- Docente: Giovanni Cupini
- Credits: 7
- SSD: MAT/05
- Language: Italian
- Moduli: Giovanni Cupini (Modulo 1) Giovanni Dore (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 8010)
Course contents
Local extrema.
Convex functions. Convexity criterion. Graphing functions of one real variable.
Riemann integral for functions of one real variable. Fundamental theorems of integral calculus. Antiderivatives. Application of integral calculus: first order linear differential equations.
Improper integrals. Numerical series.
Metric spaces. The n-dimensional Euclidean real space.
Readings/Bibliography
Some teaching material will be uploaded on the web site "Insegnamenti online" https://iol.unibo.it/
To study in depth the topics of the course, students can consult the following books.
Theory:
E. Lanconelli, Lezioni di Analisi Matematica 1, ed. Pitagora
P. Marcellini - C. Sbordone: Analisi Matematica 1, ed. Liguori
E. Giusti, Analisi Matematica 1, ed. Boringhieri
Exercises:
M. Bramanti, Esercitazioni di Analisi Matematica 1, ed. Esculapio
P. Marcellini - C. Sbordone: Esercitazioni di Matematica, volume 1, parte seconda, ed. Liguori
E. Giusti, Esercizi e complementi di Analisi Matematica, volume 1, ed. Boringhieri
Teaching methods
Teaching methods adapt for students in the classroom or connected on line.
Assessment methods
The examination consists of a preliminary written test and an oral one.
The written test consists of five exercises related to the arguments of the course. In order to sustain the written test the student must register at least five days before the test through AlmaEsami https://almaesami.unibo.it/ . The written test is passed with a minimum score of 15 out of 30.
The written test remains valid for the oral exam in the same examination period.
The oral test follows the written test; it mainly concerns the theoretical aspects of the course. The student must show to know the concepts explained during the course (in particular definitions, theorems and their proofs) and how to connect with each other.
Teaching tools
Tablet and webcam, for a teaching suitable for students in classrooms and connected on-line.
Office hours
See the website of Giovanni Cupini
See the website of Giovanni Dore