture Hall E  
Teoria Wednesday 2:30 PM - 4:30 PM lesson Lecture Hall E  
Teoria Friday 1:30 PM - 3:30 PM lesson Lecture Hall E  
Esercitazioni Tuesday 1:30 PM - 2:30 PM lesson Lecture Hall E  
Esercitazioni Thursday 3:30 PM - 4:30 PM lesson 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.

Reference books
Activity Author Title Publisher Year ISBN Note
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
Teaching aids
Title Format (Language, Size, Publication date)
Appunti delle lezioni del prof. Orlandi  pdfpdf (it, 240 KB, 03/12/12)
Lista di dimostrazioni per l'orale  pdfpdf (it, 33 KB, 31/01/13)

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

Data from AA 2012/2013 are not available yet