ECTS - University of Pisa
| Modules | Area | Type | Hours | Teacher(s) | |
| ANALISI MATEMATICA | MAT/05 | LEZIONI | 72 |
|
http://elearn.ing.unipi.it/pluginfile.php/69167/mod_resource/content/5/INGANDU16-SchedaProgrPubblica16.pdf
Give statements and definitions of differential and integral calculus
for functions of several real variables, to study the basic notions concerning surfaces in the
tridimensional euclidean space, and the basic spaces of funcitons. To present the abstract
languages useful to an unitary knowledge of these tools.
http://elearn.ing.unipi.it/pluginfile.php/69167/mod_resource/content/5/INGANDU16-SchedaProgrPubblica16.pdf
Assessment criteria of knowledge
Student action: study and compare lessons with text-books, link with arguments af previous teaching, distinguish between notations difficulties and conceptual ones. Ask to the teacher.
Standard: know basic examples and counterexamples to statements, know the conceptual content of formal definitions, recognize abstract statements in simple concrete cases.
http://elearn.ing.unipi.it/pluginfile.php/69167/mod_resource/content/5/INGANDU16-SchedaProgrPubblica16.pdf
Use of the languages and of the calculus formalisms proposed in the course
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Student action: training in calculus using not only formulas but also the theory exposed to get the right automatism. Ask to the teacher.
Standard: apply calculus rules, formulas and definitions in concrete cases.
http://elearn.ing.unipi.it/pluginfile.php/69167/mod_resource/content/5/INGANDU16-SchedaProgrPubblica16.pdf
http://elearn.ing.unipi.it/pluginfile.php/69167/mod_resource/content/5/INGANDU16-SchedaProgrPubblica16.pdf
http://elearn.ing.unipi.it/pluginfile.php/69167/mod_resource/content/5/INGANDU16-SchedaProgrPubblica16.pdf
All the arguments treated in Analisi Matematica 1 and Geometria.
Binomial coefficients, geometric meaning of the determinant, basics on conics.
Partecipazione, non solo presenza, ad esercitazioni, lezioni e ricevimenti. Segnalare puntulamente e tempestivamente le difficolta'.
Riferirsi al sito del corso http://elearn.ing.unipi.it/course/view.php?id=690 e al registro delle lezioni con costanza.
Classroom lessons, guided exercises, private repetitorium
http://elearn.ing.unipi.it/pluginfile.php/69167/mod_resource/content/5/INGANDU16-SchedaProgrPubblica16.pdf
see class web pages: programma.
http://elearn.ing.unipi.it/pluginfile.php/69167/mod_resource/content/5/INGANDU16-SchedaProgrPubblica16.pdf
http://elearn.ing.unipi.it/course/view.php?id=690
• Notes of the course: for some topics there is a certain difference with the usual tex
books.
Basics:
• M.Gobbino, lezioni di analisi matematica 2,
http://users.dma.unipi.it/gobbino/Home_Page/ArchivioDidattico.html
• N.Fusco, P.Marcellini, C. Sbordone, Elementi di analisi matematica 2. Versione sempli-
ficata per i nuovi corsi di laurea, Liguori Editore, 2001.
More complete books:
• V. Barutello, M. Conti, D. L. Ferrario, S. Terracini, G. Verzini, Analisi matematica vol.
2 - con elementi di geometria e calcolo vettoriale, Apogeo, Milano 2008.
• N.Fusco, P.Marcellini, C. Sbordone, Analisi Matematica 2, Liguori Editore, 1996.
Others interesting books:
• P. Acquistapace, Appunti di Analisi matematica 1,
http://www.dm.unipi.it/~acquistp/analisi1.pdf
• P. Acquistapace, Appunti di Analisi matematica 2,
http://www.dm.unipi.it/~acquistp/analisi2.pdf
• R. Courant, F. John, Introduction to Calculus and Analysis, vol. 2/I, vol. 2/I, Springer,
Berlin 1999.
Contattare il docente tortorel@dm.unipi.it
http://elearn.ing.unipi.it/pluginfile.php/69167/mod_resource/content/5/INGANDU16-SchedaProgrPubblica16.pdf
http://elearn.ing.unipi.it/pluginfile.php/69167/mod_resource/content/5/INGANDU16-SchedaProgrPubblica16.pdf
