AIMS AND CONTENT

LEARNING OUTCOMES

Basic methods for the analysis of vector functions of two or three variables. Orthogonal sets of function and series convergence. Analysis and properties of functions on the complex plane. Tecnical skills on path and surface integrals, series expansion, integration on the complex plane.

TEACHING METHODS

Lectures with examples and application to simple physical problems.

SYLLABUS/CONTENT

First part:  Maxima and minima with constraints. Vector analysis: Differential forms and path integrals, vector fields, circulation, flux, divergence and Stokes theorems.

Second part: Fourier series and applications

Third part: Functions of a complex variable. Analytic functions and McLaurin series. Residue theorem and application to improper integrals. Fourier Transform and applications. Laplace transform.

RECOMMENDED READING/BIBLIOGRAPHY

• Lecture notes by the teacher (on Aulaweb)
• L. Recine, M. Romeo,  Esercizi di Analisi Matematica (vol 2, Funzioni di più variabili ed equazioni differenziali), 2^ edizione, Maggioli (2013)
• G.C. Barozzi, Matematica per l’Ingegneria dell’informazione, Zanichelli 2004.
• G. B. Folland, Fourier Analysis and its applications, Wadsworth, Belmont, 1992.
• J.E. Marsden and M.J. Hoffman , Basic  Complex Analysis, Freeman and Co., New York, 1987. 

TEACHERS AND EXAM BOARD

Exam Board

MAURIZIO ROMEO (President)

CLAUDIO ESTATICO

LESSONS

LESSONS START

September, 19, 2016

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

A written test on  tecnical skills. This is a prerequisite for an oral exam concerning theoretical issues.

ASSESSMENT METHODS

The written test consists of some exercises on maxima and minima with constraint, vector fields, Fourier series, functions of complex variables.

The objective of the spoken exam is to verify the student's knowledge about: Applications of vector functions, basic theorems on vector fields, Fourier series and their convergence, Analytic functions and integrals in the complex plane, Fourier transforms.

Exam schedule