Mathematical analysis 2 (2010/2011)

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 Alberto Benvegnu'

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 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.

Reference books
Activity Author Title Publisher Year ISBN Note
Teoria V. Barutello, M. Conti, D.L. Ferrario, S. Terracini, G. Verzini Analisi matematica. Dal calcolo all'analisi Vol. 2 Apogeo 2007 88-503-242
Teoria Adams, R. Calcolo differenziale (vol. 2). Funzioni di più variabili. Ambrosiana 2003 8840812687
Teoria James Stewart Calcolo: funzioni di più variabili (Edizione 3) Apogeo 2002 8873037488
Teaching aids
Title Format (Language, Size, Publication date)
Diario del corso  pdfpdf (it, 231 KB, 30/11/10)
Esercizi -1  pdfpdf (it, 93 KB, 20/10/10)
Esercizi -2  pdfpdf (it, 101 KB, 26/10/10)
Esercizi -3  pdfpdf (it, 88 KB, 02/11/10)
Esercizi -4  pdfpdf (it, 66 KB, 09/11/10)
Esercizi -5  pdfpdf (it, 122 KB, 25/11/10)
Esercizi -6  pdfpdf (it, 98 KB, 18/01/11)
Soluzioni appelli d'esame (a cura di Antonio Marigonda)  pdfpdf (it, 1041 KB, 15/02/11)
Soluzioni Esercizi -1  pdfpdf (it, 143 KB, 29/10/10)