Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea in Matematica applicata - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2010/2011
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3° Year activated in the A.Y. 2011/2012
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Mathematical analysis 2 (2010/2011)
Teaching code
4S00031
Credits
12
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/05 - MATHEMATICAL ANALYSIS
The teaching is organized as follows:
Teoria
Esercitazioni
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.
Program
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.
Bibliography
Activity | Author | Title | Publishing house | Year | ISBN | Notes |
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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 |
Examination Methods
Written and oral exam.
Teaching materials e documents
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Diario del corso (it, 231 KB, 11/30/10)
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Esercizi -1 (it, 93 KB, 10/20/10)
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Esercizi -2 (it, 101 KB, 10/26/10)
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Esercizi -3 (it, 88 KB, 11/2/10)
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Esercizi -4 (it, 66 KB, 11/9/10)
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Esercizi -5 (it, 122 KB, 11/25/10)
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Esercizi -6 (it, 98 KB, 1/18/11)
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Soluzioni appelli d'esame (a cura di Antonio Marigonda) (it, 1041 KB, 2/15/11)
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Soluzioni Esercizi -1 (it, 143 KB, 10/29/10)