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Mathematics fundamentals for biology and chemistry

Schedule

Thursday, 10 October 2019 to Tuesday, 28 April 2020
Total hours: 50
Hours of lectures: 40
Hours of supplementary teaching: 10

Examination procedure

  • Written test
  • 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.

Educational goals:

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.

Bibliographical references

Gerald Teschl , Ordinary Differential Equations and Dynamical Systems
AMS graduate studies in math 140 ; versione 27 Giugno 2012
(free download)