You are here:

66877 - Calculus

Academic Year 2021/2022

                
                        Docente:
                        Nicola Abatangelo
                    
                        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)

                            Teaching resources on Virtuale

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

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

E. Lanconelli, Lezioni di Analisi Matematica 1, Pitagora.
M. Bramanti, C.D. Pagani, S. Salsa, Analisi matematica 1, Zanichelli.

Teaching methods

Lectures.
Every week exercises will be proposed, that will have the possibility to be solved under the superviosion of a tutor.

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:

Written and oral exams, to be taken in the same "appello".
In order to attend the oral exam one must achieve at least a grade 15/30 in the written exam. The oral exam is crucial.
The written exam aims at verifying the ability of solving exercises akin to those assigned during the course. The steps leading to the solution must be given and justified. It is not allowed to use books, notes or calculators; only paper and pen. It lasts 2 hours.
The oral exam aims at verifying the knowledge of the theory developed during the course. It will be asked to give definitions and examples of concepts and to give statements and proofs of propositions. Il lasts about half an hour.

Teaching tools

Further material will be published during the course on Virtuale.

Office hours

See the website of Nicola Abatangelo