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. 2021/2022
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3° Year activated in the A.Y. 2022/2023
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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.
Foundations of mathematics I (2020/2021)
Teaching code
4S02752
Teacher
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/01 - MATHEMATICAL LOGIC
Period
I semestre dal Oct 1, 2020 al Jan 29, 2021.
Learning outcomes
The course is an introduction into the fundamental methods and concepts of mathematics, especially into the method of proof and the language of sets.
At the end of the course the student will be expected to demonstrate that s/he has attained adequate skills in synthesis and abstraction, as well as the ability to recognize and produce rigorous proofs and to formalize and solve moderately difficult problems related to the topics of the course.
Program
With the exception of some optional exercise classes, the entire course will be held in lecture hall. At the same time all hours will be available online.
Contents of the course:
Propositions and predicates
Connectives and quantifiers
Sets, elements, subsets
The axiomatic-deductive method
Mathematical terminology
Proof techniques
Relations and functions
Families and sequences
The Peano axioms
Number systems
Transfinite methods
| Author | Title | Publishing house | Year | ISBN | Notes |
|---|---|---|---|---|---|
| Day, Martin | An Introduction to Proofs and the Mathematical Vernacular. | 2015 | |||
| Silvana Franciosi, Francesco De Giovanni | Elementi di algebra | Aracne | 1995 | 8879990241 | Per Fondamenti della matematica: le prime parti del libro |
| Velleman, Daniel J. | How to Prove It: A Structured Approach (Edizione 2) | Cambridge University Press | 2006 | 978-0-521-67599-4 | |
| Cantini, Andrea & Minari, Pierluigi | Introduzione alla logica : linguaggio, significato, argomentazione. (Edizione 1) | Le Monnier | 2009 | 978-88-00-86098-7 | |
| C. Toffalori, S. Leonesi | Matematica, miracoli e paradossi | Mondadori | 2007 | 9788842420934 | Da acccompagnare certi argomenti del corso. |
| Ebbinghaus, H.-D., Hermes, H., Hirzebruch, F., Koecher, M., Mainzer, K., Neukirch, J., Prestel, A., Remmert, R. | Numbers | Springer | 1991 | 978-0-387-97497-2 | Per questo corso, piuttosto i primi due capitoli. |
| Halmos, Paul | Teoria elementare degli insiemi (Edizione 4) | Feltrinelli | 1981 |
Examination Methods
Single written exam with open questions and grades out of 30. The exam modalities are equal for attending and non-attending students.
The assessment methods may be subject to change as the development of the situation demands. The distance modality will anyway be guaranteed for all students who require this in the academic year 2020-21.
