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 Informatica - 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
| Modules | Credits | TAF | SSD |
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Algebra and Foundations of Mathematics
Mathematical analysis
2° Year It will be activated in the A.Y. 2025/2026
| Modules | Credits | TAF | SSD |
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3° Year It will be activated in the A.Y. 2026/2027
| Modules | Credits | TAF | SSD |
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Un insegnamento a scelta| Modules | Credits | TAF | SSD |
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Algebra and Foundations of Mathematics
Mathematical analysis
| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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Un insegnamento a scelta| Modules | Credits | TAF | SSD |
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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.
Algebra and Foundations of Mathematics [Matricole pari] (2024/2025)
Teaching code
4S012339
Teacher
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/01 - MATHEMATICAL LOGIC
Period
Semester 1 dal Oct 1, 2024 al Jan 31, 2025.
Courses Single
Authorized
Learning objectives
The course aims to provide the fundamental notions of algebra and mathematics: mathematical symbology, basic notions of naive set theory, main proof techniques, and basic algebraic structures. At the end of the course, the student will have to: Demonstrate knowledge and understanding of basic mathematical concepts, techniques, and structures; Know how to apply the knowledge acquired to recognize, reason, and use basic mathematical concepts, techniques, and structures rigorously; Be able to recognize the basic mathematical structures and notions and choose appropriate techniques and methodologies for the resolution of basic and advanced IT problems; Know how to argue in a technical and precise way basic and advanced mathematical and IT problems; Be able to expand his/her knowledge and acquire the knowledge necessary to autonomously continue the studies both in mathematics and in IT areas, in particular in the context of formal IT methods.
Prerequisites and basic notions
No specific prerequisites are required.
Program
1. Sets: operations on sets (membership, union, intersection, power set, product).
2. Relations and Functions: total and partial functions, equivalence relations, partitions, ordering relations.
3. Natural Numbers: definitions by primitive recursion, main operations on natural numbers, construction of integers and rationals; factorisation and the fundamental theorem of arithmetic. Congruences.
4. Cardinality: Finite and infinite sets, equipotence, ordering of cardinalities; Cantor's theorem and the uncountability of the reals.
5. Algebraic Structures: Monoids, groups, rings, and lattices (definitions and main properties).
Bibliography
Didactic methods
Frontal lesson
Learning assessment procedures
Written exam with open theory questions and exercises.
Evaluation criteria
Familiarity with the theoretical results introduced, the ability to understand the definitions and to prove the theorems related to the lesson will be assessed.
Criteria for the composition of the final grade
Evaluation of the written exam, weighted sum of the exam questions.
Exam language
Italiano (Italian)
