italian version

Aims :

To impart the basic elements of Real Analysis.

Topics :

Functions, limits and continuity. Differentiability and Continuity.Maximum and Minimum values of a function: Applications. Rolle's Theorem and the Mean-Value Theorem. Increasing and Decreasing Functions and the First Derivative - Test. The Second – Derivative Test for Relative Extreme. Concavity and Point of Inflection.Antiderivative of a Function. The Definite Integral:Properties, the Mean-Value Theorem, the Fundamental Theorem of the Calculus. Techniques of Integration. Squences and Infinites Series. Power Series and Taylor Series ( The Essential ). Complex Numbers.Polar Coordinates.

Textbooks :

Lessons notes
R.A.Adams: Calculus of several variables - Ed Addison-Wesley

Exam :

The exam consists in an oral part and a written one.

Tutorial Session :

2 hours per week scheduled in accordance with students.