- Docente: Laura Galli
- Credits: 6
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Information Science for Management (cod. 6641)
-
from Sep 15, 2025 to Dec 11, 2025
Learning outcomes
At the end of the module the student is acquainted with the topology of the space of real numbers R and the notion of continuous function on this space; he/she acquires the notions of derivation, limit and integration for functions in one variable on R and he/she is able to perform a function study; he/she acquires the link between derivation and integration through the Fundamental Theorem of Calculus.
Course contents
- Outlines of set theory and basic logic
- Sets of numbers: natural, integer, rational and real numbers, topology of R
- Functions of one real variable: operations, properties, elementary functions
- Limits. Continuous functions and their properties.
- Differential calculus: derivatives, Taylor formula and function study
- Integral calculus: the fundamental theorem, primitives; integration by substitution, by parts
- Improper integrals: definition and possible behaviors
- Series and power series
Readings/Bibliography
- Marco Bramanti Carlo Domenico Pagani Sandro Salsa
Analisi matematica 1 (2014)
con elementi di geometria e algebra lineare
- Sandro Salsa Annamaria Squellati
Esercizi di Analisi matematica 1
Seconda edizione (2023)
Teaching methods
- Lectures
Assessment methods
In order to pass the exam of the integrated course Calculus - Linear Algebra one needs to pass the exam on each of the two parts; the grade of the integrated course is the average of the grades of the two parts.
The two modules are "independed" so one can take the two exams in any order.
The assessment for Calculus consists of a written exam of 2 hours related to the topics developed during the course. Notes are not allowed, electronic devices are not allowed with the exception of a scientific calculator.
It is compulsory to sign up for the exam using AlmaEsami and, in case one is not able to take the exam, it is compulsory to remove one's name from the same list.
Teaching tools
Additional material (exercises, notes) will be available on the course "Virtuale" page.
Office hours
See the website of Laura Galli