Programme

Cap. 1: Real numbers; functions.
Cap. 4: Vector space.
Cap. 2: Matrices and determinant.
Cap. 3: Linear systems.
Cap. 5: Limit of a sequence.
Cap. 6: Limit of a function; continuous function.
Cap. 7: Important theorem for continuous functions; Bolzano-Weierstrass theorem.
Cap. 9: Derivation; rules for derivatives; geometrical meaning of derivative.
Cap. 10: Study of functions
Cap. 11: Functions of many variables.
Cap. 12: Definite Integral.
Cap. 13: Indefinite Integral. Integration rules.

Core Documentation

MARCELLINI P.,SBORDONE C., ELEMENTI DI CALCOLO [ED. LIGUORI ]
Classroom notes with exercises

Type of delivery of the course

lectures and exercises

Type of evaluation

written exams during the lessons and final oral exam

Programme

Numbers and real valued functions. Limits of sequences. Limits of functions and continuous functions. Derivatives and their applications. Integrals and their applications. Vector spaces and linear maps. Matrices and their properties. Differential equations.

Core Documentation

Elementi di Calcolo. P. Marcellini, C. Sbrodone, Liguori Editore.

Type of delivery of the course

Lectures in the classroom. Exercise classes.

Type of evaluation

There two possible types of exam, at students' discretion: 1) Two written intermediate exams on the first and second part of the program plus final oral examination (not mandatory) 2) A single written exam on the whole program plus final oral examination (not mandatory)