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Oriented line, irrational numbers. Taylor and Mac Laurin series. Enrolment methods Manual enrolments. Basic concepts of plane analytical geometry: Campi irrotazionali e loro significato. The graph of a variablle. Limits of monotone functions. Students are not committed to do them, but in case they do they are allowed to skip the final complete written examination.

Theoretical lectures, exercises and lab sessions with the use of package R.

Sequences and iterative processes. Rules of indefinite integration. Variwbile vettoriali reali e complessi, dipendenza e indipendenza lineare, sistemi di generatori e basi di uno spazio vettoriale, dimensione di uno spazio vettoriale.

Autovalori e autovettori di endomorfismi hermitiani, Teorema Spettrale per endomorfismi variabild, diagonalizzazione simultanea di endomorfismi hermitiani commutanti.


Matrici e operatori lineari: Eigenvalues and eigenvectors of endomorphisms, diagonalizability. Economics and culture of human nutrition. Differential calculus for functions of two and several variables.

To this end, the definitions and the main results of the Mathematical Analysis, concerning the concepts of limit, derivative and integral, will be presented first in the elementary functions setting and next, by using some selected insights, also inside some most complex problems arising from applied sciences. Fundamental properties of operations. Last update of the programme. La prova scritta consiste in alcuni esercizi inerenti il programma svolto. The main aim of the course is to facilitate the student in acquiring an appropriate level of autonomy in the theoretical knowledge and on the applications of basic analytical tools, to stimulate his capacity for reflection, computing and to communicate in an appropriate scientific language the notions learned.

Elements of linear algebra. Esame scritto e orale.

Sostituzione di Weierstrass – Wikipedia

Upper and Lower Bounds. Derivatives of elementary functions and basic rules of derivation. Limit of a real function and basic properties.

Contents Elements of linear algebra. The achievement of the course objectives is assessed through a written examination.

Questo sito utilizza cookie tecnici e di terze parti. During the period of the lessons there will be two intermediate written tests caalcolo, in case of a positive overall result, will allow to directly give the oral exam in February.


Extended program Please, refer to the Unistudium section of the course. The use of the package R is introduced for graphics and computations.


Fundamental properties of powers. The first part of the course aims at giving basic knowledge on theory and application of differential calculus.

For more information or to deny consent to all or some of the cookies used by the website, please read the information sheet. Global properties of continuous functions: Each exam session includes a written test and then, in case of passing the written test, an oral exam within a few days.

Unbounded domains of integrations. Esame scritto con eventuale colloquio orale.

Sostituzione di Weierstrass

Properties of definite integrals. Teaching methods Lectures and exercises with the support of a Tutor Learning verification modality The exam is made of both a written and oral test. Rules of differentiation and properties of a differentiable function. Funzioni di una variabile.