MATHEMATICAL METHODS FOR BIOENGINEERING

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Code
106735
ACADEMIC YEAR
2021/2022
CREDITS
6 credits during the 1st year of 11159 BIOENGINEERING (LM-21) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/08
TEACHING LOCATION
GENOVA (BIOENGINEERING)
semester
1° Semester
Teaching materials

OVERVIEW

The course will introduce and analyze fundamental tools for the numerical solution of mathematical problems and for the mathematical modeling of complex systems, with application in the field of Bioengineering.

AIMS AND CONTENT

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

TEACHERS AND EXAM BOARD

Office hours: By appointment

LESSONS

TEACHING METHODS

Lectures

Class schedule

All class schedules are posted on the EasyAcademy portal.

EXAMS

EXAM DESCRIPTION

Oral exam

Exam schedule

Date Time Location Type Notes
13/01/2022 09:30 GENOVA Orale
02/02/2022 09:30 GENOVA Orale
08/06/2022 09:30 GENOVA Orale
06/07/2022 09:30 GENOVA Orale
16/09/2022 09:30 GENOVA Orale