LEARNING OUTCOMES

L’insegnamento ha l’obiettivo di fornire conoscenze e competenze operative sui principali strumenti matematici per il calcolo numerico, con particolare riferimento alla loro applicazione nell’ambito della bioingegneria

AIMS AND LEARNING OUTCOMES

The course will provide the mathematical basis allowing the student to treat a diverse class of problems of interest in the field of bioengineering; lectures will focus on both computational techniques, as well as modeling tools for complex systems. In order to better understand the presented topics, theoretical lectures will be complemented by exercises also involving the use of the PC.

At the end of the couse, the student will be able to

• select the proper mathematical tools for solving a large class of problems;
• understand potential and limitations of the learned techniques;
• use the PC to analyze and explore mathematical models of complex systems.

PREREQUISITES

elements of calculus and linear algebta

TEACHING METHODS

Lectures

SYLLABUS/CONTENT

• Elements of linear algebra and matrix computation
• Iterative algorithms
• Polinomial interpolation and splines
• Numerical integration
• Least squares and inverse problems
• Statistical approach to inverse problems
• ODE
• PDE
• Elements of calculus of variations
• Introduction to dynamical systems

RECOMMENDED READING/BIBLIOGRAPHY

Lecture notes provided by the teacher