Integrative teaching
Andrea Carlo Giuseppe Mennucci
Examination procedure
written and oral exam
Prerequisites
First year calculus and linear algebra
Syllabus
Fundamentals of measure theory, integration,
L^p spaces. Hilbert spaces and orthonormal bases.
Fourier series. Distributions. Fourier transform and
applications. Jordan form and matrix exponential.
Introduction to ODEs. Fundamentals of probability theory.
Bibliographical references
Course lecture notes (in PDF)
Gerald Teschl , Ordinary Differential Equations and
Dynamical Systems
AMS graduate studies in math 140 ; versione 27 Giugno
2012
(free download)