58414 - Algebra and Geometry

Course Unit Page

  • Teacher Rita Fioresi

  • Credits 10

  • SSD MAT/03

  • Teaching Mode Traditional lectures

  • Language Italian

  • Course Timetable from Sep 24, 2018 to Dec 20, 2018

Academic Year 2018/2019

Learning outcomes

The student will learn the theory of vector spaces (real and complex) of finite dimension and linear applications. The students will also learn the basic notions of geometry in plane and space. In particular, how to find the solution of linear systems, determine eigenvalues and eigenvectors of a matrix, solve simple problems of geometry.

Course contents

Geometry in three dimensions. Theory of vector spaces, bases and dimension. Linear maps, dimension theorem. Linear system, Rouche-Capelli theorem. Scalar products, spectral theorem. Dual spaces and tensors.

Readings/Bibliography

Linear Algebra, S. Lang

Teaching methods

Lectures in class

Assessment methods

Written and oral test

Office hours

See the website of Rita Fioresi