OVERVIEW

The course is aimed at second year students who have acquired the fundamental knowledge related to the functions of one and two variables, to plane analytical geometry and linear algebra

AIMS AND CONTENT

LEARNING OUTCOMES

The course aims to provide the basics on  Integration of functions of multiple variables, Integration on curves and surfaces, Vector fields

AIMS AND LEARNING OUTCOMES

at the end of this activity and after clearing the corresponding exam, the student will be able to

- compute integrals of vector fields along curves in space

- compute multiple and surface integrals

- compute solutions of linear differential equations of the second order

PREREQUISITES

Differential calculus for functions of one and two variables. Integration of the functions of one variable.

Plane analytic geometry,  linear algebra

TEACHING METHODS

Lectures and exercises in presence

SYLLABUS/CONTENT

double integrals

surface integrals

integral along curves

gauss' and stokes' theorems

potential theory

differential equations of the second order with constant coefficients

RECOMMENDED READING/BIBLIOGRAPHY

T. Apostol, vol 3: analisi 2 and handouts provided by the lecturers

TEACHERS AND EXAM BOARD

Exam Board

Anna Maria MASSONE (President)

CRISTINA CAMPI

MICHELE PIANA (President Substitute)

LESSONS

LESSONS START

see easy-academy

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

Written exam followed by an oral exam

ASSESSMENT METHODS

The written part will consist in the resolution of exercises on the topics of the teaching programme (see also the Aims and Learning Outcomes section). Through the resolution of the exercises the student will be evaluted in:
- her skills in identifying the theoretical and practical results which are necessary to approach and solve the problems, and general knowledge of the very same results;
- her skills in applying the suitable algorithms and procedures to solve the exercises;
- her skills in providing the right arguments and justifications for the involved steps she follows.

During the oral part the teacher will evaluated the student's knowledge which has not been positively emerged during the written part. At the same time, the teacher will evaluate her knowledge on the topics which have not been covered by the written part

Exam schedule