Mathematics fundamentals for biology and chemistry
Prerequisiti
First year calculus and linear algebra
Programma
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.
Obiettivi formativi
This course couples a rich (altough elementary) study of the theoretical elements of the program, with the applications of aforementioned theories to problems, mostly coming from effective experimental models.
Riferimenti bibliografici
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)