Integrative teaching
Andrea Carlo Giuseppe Mennucci
Examination procedure
written test 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 andapplications. Jordan form and matrix exponential.Introduction to ODEs. Fundamentals of probability theory.
Bibliographical references
PDF notes.
Gerald Teschl , Ordinary Di?erential Equations and Dynamical SystemsAMS graduate studies in math 140 ; versione 27 Giugno 2012(free download)