The course provides basic knowledge of linear algebra and analytical geometry. In particular, matrix calculus, the resolution of linear systems, the concepts of vector space and linear application, the resolution of analytical geometry problems in space are addressed.
The course provides the basic notions and tools of linear algebra and analytic geometry in plane and space, with particular reference to vector calculus and linear applications.
Attendance and active participation in lessons and individual study will allow the student to acquire the basic notions of linear algebra. Initially, some topics are introduced (complex numbers, polynomials, matrices, linear systems) which, in addition to having their own relevance, facilitate the understanding of the concepts illustrated subsequently. The theory is then applied to the study of geometry in space. Finally, the fundamental aspects of the theory of diagonalization and linear applications are illustrated.
At the end of the course the student will be able to:
- apply the concepts of linear algebra in the study of the topics; - logically structure a mathematical argument; - understand the concepts underlying algorithmic problem-solving procedures; - solve problems and exercises relating to the topics covered in the course; in particular, in relation to specific problems he will be able to understand which techniques can be used, and which already known results applied, to resolve the issue addressed; - explain the procedures adopted to solve the exercises.
The course consists of lectures held by the teacher in which the theory will be exposed, which will be applied to examples and exercises.
In their personal work, the student must acquire the knowledge and concepts illustrated during the lessons and be able to solve exercises.
Attendance is not mandatory but recommended, in order to make learning more effective. Students who have valid certifications for Specific Learning Disorders (DSA), for disabilities or other educational needs are invited to contact the professor and the contact person for disabilities of the Polytechnic School, Prof. Federico Scarpa (federico.scarpa@unige.it), at the beginning of the course to agree on any teaching methods that, in compliance with the objectives of the course, take into account their individual learning approach.
All the teaching material will be available on aul@web.
This material and the notes taken by the student during classes are sufficient to prepare the exam. The books listed are suggested as support texts, but students may also use other university-level geometry texts, as long as they are editions published within the last 5 years.
https://corsi.unige.it/en/corsi/11941/studenti-orario
The timetable for this course is available here: EasyAcademy
The exam includes a written test that focuses on the topics covered in the course. To take the written test you must register for the official exam sessions available on the website https://servizionline.unige.it/studenti/esami/prenotazione. The exam is passed if the student has achieved a score of at least 18.
In the written test, the questions aim to verify both the operational skills acquired by the student, through the resolution of exercises, and the learning of the theoretical concepts covered in the course.
The use of notes, texts or electronic devices is not permitted.
The correct use of specialist vocabulary and critical reasoning ability contribute to the final assessment.
Ask the professor for other information not included in the teaching schedule.
