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Presentation
Presentation
Linear Algebra is a branch of Mathematics that studies objects arising from linear equations and linear functions. It is a central discipline to almost all areas of Mathematics and it is widely used in other areas of Science and Engineering. This curricular unit introduces the theoretical bases necessary to understand the topic under study, as well as the fundamental algorithms to solve certain problems of a more practical nature, such as determining the solution of a system of linear equations, inverting a matrix or calculating eigenvalues and eigenvectors.
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Class from course
Class from course
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Degree | Semesters | ECTS
Degree | Semesters | ECTS
Bachelor | Semestral | 5
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Year | Nature | Language
Year | Nature | Language
1 | Mandatory | Português
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Code
Code
ULHT46-61
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Prerequisites and corequisites
Prerequisites and corequisites
Not applicable
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Professional Internship
Professional Internship
Não
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Syllabus
Syllabus
1. Matrices 2. Systems of linear equations 3. Determinants 4. Linear spaces 5. Linear transformations 6. Eigenvalues and eigenvectors
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Objectives
Objectives
- Learn the main operations with matrices (sum, product, inverse, transpose, determinant) - Apply matrix calculus to solve systems of linear equations (Gauss elimination algorithm) - Understand the concepts of linear space, linear subspace, linear independence, basis and dimension - Understand the concepts of linear transformation, matrix representation, image and kernel - Compute the eigenvalues and eigenvectors of a linear transformation - Apply the acquired knowledge to other curricular units related to Engineering
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Teaching methodologies
Teaching methodologies
Creation and availability of short videos on topics related to the subject taught, as well as historical curiosities, playful problems and applications to the real world.
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References
References
- CABRAL, I., PERDIGÃO, C., & SAIAGO, C. (2024). Álgebra Linear (7ª edição). Escolar Editora.
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Assessment
Assessment
Teste 1 (50%) + Teste 2 (50%) ou Prova Global (100%) ou Exame de Recurso (100%)
A avaliação contínua consiste na realização de dois testes e/ou de uma prova global. A nota de avaliação contínua é calculada como o máximo entre a média aritmética dos dois testes e a nota da prova global.
A classificação de cada teste será considerada até às décimas e o arredondamento às unidades só será feito na média aritmética das três classificações.
Para obter aprovação à unidade curricular, é necessário que a nota de avaliação contínua ou do exame de recurso seja maior ou igual a 9,5 valores. Em cada teste ou no exame de recurso o aluno pode ser chamado para uma prova oral, em qualquer circunstância e sem restrições, para confirmar a nota perante o docente.
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Mobility
Mobility
No
