- Docente: Marco Mughetti
- Credits: 12
- SSD: MAT/05
- Language: Italian
- Moduli: Marco Mughetti (Modulo 1) Daniele Morbidelli (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Computer Science (cod. 8009)
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from Sep 16, 2024 to Dec 16, 2024
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from Feb 17, 2025 to May 14, 2025
Learning outcomes
At the end of the course, the student knows the basic tools of mathematical analysis such as real numbers, limits, continuity, derivatives and integrals. Moreover, she/he can use these tools for studying other disciplines.
Course contents
The number sets: N,Z,Q,R.
The induction principle.
Sequences of real numbers.
Differential calculus for functions of one real variable.
Exponential and logarithmic functions. Trigonometric funtions.
Limits. Continuity (local and global properties).
Derivatives, monotony. Local maxima and local minima.
Infinite and infinitesimal asymptotics. Taylor's formula.
Integral calculus for functions of one real variable: primitive and integral, techniques of integration (by parts, by substitution), integral of rational functions. Generalized integrals.
An introduction to differential calculus for function of several variables. Continuity and derivatives for functions of several real variables.
Integral calculus for functions of two real variables.
Readings/Bibliography
Bertsch, Dal Passo, Giacomelli - Analisi matematica (McGraw-Hill)
Bramanti, Pagani, Salsa Matematica (Zanichelli)
Salsa, Squellati - Esercizi di Matematica I(Zanichelli)
Salsa, Squellati - Esercizi di Matematica II (Zanichelli)
Teaching methods
During the lectures, the teacher discusses the main topics of the theory, provides examples and shows how to solve several exercises.
Assessment methods
The exam aims to verify the reaching of the following didactical goals:
-knowledge of basic notions of mathematical analysis
-ability in using these notions in solving exercises and problems
The exam consists of two parts:
1) the first part consists of a set of exercises. Books, notes, computers and calculators are not allowed during this test.
2) the second part is focused on the theoretical aspects of the course. Only the students that have passed the first part are allowed to attend the second part.
Teaching tools
Blackboard, video and pc.
Virtual Class - Tutorato
Office hours
See the website of Marco Mughetti
See the website of Daniele Morbidelli
SDGs
This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.