|SCIENTIFIC DISCIPLINARY SECTOR||MAT/03|
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.
The course aim to providing students with the competence to operate in the following fields: 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. Elements of analytic geometry.
Elementary knowledge of arithmetic, algebra, trigonometry, and set theory.
1. Sets and functions
2. Complex numbers
3. Polynomials and factorization in R[X] and C[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. Geometry in two-dimensional and three-dimensional spaces (lines, planes, circles, spheres).
Office hours: By appointment.
All class schedules are posted on the EasyAcademy portal.
Written exam consisting of exercises on the topics in the course program.
Students with DSA certification («specific learning disabilities»), disability or other special educational needs are advised to contact the teacher at the beginning of the course to establish teaching and examination methods that, in compliance with the teaching objectives, take account of individual learning arrangements and provide appropriate compensatory tools.
The exams evaluates the ability to solve geometric problems by applying the techniques learnt during the course. The evaluation takes into account the quality and correctedness of the exposition and the precision of the reasonement employed.