OVERVIEW

The aim of the course is to teach differential and  integral calculus in more variables and the grounding of ordinary differential equations and functions of several variables, numeriucal series and series of functions.

AIMS AND CONTENT

LEARNING OUTCOMES

The main objective of the course is to provide students tools for differential and integral calculus and methods for numerical integration for Cauchy problems and  for definite integrals.

AIMS AND LEARNING OUTCOMES

Double and triple integrals; changes of variable in multiple integrals: polar, cylindrical, spherical coordinates. Rotations and expansions. Curvilinear integrals of scalar functions. Length of a curve, Gauss-Green formulas. Surfaces, surface area, surface integrals. System of linear differential equations, Cauchy problem, numerical methods, numerical series and series of functions.

TEACHING METHODS

Lessons and tutorials in classroom.

SYLLABUS/CONTENT

Double and triple integrals; changes of variable in multiple integrals: polar, cylindrical, spherical coordinates. Rotations and expansions. Curvilinear integrals of scalar functions. Length of a curve, Gauss-Green formulas. Surfaces, surface area, surface integrals. System of linear differential equations, Cauchy problem, numerical methods, numerical series and series of functions.

RECOMMENDED READING/BIBLIOGRAPHY

Fusco N., Marcellini P., Sbordone C., Analisi Matematica 2, Liguori, 1996;

Parodi F., Appunti sulle serie

Zolezzi T., Analisi Matematica e calcolo numerico, CLU, Genova

TEACHERS AND EXAM BOARD

Exam Board

MARCO BARONTI (President)

FRANCO PARODI

DANILO PERCIVALE

LESSONS

LESSONS START

September 2016

Class schedule

MATHEMATICAL ANALYSIS 2

EXAMS

EXAM DESCRIPTION

Written an oral examination.

ASSESSMENT METHODS

Written an oral examination.

Exam schedule

FURTHER INFORMATION

Prerequisites: Mathematical analysys 1