## OVERVIEW

The course is given by lectures on the blackboard (or at distance via TEAMS if required). The exam involves a written test and an oral test; the type of the written part is depending on whether the exam is allowed to be in presence (quiz + exercises) or online (only quiz). There will be the possibility of intermediate tests.

## AIMS AND CONTENT

LEARNING OUTCOMES

The purpose is to acquire the knowledge of concepts and methods of calculus concerning numerical sequences and series, differential and integral calculus in one variable, ordinary differential equations.

AIMS AND LEARNING OUTCOMES

At the end of the course the student is required to know the concepts (definitions, theorems) and to apply them in practical problems. In the first part this concerns limits (of sequences and functions), continuity, differentiability, Taylor's formula and possibly sequences and series of functions. In the second part the learning outcomes concern methods of integration and solution of simple differential equations.

PREREQUISITES

Numerical sets, equations and inequalities, analytical geometry in the plane, goniometry and trigonometry, elements of set theory.

TEACHING METHODS

The teching method is via lectures on the blackboard, if presence in rooms is allowed. Otherwise lectures are given at distance.

SYLLABUS/CONTENT

Numerical sets. Induction. Differential calculus. Taylor's formula. Applications of study of functions (minima/maxima and zeroes of nonlinear functions).

Integration. Ordinary differential equations (separable variables, constant coefficients linear differential equations, and particular ones).

RECOMMENDED READING/BIBLIOGRAPHY

Bramanti, Pagani, Salsa - Analisi Matematica 1

Baronti, De Mari, van der Putten, Venturi - Calculus Problems

## TEACHERS AND EXAM BOARD

**Office hours:**
The teacher is available for explanations one afternoon a week.

Exam Board

SIMONE DI MARINO (President)

LAURA CAPELLI

MARC ALEXANDRE MUNSCH (President Substitute)

## LESSONS

TEACHING METHODS

The teching method is via lectures on the blackboard, if presence in rooms is allowed. Otherwise lectures are given at distance.

LESSONS START

September 2021

Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

EXAM DESCRIPTION

The exam involves a written test and an oral test; the type of the written part is depending on whether the exam is allowed to be in presence (quiz + exercises) or online (only quiz). There will be the possibility of intermediate tests.

ASSESSMENT METHODS

Questions during the exam involve both theoretical aspects (theorems, formal developments) and applications via exercises.

Exam schedule

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

04/01/2022 | 09:00 | GENOVA | Scritto + Orale | |

18/01/2022 | 09:00 | GENOVA | Scritto + Orale | |

08/02/2022 | 09:00 | GENOVA | Scritto + Orale | |

07/06/2022 | 10:00 | GENOVA | Scritto | |

21/06/2022 | 10:00 | GENOVA | Scritto | |

26/07/2022 | 10:00 | GENOVA | Scritto | |

09/09/2022 | 10:00 | GENOVA | Scritto |