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 Scienze e tecnologie viticole ed enologiche - 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. 2011/2012
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3° Year activated in the A.Y. 2012/2013
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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.
Mathematics (2010/2011)
Teaching code
4S00181
Teacher
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/05 - MATHEMATICAL ANALYSIS
Period
I semestre dal Oct 4, 2010 al Jan 31, 2011.
Location
San Pietro in Cariano
Learning outcomes
The aim of the course is to introduce some fundamental topics of infinitesimal, differential and integral calculus of real valued functions in one real variable. Moreover some elements of linear algebra will be introduced.
Program
1) Set theory.
2) The real numbers system. The rational, integer and natural numbers. The induction principle.
3) The Cartesian product of two sets and the relations. Equivalence relations.
4) Polynomials in one indeterminate with coefficients in a field: definition, roots of a polynomia, division algorithm, Ruffini theorem.
5) Functions: definition, injective, surjective, bijective functions, inverse of a function, composition of functions, even and odd functions, monotonic functions. Graph of a function in one real variable. Classification of functions: algebraic and transcendental functions. The graph of a linear and quadratic function. Exponential, logarithmic and goniometric functions.
6) Limits: definition and fundamental theorems.
7) Continuous functions. Dicontinuity of a function.
8) Differentiable functions. Fundamental derivatives and fundamental theorems concerning differentiable functions.
9) Study of a function.
10) Riemann integral. Methods of integration.
11) Linear algebra: matrices and operations, square matrices, determinant of a square matrix, properties of determinants, inverse matrix of a square matrix, linear systems.
12) Sequences and series.
Author | Title | Publishing house | Year | ISBN | Notes |
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Ritelli, Bergamini, Trifone | Fondamenti di matematica (Edizione 1) | Zanichelli | 2005 | 978-88-08-21910-0 |
Examination Methods
Written and oral exam.