The course will give a basic mathematical and statistical knowledge, with a focus on elementary techniques on linear algebra and mathematical analysis for functions of one variable, as well as basic statistical methods. A practical and problem-oriented approach will be adopted.

After finishing the course, students will be able to tackle simple problems in differential and integral calculus and linear algebra, and to identify the statistical techniques necessary for basic statistical processing of data. This course module will endow students with basic skills in calculus and with basic statistical notions. To demonstrate the effective preparation for the threshold competencies the students will be asked to prove, before the end of this course module, that they have attained knowledge about: • compute limits and derivatives; • compute integrals; • perform a qualitative study of functions of one real variable; • perform computations with matrices and vectors; • perform basic statistical analysis • plan simple experiments or polls to collect sensory data and capacity to apply such knowledge: 

Students attending this course should already know the following basic concepts of mathematics studied in the high school: polynomial equations and inequalities of the first and second order; fractional equations and inequalities; systems of inequalities; multiplication and division of polynomials; trigonometric functions; logarithms and exponentials; Euclidean geometry.

4cfu MATH-03/A will include: Differential Calculus: real functions of one variable; elementary functions; limits of functions; continuity; derivatives; De L'Hopital rule; qualitative graph of a function; Taylor polynomials. (1,5 cfu) Integral calculus: definition and calculus of integrals. (1cfu) Linear algebra and geometry: vectors and matrices, lines and planes, algebraic systems. (1,5 cfu)  (Calcolo differenziale: funzioni reali di variabile reale; funzioni elementari; limiti di funzioni; continuità; derivate; regola di De L'Hopital; grafico qualitativo di una funzione; polinomio di Taylor. (1,5 cfu) Calcolo integrale: definizione e calcolo di integrali. (1 cfu)     Algebra lineare e geometria: vettori e matrici, piani e rette, sistemi algebrici. (1,5 cfu)) 2cfu STAT-01/A Data handling and descriptive statistics. Elements of statistical methods for surveys and for the analysis of sensory data. (Raccolta dei dati e statistica descrittiva. Elementi di metodi statistici per i sondaggi e per l’analisi di dati sensoriali.)

The course will include 40 hours of theoretical lessons and 20 hours of exercise classes.

For full-time students Special teaching material will be developed for this course, which does not coincide with texts available on the market. The texts listed here should NOT be considered course textbooks, as they are not used or followed by the professors, but solely as supplementary study material and/or for further reading: • Calculus – Early Transcendentals, James Stewart, coauthors Daniel K. Clegg, Saleem Watson; • Introductory Statistics, by Sheldon Ross. For part-time students Special teaching material has been developed for this course, which does not coincide with texts available on the market. The texts listed here should NOT be considered course textbooks, as they are not used or followed by the professors, but solely as supplementary study material and/or for further reading: • Calculus – Early Transcendentals, James Stewart, coauthors Daniel K. Clegg, Saleem Watson; • Introductory Statistics, by Sheldon Ross.

Libro di testo; Video lezioni dell’anno corrente;

Modalita di esame: Prova scritta (in aula);

Exam: Written test;

... For full-time students The exam is a 90-minute written exam. It includes four multiple-choice questions (4 points for each correct answer, 0 points for unanswered or wrong answered questions) and two open-ended questions (7 points each). The exam aims to assess the knowledge of the topics covered in the course. An optional oral exam may be requested by the teacher. For part-time students The exam consists of a 90-minute written exam. It includes four multiple-choice questions (4 points for each correct answer, 0 points for unanswered or wrong answered questions) and two open-ended questions (7 points each). The exam aims to assess the knowledge of the topics covered in the course. An optional oral exam may be requested by the teacher.

Gli studenti e le studentesse con disabilita o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unita Special Needs, al fine di permettere al/la docente la declinazione piu idonea in riferimento alla specifica tipologia di esame.