73147 - Algebra and Geometry (1)

Learning outcomes

At the end of this course, students are supposed to have learnt some basic notions in abstract algebra (Euclidean algorithm and congruence relations) and in linear algebra. They will be able to solve linear systems and to study linear maps.

Course contents

Linear Systems
Matrices
Gaussian elimination
Real vector spaces and subspaces
Linear maps
Eigenvalues and eigenvectors
Diagonalization of matrices
Introduction to congruences Introduction to combinatorics

Readings/Bibliography

Fioresi Rita, Morigi Marta, Introduzione all'algebra lineare, Edizioni CEA (2015)

Teaching methods

Lectures and exercises will be alternated in order to explain theoretical concepts through a large number of examples. Students will be asked to actively participate in the lessons, asking and answering questions.

Assessment methods

The exam is both written and oral. Students are allowed to the oral exam after passing the written exam with at least 16/30. Written and oral tests
bust be given in the same exam session.
The final vote is not the result of the arithmetic mean between the written and oral tests but rather the result of an overall assessment of the preparation of
the student, based on the written test which has, therefore, a decisive weight. The subjects of the examination are all and only those of the lectures
and listed in the programme available in the Professor's web page dedicated to the course.

Teaching tools

Notes will be given, together with exercises both solved and to be solved, and examples of exam texts.

Links to further information

http://www.dm.unibo.it/~mmorigi/informatica/ag_14-15.html

Office hours

See the website of Marta Morigi