# 79184 - MATHEMATICS I

## Anno Accademico 2023/2024

• Docente: Enrico Bernardi
• Crediti formativi: 10
• SSD: MAT/05
• Lingua di insegnamento: Inglese
• Modalità didattica: Convenzionale - Lezioni in presenza
• Campus: Bologna
• Corso: Laurea in Scienze statistiche (cod. 8873)
• dal 11/09/2023 al 30/01/2024

## Conoscenze e abilità da conseguire

By the end of the course the student should know the basic notions of derivative and integral, and the basic techniques and applications which accompany them. In particular the student should be able to - study real functions - calculate derivatives and integrals - approximate a function by polynomial series expansion

## Contenuti

1) Numbers And Functions
2) Graphs And Curves
3) Derivative
4) Sketching Curves
5) Classical Functions
6) Integration
7) Series
8) Taylor's Formula
9) Miscellaneous: Complex Numebrs, Vectors
10) Several Variables Function Theory

## Testi/Bibliografia

[1] James Stewart Single Variable Calculus: Early Transcendentals

[2] Schaum's Outline of Advanced Calculus, Third Edition

Robert Wrede, Murray Spiegel

## Metodi didattici

Traditional black-board based classes and every lecture will be made available through online platforms.

## Modalità di verifica e valutazione dell'apprendimento

Written ( and optional oral ) exams. The written exam is articulated in a series of 3 or more exercises each with a maximum grade of 5 points. Every exercise attains to elements of the syllabus and the relevant Bibliography covered during the course lectures or otherwise hinted at during classes. The (optional ) oral exam may cover the same range of topics as well, while keeping into accont the candidate's perfomance in the previously held written test.

Some more details may be in order:

[1] Grades are expressed on a scale from 0 to 30 cum Laude (30L), where 18
is the passing threshold.

[2] It is highly recommended that students attend to classes, where a
number of exam-like problems will be solved and presented completely.

[3] Written exams may last from 1 to 3 hours,
depending on the stage and the session they are attached to.

[4] Written exams will be mainly made up by a
collection of exercises, some of them basic run of the mill stuff,
some more challenging.

[5] The method of execution, the precision of
presentation and, needless to say, the correctness and the accuracy of
the results will constitute the main factor in establishing the grade.

[6] The optional oral exam will be graded in a similar manner and an
arithmetic mean of the (i.e. written and oral) grades will yield the
final mark.

## Strumenti a supporto della didattica

Notes and supplementary material may be handed out during the course.

## Orario di ricevimento

Consulta il sito web di Enrico Bernardi