1. [I]nfo
  2. [M]oduli
  3. [B]acheca
  4. [P]rogramma
  5. [O]rari
  6. [E]sami
  7. E[v]enti
  8. [F]iles

Generali:

  • Dipartimento: Ingegneria
  • Settore Ministeriale: MAT/03
  • Codice di verbalizzazione: 8037949
  • Metodi di insegnamento: Frontale E Altro
  • Metodi di valutazione: Scritto E Orale
  • Prerequisiti: none
  • Obiettivi: LEARNING OUTCOMES:The course aims to provide an introduction to linear algebra and Euclidean analytical geometry. KNOWLEDGE AND UNDERSTANDING: At the end of the course, the student is supposed to know the notions of vector space, linear combination, generated vector subspace, linear dependence and independence, basis, solution of a linear system, matrices and their rank, linear application and core and image, diagonalisation of linear applications and quadratic forms, linear geometric subspace and its lay, conic and its classification criteria. APPLYING KNOWLEDGE AND UNDERSTANDING: At the end of the course, the student is supposed to be able to determine the rank of a matrix, to discuss the solvability and to solve linear systems with a finite number of indeterminates, to determine the dimension and a basis of subspaces of numerical spaces or geometric vectors, to apply the Gauss method of reduction, to represent linear applications between vector spaces of finite dimension and to determine their nucleus and image, to discuss the diagonalisation of square matrices and to diagonalise them, to represent linear geometric subspaces and their intersections/subspaces in parametric and Cartesian form, to classify plane conics, to represent and classify quadratic forms, to apply the notions of linear algebra to the study of geometric situations and vice versa. MAKING JUDGEMENTS: he student will be able to discuss and verify the correctness of reasoning involving the studied notions of linear algebra and Euclidean analytic geometry. He will also be able to apply linear algebra in solving problems in affine and Euclidean geometry. COMMUNICATION SKILLS: the student will be able to explain and argue the solution of problems; he/she will also be able to discuss and correctly reproduce definitions and demonstrations of results related to vector spaces, affine and Euclidean spaces. LEARNING SKILLS: The student will be able to read and learn by himself more advanced topics of linear algebra related to solving linear systems and matrix decompositions useful for numerical applications.
  • Ricevimento: su appuntamento

Didattica:

  • A.A.: 2021/2022
  • Canale: UNICO
  • Crediti: 9
  • Obbligo di Frequenza: No

Classe virtuale:

  • Nome classe: TOVENA-8037949-LINEAR_ALGEBRA_AND_GEOMETRY
  • Link Microsoft Teams: Link
  • Docente: TOVENA FRANCESCA
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