AIMS AND CONTENT

LEARNING OUTCOMES

The aim is to achieve good knowledge of differential and integral calculus for one or two variables functions.

LEARNING OUTCOMES (FURTHER INFO)

The aim is to achieve good knowledge of differential and integral calculus for one or two variables functions.

TEACHING METHODS

Lectures and exercises.

SYLLABUS/CONTENT

Real numbers, decimal representation, errors.
Functions of one real variable. Elementary functions and their graphs. Composed and inverse functions.Limits of fuctions. Linearization, differentiation. Derivatives: monotone and convex functions. Continue functions. Zeroes of functions: bisection and Newton algorithms. Taylor polynomial, maxima and minima. Integral calculus of one variable functions. Linear and separable differential equations: graphical, numerical and formal integration.
Functions of two (or more) real variables.
Graphical rappresentation of two real variables functions. Differential calculus for two (or more) real variables functions. Integral calculus for two variables functions. Optimization of two (or more) variables functions.
Some elements in Laplace transform.

RECOMMENDED READING/BIBLIOGRAPHY

F. Parodi, T. Zolezzi, Appunti di Analisi matematica, ECIG, 2007
R. A. Adams, Calcolo differenziale 1 & 2, Casa Editrice Ambrosiana, 2007
A. Bacciotti, F. Ricci, Lezioni di Analisi Matematica 1 e 2, Levrotto & Bella, 1991.
M. Bramanti, C. Pagani, S. Salsa, Analisi matematica 1 e 2 Zannichelli, 2008

TEACHERS AND EXAM BOARD

Exam Board

FRANCO PARODI (President)

MARCO BARONTI

MARIA LUISA BENNATI

MARIA VIRGINIA CATALISANO

LESSONS

LESSONS START

Tuesday, September 19

Class schedule

MATHEMATICAL ANALYSIS 1

EXAMS

EXAM DESCRIPTION

Written and oral examination, partly based on intermediate written test during the course.
 

ASSESSMENT METHODS

Intermediate written test during the course. Final examination.

Exam schedule

FURTHER INFORMATION

Pre-requisites: None