|Teoria||6||I semestre||Lidia Angeleri|
|Esercitazioni||2||I semestre||Nicola Sansonetto|
First of all, the students are introduced to the language and formal reasoning required for the study of higher mathematics. Furthermore, the course provides the main notions and techniques of linear algebra and matrix theory, focussing both on theoretical and computational aspects. A main goal is to strengthen the student's skills in abstract thinking and calculation, in view of future developments and applications.
Sets. Direct and indirect proofs. The principle of induction. Complex numbers. Matrices, matrix operations and their properties. Determinant and rank of a matrix. Inverse matrix. Systems of linear equations. The method of Gaussian elimination. Vector spaces, subspaces, bases, dimension. Linear maps. Inner products. Eigenvalues and eigenspaces.
The exam consists of three parts:
- a written exam on the course Linear Algebra,
- a written exam on the course Elements of Geometry,
- an oral exam on both courses.
Only students that have passed both written exams will be admitted to the oral exam.
|Teoria||E.Gregorio, L.Salce||Algebra Lineare||Libreria Progetto Padova||2005|
|Teoria||Abate, M.||Algebra Lineare||Mc Graw Hill||2001|
|Teoria||F. Ayres Jr.||Algebra Moderna (con 425 problemi risolti)||McGraw-Hill||2003||88-386-5020-9|
|Title||Format (Language, Size, Publication date)|
|Ancora Esercizi di Algebra Lineare||pdf (it, 125 KB, 12/12/10)|
|Ancora Esercizi di Algebra Lineare - Soluzioni||pdf (it, 160 KB, 12/12/10)|
|Appello 1 e 2||pdf (it, 139 KB, 16/02/11)|
|Esercizi ed esempi supplementari||pdf (it, 356 KB, 24/10/10)|
|Esito Compitino Algebra Lineare 3/12/2010||pdf (it, 32 KB, 12/12/10)|
|Presentazione corso||pdf (it, 145 KB, 28/09/10)|
|Programma svolto||pdf (it, 146 KB, 03/12/10)|