## OVERVIEW

The course aims to develop the tools of Mathematical Analysis necessary to study and understand technical and scientific topics. These tools are introduced, developed and their main applications are illustrated.

## AIMS AND CONTENT

LEARNING OUTCOMES

The course provides the main concepts in differential and integral calculus of a single real variable, and it teaches students rigorous and reflective thinking

AIMS AND LEARNING OUTCOMES

The course aims to introduce the tools of Mathematical Analysis and to provide examples of their application.

PREREQUISITES

A good knowledge of basic mathematics such as that provided by a High School,

TEACHING METHODS

The course consists of lectures and practice.

SYLLABUS/CONTENT

Real number system. Elementary functions. Numerical sequences, recurrence sequences, fixed points.

Differential calculus of functions of one real variable. De l'Hopital rule and Taylor formula, Peano and Lagrange remainder.

Integral calculus: Riemann theory, integration techniques, primitive functions, fundamental theorem of Calculus, improper integrals.

Separable differential equations. Differential linear equations and systems of differential linear equations.

RECOMMENDED READING/BIBLIOGRAPHY

Course materials can be found at : http://web.inge.unige.it/DidRes/Analisi/AMindex.html

## TEACHERS AND EXAM BOARD

**Office hours:** From Tuesday to Thursday by appointment

Exam Board

OTTAVIO CALIGARIS (President)

MAURIZIO SCHENONE

CLAUDIO CARMELI (President Substitute)

## LESSONS

TEACHING METHODS

The course consists of lectures and practice.

LESSONS START

Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

EXAM DESCRIPTION

Final examination consists of an oral exam.

ASSESSMENT METHODS

The student must know the methods and tools used in class. It is required to be able to use the tools studied to solve problems. The quality of the exposure, the correct use of the specialized vocabulary and the reasoning skills contribute to the final evaluati

Exam schedule

Date | Time | Location | Type | Notes |
---|---|---|---|---|

18/02/2022 | 09:00 | GENOVA | Esame su appuntamento | |

16/09/2022 | 09:00 | GENOVA | Esame su appuntamento |

FURTHER INFORMATION

Pre-requisites :

Good knowledge of high school mathematics.