Mathematical analysis 2 (2010/2011)
| Course code |
4S00031 |
| Credits |
12 |
| Coordinator |
Giandomenico Orlandi
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| Study courses to which this belongs |
Laurea in Matematica Applicata |
| Disciplinary sector |
MAT/05 - Mathematical analysis
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| Teaching language |
Italian |
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| Links |
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Teaching is organised as follows:
Lecture timetable
Educational objectives
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.
Exam methods
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 |
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| Teoria |
Adams, R. |
Calcolo differenziale (vol. 2). Funzioni di più variabili.
|
Ambrosiana |
2003
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8840812687 |
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| Teoria |
James Stewart |
Calcolo: funzioni di più variabili
(Edizione 3)
|
Apogeo |
2002
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8873037488 |
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Teaching aids
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| Activity |
Title |
Format (Language, Size, Publication date) |
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Teoria
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Diario del corso
|
 pdf (it, 231.215 KB, 11/30/10)
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Teoria
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Esercizi -1
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pdf (it, 93.383 KB, 10/20/10)
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Teoria
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Esercizi -2
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pdf (it, 101.627 KB, 10/26/10)
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Teoria
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Esercizi -3
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pdf (it, 88.84 KB, 11/2/10)
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Teoria
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Esercizi -4
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pdf (it, 66.871 KB, 11/9/10)
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Teoria
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Esercizi -5
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pdf (it, 122.231 KB, 11/25/10)
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Teoria
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Esercizi -6
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pdf (it, 98.393 KB, 1/18/11)
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Teoria
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Soluzioni appelli d'esame (a cura di Antonio Marigonda)
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pdf (it, 1,041.31 KB, 2/15/11)
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Teoria
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Soluzioni Esercizi -1
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pdf (it, 143.702 KB, 10/29/10)
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| Statistics |
| Outcomes Exams |
Outcomes Percentages |
Average |
Standard Deviation |
| Passed |
46.25%
|
24
|
4
|
| Failed |
--
|
|
| Absent |
43.75%
|
| Withdrawn |
--
|
| Canceled |
10.0%
|
| Distribuzione degli esiti positivi |
| 18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
30 e Lode |
|
18.9%
|
0.0%
|
2.7%
|
8.1%
|
5.4%
|
8.1%
|
5.4%
|
8.1%
|
8.1%
|
10.8%
|
2.7%
|
2.7%
|
13.5%
|
5.4%
|
Data from AA 2010/2011 based on 80 students. I valori in percentuale sono arrotondati al numero intero più vicino.
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