- Docente: Mattia Francesco Galeotti
- Credits: 6
- SSD: MAT/05
- Language: Italian
- Moduli: Mattia Francesco Galeotti (Modulo 1) Enrico Smargiassi (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Information Science for Management (cod. 8014)
Learning outcomes
At the end of the module, the student is acquainted with the fundamental notions concerning differential and integral calculus of functions of one variable.
Course contents
Some definitions about set theory. Real numbers. Exponential and logarithmic functions. Trigonometric functions. Limits and continuity for real functions of a real variable. Derivatives. Higher order derivatives. Local maxima and minima. Infinitesimal asymptotics and Taylor formula. 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. Generalized integrals.
Readings/Bibliography
E.Lanconelli, Lezioni di Analisi Matematica 1, Pitagora.
Teaching methods
Lectures and exercises in classroom.
Assessment methods
The exam is made of a written test of 3 hours and an oral one.
Teaching tools
Exercises can be found in Insegnamenti OnLine
Office hours
See the website of Mattia Francesco Galeotti
See the website of Enrico Smargiassi