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## GEOMETRY

CODE 80589 2022/2023 6 cfu during the 1st year of 8713 INGEGNERIA BIOMEDICA (L-8) - GENOVA MAT/03 Italian GENOVA 1° Semester Prerequisites (for future units) This unit is a prerequisite for: Biomedical Engineering 8713 (coorte 2022/2023) SYSTEMS' THEORY 80150 AULAWEB

## OVERVIEW

The course is aimed at providing the basic concepts and tools of linear algebra and analytic geometry. It is a first semester course of the first year which introduces concepts that will be used in many subsequent courses.

## AIMS AND CONTENT

### LEARNING OUTCOMES

Basic teaching of linear algebra and analytic geometry. Complex numbers. Linear systems, Gaussian elimination, matrices and determinants. Vector spaces. Eigenvalues and diagonalization. Quadratic forms. Analytic geometry in the plane and in space.

### AIMS AND LEARNING OUTCOMES

The course aims to provide basic concepts of linear algebra and analytic geometry, developing a "scientific" approach to study and an ability to use the tools provided to solve problems.
The student is expected to reach the ability to understand the text of an exercise / problem, set solutions through appropriate tools (chosen from those provided in the course), solve exercises / problems in a "non-mechanical", reasoned, autonomous way and express results and conclusions clearly and precisely.

### PREREQUISITES

Basic mathematical knowledge acquired in school

### TEACHING METHODS

Lectures will be devoted to developing the theoretic part of the course, as well as to solving problems aimed to a better understanding of the theory. There will be additional hours (tutorato) devoted to discussion of exercises suggested by the lecturer.

### SYLLABUS/CONTENT

Sets. Complex numbers and polynpmials. Linear systems, matrices, gaussian elimination, rank and determinants. Vector spaces, homomorphisms and diagonalization. Quadratic forms. Analytic geometry in 2-space and 3-space.

A.Bernardi, A.Gimigliano, Algebra Lineare e Geometria Analitica, Citta' Studi Edizioni.
Material provided by the lecturer, available on the AulaWeb webpage of the course.

## TEACHERS AND EXAM BOARD

### Exam Board

EMANUELA DE NEGRI (President)

ALESSANDRO DE STEFANI

ELEONORA ANNA ROMANO

ARVID PEREGO (President Substitute)

## LESSONS

### LESSONS START

In accordance with the manifesto.

### Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

### EXAM DESCRIPTION

Written test consisting of some exercises to be solved of the type seen during the course and possible oral test. Details will be communicated on Aulaweb.

Students with DSA certification ("specific learning disabilities"), disability or other special educational needs are advised to contact the teacher at the beginning of the course to agree on teaching and examination methods that, in compliance with the teaching objectives, take account of individual learning arrangements and provide appropriate compensatory tools.

### ASSESSMENT METHODS

`The exam verifies that the student has acquired the required skills, and knows how to use and express them in correct terms. In particular, it will assess the ability to solve exercises relating to the main topics covered in the course, with adequate explanations on the procedure and a clearly expressed conclusion.`

### Exam schedule

Date Time Location Type Notes
18/01/2023 10:00 GENOVA Scritto
20/01/2023 10:00 GENOVA Orale
13/02/2023 10:00 GENOVA Scritto
15/02/2023 10:00 GENOVA Orale
12/06/2023 10:00 GENOVA Scritto
16/06/2023 10:00 GENOVA Orale
03/07/2023 10:00 GENOVA Scritto
05/07/2023 10:00 GENOVA Orale
04/09/2023 10:00 GENOVA Scritto
08/09/2023 10:00 GENOVA Orale