Mathematical analysis 1 (2014/2015)

Course code
4S00030
Credits
12
Coordinator
Gaetano Zampieri
Academic sector
MAT/05 - MATHEMATICAL ANALYSIS
Language of instruction
Italian
Web page
http://profs.sci.univr.it/~baldo/AAcorrente/corsi.html
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 6 I sem. Sisto Baldo
Teoria 1 3 I sem. Gaetano Zampieri
Esercitazioni 3 I sem. Alberto Benvegnu'

Lesson timetable

I sem.
Activity Day Time Type Place Note
Teoria Monday 8:30 AM - 11:30 AM lesson Lecture Hall E  
Teoria Wednesday 11:30 AM - 1:30 PM optional practice session Lecture Hall E  
Teoria Friday 11:30 AM - 1:30 PM lesson Lecture Hall E  
Esercitazioni Thursday 8:30 AM - 11:30 AM lesson Lecture Hall E  

Learning outcomes

The course introduces to the basic concepts and techniques of differential and integral calculus emphasizing methodology and applications over the more formal aspects. The aim is to provide the students with basic tools for addressing scientific issues which can be formalized in the language and methods of calculus.

Syllabus

Properties of real numbers. Sequences and series. Limits. Continuous functions. Differential and integral calculus for functions of one real variable. Elementary ordinary differential equations. Topology of the real line.

Assessment methods and criteria

The final exam consists of a written test followed, in case of a positive result, by an oral test. The written test consists of some exercises on:
properties of real numbers, sequences and series, limits, continuous functions, differential and integral calculus for functions of one real variable.
The oral test is on elementary ordinary differential equations and the topology of the real line.

Reference books
Activity Author Title Publisher Year ISBN Note
Teoria M.Bramanti,C.D.Pagani,S.Salsa Analisi Matematica 1 Zanichelli 2009 978-88-08-06485-1
Teoria Conti F. et al. Analisi Matematica, teoria e applicazioni McGraw-Hill, Milano 2001 8838660026
Teoria R.A. Adams Calcolo Differenziale 1 - Funzioni di una variabile reale Casa Editrice Ambrosiana  
Teaching aids
Title Format (Language, Size, Publication date)
Diario del corso (19/11/2014)  pdfpdf (it, 1007 KB, 19/11/14)
Dispense del prof. Zampieri:  pdfpdf (it, 25 KB, 19/11/14)