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CODE 105937
ACADEMIC YEAR 2025/2026
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR MAT/03
LANGUAGE Italian
TEACHING LOCATION
  • LA SPEZIA
SEMESTER 1° Semester
PREREQUISITES
Propedeuticità in uscita
Questo insegnamento è propedeutico per gli insegnamenti:
  • NAUTICAL PRODUCT DESIGN 11940 (coorte 2025/2026)
  • APPLIED PHYSICS 108374
  • NAUTICAL PRODUCT DESIGN 11940 (coorte 2025/2026)
  • STRUCTURAL MECHANICS 98937
  • NAUTICAL PRODUCT DESIGN 11940 (coorte 2025/2026)
  • NAVAL ARCHITECTURE 108388
  • NAUTICAL PRODUCT DESIGN 11940 (coorte 2025/2026)
  • PRINCIPLES OF STATICS AND HULL GEOMETRY 108345

OVERVIEW

The course provides an introduction to linear algebra and analytic geometry, with particular focus on matrix computations, on vector spaces and on solving linear systems and analitical geometry problems in 2 and 3 dimensions

AIMS AND CONTENT

AIMS AND LEARNING OUTCOMES

The course  will give to the students basic tools of linear algebra and analytic geometry. A goal of the course is to train the student to follow logical deductive arguments, and to use the proper formal language. The student will learn to solve some linear algebra problems, that generally occur as intermediate steps in the solution of more complex mathematical models for engineering problems

PREREQUISITES

Elementary knowledge of arithmetic, algebra, trigonometry, set theory.

TEACHING METHODS

Frontal Lectures (52 hours)

SYLLABUS/CONTENT

Sets and maps. Complex numbers and polynomials. Linear systems and gaussian elimination. Matrices, determinants, rank. Vector spaces. Vectors in geometry. Subspaces, bases, dimension. Linear maps. Matrices related to a linear map. Eigenvalues, eigenvectors. The diagonal form of a matrix. Quadratic forms. Systems of cartesian coordinates, linear changes of coordinates. Points, lines and planes: cartesian and parametric equations, parallelism, angles, distances, orthogonal projections. Conics.

RECOMMENDED READING/BIBLIOGRAPHY

  • Lecture notes (Perelli-Catalisano) (see http://www.diptem.unige.it/catalisano/ )
  • E.Carlini, M.V.Catalisano, F.Odetti, A.Oneto, M.E.Serpico, GEOMETRIA PER INGEGNERIA - Una raccolta di temi d'esame risolti, ProgettoLeonardo - Editore Esculapio (Bologna), 2011.
  • S.Greco, P.Valabrega, Algebra lineare, Levrotto & Bella, 2009.
  • S.Greco, P.Valabrega, Geometria analitica, Levrotto & Bella, 2009.
  • Odetti-Raimondo – Elementi di algebra lineare e geometria analitica – ECIG, 2002.

Web site:

http://www.diptem.unige.it/catalisano/default.htm

LESSONS

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The examination consists of a written part and an oral discussion. The written part is made up  of 10 questions that cover all the material of the course.

The use of notes, books, or electronic devices  is forbidden.

 

ASSESSMENT METHODS

The questions of the written part will verify both the operational skills through problem solving and the learning of the theory, such as definitions and theorems. During the oral test there will be a discussion about the written part and two to three additional questions.