Mathematical analysis 3 (2014/2015)

Course code
4S02756
Name of lecturer
Giandomenico Orlandi
Coordinator
Giandomenico Orlandi
Number of ECTS credits allocated
6
Academic sector
MAT/05 - MATHEMATICAL ANALYSIS
Language of instruction
Italian
Period
I sem. dal Oct 1, 2014 al Jan 30, 2015.

Lesson timetable

I sem.
Day Time Type Place Note
Tuesday 11:30 AM - 1:30 PM lesson Lecture Hall E  
Friday 8:30 AM - 10:30 AM lesson Lecture Hall B  

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.

Reference books
Author Title Publisher Year ISBN Note
H. F. Weinberger A first course in partial differential equations: with Complex Variables and Transform Methods Dover 1995 978-0486686400
John H. Mathews, Russel W. Howell Complex Analysis for Mathematics and Engineering (Edizione 6) Jones & Bartlett 2010 978-1449604455
Kenneth R. Davidson, Allan P. Donsig Real Analysis and applications: theory in practice Springer 2010 978-0443042089

Assessment methods and criteria

Written and oral exam.

Teaching aids

Documents