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CODE 56716
ACADEMIC YEAR 2025/2026
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR MAT/03
LANGUAGE Italian (English on demand)
TEACHING LOCATION
  • GENOVA
SEMESTER 1° Semester
PREREQUISITES
Propedeuticità in uscita
Questo insegnamento è propedeutico per gli insegnamenti:
  • Civil and Environmental Engineering 8715 (coorte 2025/2026)
  • GEOMATHICS 84520
  • Civil and Environmental Engineering 8715 (coorte 2025/2026)
  • MATHEMATICAL ANALYSIS II 60243
  • Civil and Environmental Engineering 8715 (coorte 2025/2026)
  • STRUCTURAL MECHANICS II 66285
  • Civil and Environmental Engineering 8715 (coorte 2025/2026)
  • MATHEMATICAL PHYSICS 60354
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • FONDAMENTI DI TECNICA DELLE COSTRUZIONI 115346
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • URBAN PLANNING 84525
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • FONDAMENTI DI COMPOSIZIONE ARCHITETTONICA 115353
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • LABORATORIO DI COMPOSIZIONE ARCHITETTONICA 115354
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • GEOTECHNICAL PRINCIPLES 115532
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • GEOTECHNICS MODULE 1 99063
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • GEOTECHNICAL APPLICATIONS 115361
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • SANITARY AND ENVIRONMENTAL ENGINEERING 115360
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • TRANSPORT SYSTEMS AND ROAD INFRASTRUCTURES 84523
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • FONDAMENTI DI COSTRUZIONI METALLICHE 115347
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • LABORATORIO DI STRUTTURE E GEOTECNICA 115356
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • STRUCTURAL MECHANICS II 66285
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • LABORATORIO DI PIANIFICAZIONE URBANISTICA 115349
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • PRINCIPLES OF ECOLOGY 83950
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • ECOHYDROLOGY FUNDAMENTALS 115304
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • ELETTROTECNICA 115350
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • PROGETTAZIONE ESECUTIVA DELLE COSTRUZIONI E FONDAMENTI DI BIM 115351
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • HYDROLOGY & HYDRAULIC INFRASTRUCTURES 115293
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • LABORATORIO DI COSTRUZIONI IDRAULICHE 115357
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • HYDRAULICS 60397
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • HYDRAULICS PART 1 118358
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • MATHEMATICAL PHYSICS 60354
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • ENVIRONMENTAL APPLIED PHYSICS 60357
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • GEOMATHICS 84520
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • STRUCTURAL MECHANICS I MODULE 2 72508
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • BUILDING TECHNOLOGIES LABORATORY 115289
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • MATHEMATICAL ANALYSIS 2 60235
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • HYDRAULICS PART 2 118359
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • STRUCTURAL MECHANICS I MODULE 1 72507
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • BUILDING TECHNOLOGIES 56600
  • INGEGNERIA CIVILE, EDILE E AMBIENTALE 11949 (coorte 2025/2026)
  • TECHNICAL SYSTEMS 60358

OVERVIEW

The course is designed to provide the basic concepts and tools of linear algebra and analytic geometry. It is a first-semester, first-year course in which concepts that will be used in many subsequent courses are introduced.

AIMS AND CONTENT

LEARNING OUTCOMES

This teaching unit aims to provide the basic concepts and technical tools related to complex numbers, linear algebra, and analytic geometry.

AIMS AND LEARNING OUTCOMES

The main goal of the course is to provide basic concepts of linear algebra and geometry, aiming at the development of a scientific approach to these topics and of the necessary tools to solve problems. Students are expected to gain the skills of understanding the text of a problem, look for solutions by means of the appropriate tools among the ones introduced in the course, solve the problem using appropriate arguments and express the results and conclusion in a clear and precise way.

PREREQUISITES

Basic knowledge of arithmetics, algebra, analysis, trigonometry and set theory.

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  devoted to discussion of exercises suggested by the lecturer.

Students having disabilities or Specific Learning Disorders can request suitable aids for the examinations. Such aids will be defined according to specific needs, together with the Referent for the Polytechnic School of the Committe for the inclusion of Students with Disabilites and with SLD. Students in such conditions are invited to get in touch (via e-mail) with the Teacher a sufficient time before the examination, inserting in copy the Referent for the Polytechninc School (https://unige.it/en/commissioni/comitatoperlinclusionedeglistudenticondisabilita.html), without sending any document about their disabilites.

SYLLABUS/CONTENT

Basics on sets and functions. Complex numbers and polynomials. Systems of linear equations and Gauss' algorithm. Matrices, determinant and rank. Cartesian system of coordinates, points, lines and planes: cartesian and parametric equations, angles, distance, orthogonal projections. Free and applied vectors, their geometrical representation, scalar/cross product, their basic geometric properties and their significance. Vector spaces, subspaces, basis and dimension. Linear operators and the associated matrices (translations and rotations along the axis), base change (orthonormal). Eigenvalues, eigenvectors and diagonalization of matrices (symmetric and orthogonal) and their geometric significance. Quadratic forms, circles, spheres and conics.

RECOMMENDED READING/BIBLIOGRAPHY

  • A. Bernardi, A. Gimigliano: Algebra Lineare e Geometria Analitica, Città Studi Edizioni
  • E. Sernesi: Geometria vol. 1, Bollati-Boringhieri
  • D. Gallarati: Appunti di Geometria, Di Stefano Editore-Genova
  • M.R. Casali, C. Gagliardi, L. Grasselli: Geometria, Società Editrice Esculapio
  • F. Odetti, M. Raimondo: Elementi di Algebra Lineare e Geometria Analitica, ECIG Universitas
  • M. Abate: Algebra Lineare, McGraw-Hill
  • L. Robbiano: Algebra lineare per tutti, Springer
  • F. Bottacin: Esercizi di algebra lineare e geometria, Società Editrice Esculapio
  • V. Bertella, A. Damiano: Esercizi su spazi vettoriali e applicazioni lineari, Società Editrice Esculapio
  • L. Mauri, E. Schlesinger: Esercizi di algebra lineare e geometria, Zanichelli

Material provided by the lecturer, available on the AulaWeb webpage of the course.

TEACHERS AND EXAM BOARD

LESSONS

LESSONS START

In accordance with the manifesto. All class schedules are posted on the EasyAcademy portal.

 

Class schedule

The timetable for this course is available here: Portale EasyAcademy

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.

ASSESSMENT METHODS

The written exam is intended to verify the student's capacity to solve problems, apply the main algorithms in the course, and show a good understanding of the main theoretical concepts developed during the semester, such as main theorems and definitions. The oral exam aims to verify the student's understanding of the basic concepts, definitions, and properties, seen during the course.

FURTHER INFORMATION

Ask the professor for other information not included in the teaching schedule.

Agenda 2030 - Sustainable Development Goals

Agenda 2030 - Sustainable Development Goals
Quality education
Quality education
Gender equality
Gender equality