italian version

Aims :

Knowledge of the language of Mathematical Analysis. Knowledge of basic elements of differential calculus for functions of one variable and applications.

Topics :

Elements of set theory . The set of the real numbers and its properties. Complex numbers. Numerical sequences and definition of limit. Numerical series and their behavior. Functions of one variable: elementary functions. Limit of a function. Continuous functions and their properties. Differential calculus for functions of one variable. Graph of a function. Some optimization problems. Taylor polynomial. Taylor series . Complex exponential. Integrals of one-variable functions, improper integrals.

Textbooks :

P. Marcellini- C. Sbordone: “Elementi di Analisi Matematica 1”, Liguori Editore.
P. Marcellini – C. Sbordone: “Esercitazioni di matematica” vol. 1 , Liguori Editore

Exam :

The exam consists of a written part and an oral part.

Tutorial Session :

At least 2 hours per week.