- Docente: Veronica Tora
- 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. 8014)
Learning outcomes
At the end of the course, the student knows the basic tools of differential and integral calculus for one variable functions.
Course contents
Ordered set. Real numbers. Exponential functions and logarithmic functions. Trigonometric functions. Sequences of real numbers. Limits and continuity for real functions of a real variable. Derivatives. Higher order derivatives. Infinitesimal asymptotics and Taylor formula. Local maxima and minima. Riemann integral for real functions of a real variable. Antiderivatives. Fundamental Theorem of Calculus. Techniques of integrations (by parts, by substitution), integral of rational functions.
Readings/Bibliography
Ermanno Lanconelli, Lezioni di Analisi Matematica 1, Ed. Pitagora;
Enrico Giusti, Analisi Matematica 1, Ed. Boringhieri.
Teaching methods
Lectures and exercises in classroom.
Assessment methods
The examination consists of a preliminary written test and an oral one.
The written test consists of exercises related to the arguments of the course. In order to sustain the written test the student must register through AlmaEsami [https://almaesami.unibo.it/] .
The written test remains valid for the oral exam in the same examination period.
The oral test concerns the theoretical aspects of the course. Knowledge of the notions explained during the course (in particular definitions, theorems and their proofs) is required.
Office hours
See the website of Veronica Tora