To show the organization of the course that includes this module, follow this link Course organization
|Tuesday||8:30 AM - 11:30 AM||lesson||Lecture Hall E||from Oct 1, 2013 to Nov 30, 2013|
|Wednesday||8:30 AM - 11:30 AM||lesson||Lecture Hall E||from Oct 1, 2013 to Nov 30, 2013|
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 (second part) 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.
The course aims at strengthening the students' skills in abstract thinking, geometric intuition, and computational abilities, 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. Eigenvalues and eigenspaces.
|E.Gregorio, L.Salce||Algebra Lineare||Libreria Progetto Padova||2005|
|Candilera,Bertapelle||Algebra lineare e primi elementi di Geometria||Mc Graw Hill||9788838661891|
|M. Abate||Geometria||Mc Graw Hill||9788838607226|
|M. Abate, C. de Fabritiis||Geometria analitica con elementi di algebra lineare||McGraw Hill||2010||9788838665899|
The exam consists of:
- a joint written examination on the module Linear Algebra and the module Elements of Geometry,
- a joint oral examination on both modules.
Only students who have passed the written examination will be admitted to the oral examination.