You are here:

81854 - ANALISI MATEMATICA 1B

Academic Year 2020/2021

                
                        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)

                            Teaching resources on Virtuale

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