Part 1

**A.A. 1998/99**

Lecturer: Francesco Serra Cassano

**Programme**

Recalls of the integers and rational numbers.

Introduction to real numbers. Inequalities.

Graphs and curves. Polynomials, trigonometric functions, exoponential
function and logarithm.

The derivative.

Limits of functions and continuous functions on an interval.

First applications of the derivative to sketch a graph of a function.

Area and Integration.

Higher derivatives . Taylor's formula. Series.

Introduction to the ordinary differential equations

Functions of several variables, vector fileds and line integrals.

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**Reference texts**

R.A. ADAMS, Calcolo Differenziale 1, Casa Editrice Ambrosiana,

Milano, 1992.

F.CONTI, Calcolo, McGraw-Hill, Milano, 1992.