Linear Algebra and Elements of Geometry - ELEMENTI DI GEOMETRIA (2017/2018)

Course code
4S00253
Name of lecturer
Alberto Benvegnu'
Number of ECTS credits allocated
6
Academic sector
MAT/03 - GEOMETRY
Language of instruction
Italian
Period
II sem. dal Mar 1, 2018 al Jun 15, 2018.

To show the organization of the course that includes this module, follow this link * Course organization

Lesson timetable

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Learning outcomes

First of all, the students are introduced to the language and formal reasoning required for the study of higher mathematics. Furthermore, the main notions and techniques of linear algebra and matrix theory are presented, focussing both on theoretical and computational aspects. Moreover, the course provides an introduction to planar and spatial analytic geometry, within the projective, affine, and euclidean setting. Finally, the main properties of conics will be discussed. Both analytical (coordinates, matrices) and synthetic tools will be employed.

Syllabus

Eigenvalues and eigenvectors. Jordan canonical form. Affine and Euclidean spaces. Lines, planes, hyperplanes. Vector product and mixed product. Affine and isometric transformations. Projective spaces. Geometry of projective plane. Conics.

Reference books
Author Title Publisher Year ISBN Note
Abate, M. Algebra Lineare Mc Graw Hill 2001
Candilera,Bertapelle Algebra lineare e primi elementi di Geometria Mc Graw Hill   9788838661891

Assessment methods and criteria

see Linear Algebra

STUDENT MODULE EVALUATION - 2017/2018