- 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. 6060)
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from Sep 16, 2024 to Dec 05, 2024
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, integrals of rational and trigonometric functions
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 Mathematical Analysis - Linear Algebra on must pass the exam on each of the two parts; the grade of the integrated course is the mean of the grades of the two parts.
Mathematical Analysis exam:
The assessment consists of a written exam of 2 hours.
Teaching tools
Additional materials will be available on the course "Virtuale" page.
Office hours
See the website of Laura Galli