Teacher

prof. aggr. Fabio ZUDDAS

Credits

6 CFU

Language

Italian

Objectives

Fundamentals of Logic and Algebra (Set theory, Equivalence relations, polynomials). Fundamentals of linear algebra(Linear spaces, matrices, determinants, linear maps, systems of linear equations, eigenvalues and eigenvectors, bilinear forms, hermitian forms).

Acquired skills

- Fundamentals of linear algebra.
- Elementary notions of algebra: sets, functions, fields, equivalence relations.
- Fundamental notions of linear algebra: vector spaces, bases, linear maps, matrices, determinants, linear systems, eigenvalues and eigenvectors, bilinear forms, quadratic forms.
- Basilar notions of affine and euclidean geometry: lines, planes, conics.

Lectures and exercises (topics and specific content)
(60 hours)

Logic, set theory, functions, equivalence relations (4 hours).
Resolution of systems of linear equations (8 hours).
Vector spaces, bases, dimension, coordinates (10 hours).
Linear maps, matrices, rank, determinant (10 hours).
Bilinear forms, scalar products, isometries (8 hours).
Eigenvalues, eigenvectors, diagonalization (8 hours).
Affine and euclidean geometry of lines and planes (6 hours).
Affine and euclidean geometry of conics and quadrics (6 hours).

References

- Edoardo Sernesi, “Geometria 1”, Bollati Boringhieri

Type of exam

Written and oral

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