Mathematical analysis 3 (2016/2017)



Course code
4S02756
Credits
6
Coordinator
Giandomenico Orlandi
Academic sector
MAT/05 - MATHEMATICAL ANALYSIS
Language of instruction
Italian
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 1 3 I sem. Peter Michael Schuster
Teoria 2 3 I sem. Giandomenico Orlandi

Lesson timetable

I sem.
Activity Day Time Type Place Note
Teoria 1 Monday 1:30 PM - 2:30 PM lesson Lecture Hall B from Oct 24, 2016  to Nov 7, 2016
Teoria 1 Monday 2:30 PM - 3:30 PM lesson Lecture Hall C from Oct 11, 2016  to Nov 7, 2016
Teoria 1 Wednesday 12:30 PM - 2:30 PM lesson Lecture Hall F  
Teoria 2 Monday 1:30 PM - 3:30 PM lesson Lecture Hall G from Nov 21, 2016  to Jan 31, 2017

Learning outcomes

Theory of function of one complex variable, and applications to calculus. Fourier transform and Laplace transform. Introduction to Partial Differential Equations.

Syllabus

Functions of one complex variable. Holomorphic functions. Cauchy-Riemann equations. Cauchy's integral formula. Analiticity of holomorphic functions and applications. Laurent series. Calculus of residues. Fourier transform. Laplace transform. Applications to ordinary differential equations and to to partial differential equations.

Assessment methods and criteria

Written and oral exam.

Reference books
Activity Author Title Publisher Year ISBN Note
Teoria 1 H. F. Weinberger A first course in partial differential equations: with Complex Variables and Transform Methods Dover 1995 978-0486686400
Teoria 1 John H. Mathews, Russel W. Howell Complex Analysis for Mathematics and Engineering (Edizione 6) Jones & Bartlett 2010 978-1449604455
Teoria 1 Kenneth R. Davidson, Allan P. Donsig Real Analysis and applications: theory in practice Springer 2010 978-0443042089
Teoria 1 Walter Rudin Real and Complex Analysis McGraw-Hill 1966
Teaching aids
Title Format (Language, Size, Publication date)
Bibliografia Analisi matematica III  pdfpdf (it, 29 KB, 12/10/16)

Student opinions - 2015/2016


Statistics about transparency requirements (Attuazione Art. 2 del D.M. 31/10/2007, n. 544)

Data from AA 2016/2017 are not available yet