The course provides an introduction to linear algebra and analytic geometry, with particular focus on matrix computations, on vector spaces and on solving linear systems and analitical geometry problems in 2 and 3 dimensions.
The course provides an introduction to linear algebra and analytic geometry with particular focus on matrix computations, on vector spaces and on solving linear systems and analitical geometry problems in 2 and 3 dimensions.
Computation of expressions with complex numbers. Roots of a complex number. Roots and factorization of polynomials. Calculations with matrices and linear maps. Solving systems of linear equations. Vector operations. Solving geometric problems by means of vectors, matrices, cartesian coordinates, and algebraic equations. Identification and canonical form of conics.
Elementary knowledge of arithmetic, algebra, trigonometry, and set theory.
60 hours of lectures and 6 exercise sessions
1. Sets and functions 2. Complex numbers 3. Polynomials and factorization in R[x]. 4. Matrices. Gauss’ method solving linear systems 5. Determinant and rank of matrices 6. Vector spaces and homomorphisms 7. Diagonalizability. Eigenvalues and Eigenvectors. Symmetric real matrices. 8. Linear geometry and conics.
Ricevimento: By appointment
SARA NEGRI (President)
CHIARA CAMERE
MICHELA LAVAGGI
MARIA EVELINA ROSSI
GRETA CORAGLIA (President Substitute)
ALESSANDRO DE STEFANI (President Substitute)
September 25, 2020
GEOMETRY
Written exam and possibility of oral exam upon request.
Solve basic exercises concerning the main topics of the program showing knowledge of the theory.
