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Mathematical Methods for Bioengineering
Neculai Sinel Teleman

Seat Ingegneria
A.A. 2015/2016
Credits 6
Hours 48
Period II
Language ENG

Prerequisites
University differential and integral calculus. University goemetry courses.

Learning outcomes
Know the tools and techniques of integration in several variables: line integrals, surface and volume. Know the methods for solving differential equations. Know the tools and techniques of complex analysis and the operational calculus (Fourier and Laplace). Ability to apply them in solving scientific and technological problems.

Program
Distance function on R. Euclidean distance function. Topological spaces. Open and closed sets. Abstruct topological spaces. Bases in topological spaces. Homeomorphisms. Schauder bases. Bases of neighbourhoods in topological sapaces. Minkowski space. Spaces of sequences. Banach Spaces. Hilbert spaces. Completment of metric spaces. Fourier series. Fourier transform. Continuity of Fourier transform. Spaces of distributions.

Development of the examination
LEARNING EVALUATION METHODS
exam

LEARNING EVALUATION CRITERIA
final exam

LEARNING MEASUREMENT CRITERIA
exam performance

FINAL MARK ALLOCATION CRITERIA
minimum 18/30

Recommended reading
Courses notes

Courses

• Biomedical Engineering (Corso di Laurea Magistrale (DM 270/04))