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 It will be activated in the A.Y. 2025/2026
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3° Year It will be activated in the A.Y. 2026/2027
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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 (2024/2025)
Teaching code
4S02752
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 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.
Prerequisites and basic notions
Adequate knowledge and mathematical and scientific skills typical of the training provided by the upper-level secondary school are required:
- Sets and functions, numerical and letter computations, methods of solving equations and inequalities (and systems of equations and inequalities) of first and second degree .
- Geometric properties of the princiipal plane and solid figures and their elementary properties.
- Representation in the Cartesian plane of geometric elements.
- Basics of trigonometry.
- Functions, graphs, relations.
- Power, root, absolute value functions.
- Exponential and logarithm and their graphs.
- Trigonometric functions and their graphs.
- Solving simple equations and inequalities constructed with these functions.
- Representing data, relations and functions with formulas, tables, bar charts and other graphical modes.
- Logical deductions of moderate complexity and logical implications between elementary sentences.
Program
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
Didactic methods
All teaching hours will be held in the classroom.
Outside the teaching hours, which comprise lectures, regular exercises are assigned as homework and discussed during the possible optional tutorials.
Learning assessment procedures
Single written exam with open questions and grades out of 30. The exam modalities are equal for attending and non-attending students.
Evaluation criteria
The exam aims to verify the ability to formalize and solve problems, the possession of an adequate capacity for analysis, synthesis, generalization and abstraction, and the ability to recognize and produce rigorous proofs, always limited to the teaching program.
Criteria for the composition of the final grade
The final grade consists of the outcome of the sole written exam.
Exam language
Italiano