Linear Algebra
| Áreas Científicas |
| Classificação |
Área Científica |
| OFICIAL |
Matemática |
Ocorrência: 2020/2021 - 1S
Ciclos de Estudo/Cursos
| Sigla |
Nº de Estudantes |
Plano de Estudos |
Anos Curriculares |
Créditos UCN |
Créditos ECTS |
Horas de Contacto |
Horas Totais |
| BINF |
49 |
Study Plan |
1 |
- |
5 |
75 |
135 |
Docência - Responsabilidades
Língua de trabalho
Portuguese
Objetivos
To acquire some calculus techniques which are widely used in other curricular units; among these techniques we highlight matrix techniques, representation of linear equation systems and their resolution, determinants and their applications as well as linear spaces and linear transformations.
Resultados de aprendizagem e competências
Not applicable.
Modo de trabalho
Presencial
Programa
Matrices: Definition. Special matrices. Algebraic operations with matrices. Classification of matrices according to their properties. Linear combination of rows and columns of a matrix. Linear (in)dependence of rows and columns of a matrix. Matrix equations. Gauss elimination. Rank of a matrix. Matrix Inverse and its properties.
Determinants : Definition. Sarrus rule. Determinant calculus via triangular factorization. Adjoint matrix. Solution of linear systems using Cramer’s rule. Linear spaces Revisions of vector calculus
Linear spaces:Linear combination, linear (in)dependence, generators, basis and dimension. Linear subspaces
Linear transformations:Linear transformations and their properties. Kernel and image space. Generators,bases and dimension of kernel and image spaces.
Bibliografia Obrigatória
L. Magalhães; Álgebra Linear, como Introdução a Matemática Aplicada, Texto Editora
F. R. Dias Agudo; Introdução à Álgebra Linear e Geometria Analítica,, Livraria Escolar Editora
Bibliografia Complementar
S. Lang; Introduction to Linear Algebra, Springer
G. Strang; Linear Algebra and Its Applications, Academic Press
Métodos de ensino e atividades de aprendizagem
Theoretical classes with lecturing periods with application examples followed by small tasks to be done by the students in order to consolidate the contents previously taught. Practical classes dedicated to problem solving, individually or in small groups.
Continuous assessment through three written tests.
Final assessment through a written exam.
Tipo de avaliação
Distributed evaluation with final exam
Componentes de Avaliação
| Designation |
Peso (%) |
| Teste |
100,00 |
| Total: |
100,00 |
Componentes de Ocupação
| Designation |
Tempo (Horas) |
| Estudo autónomo |
60,00 |
| Frequência das aulas |
75,00 |
| Trabalho escrito |
4,00 |
| Total: |
139,00 |
Obtenção de frequência
Not applicable
Fórmula de cálculo da classificação final
Continuous assessment
- 1/3*test1+1/3*test2+1/3*test3
Final assessment