Fundamentals of Mathematics II
| Áreas Científicas |
| Classificação |
Área Científica |
| CNAEF |
Mathematics |
Ocorrência: 2019/2020 - 2S
Ciclos de Estudo/Cursos
| Sigla |
Nº de Estudantes |
Plano de Estudos |
Anos Curriculares |
Créditos UCN |
Créditos ECTS |
Horas de Contacto |
Horas Totais |
| RECE |
1 |
Study Plan |
1 |
- |
4 |
45 |
108 |
Docência - Responsabilidades
Língua de trabalho
Portuguese
Objetivos
Acquire calculation techniques with wide use of new curricular resources, among which stand out a matrix language, a representation of systems
of linear equations and their resolution, calculation of determinants and their applications.
Resultados de aprendizagem e competências
Acquire calculation techniques with wide use of new curricular resources, among which stand out a matrix language, a representation of systems
of linear equations and their resolution, calculation of determinants and their applications.
Modo de trabalho
Presencial
Programa
1. Systems of linear equations: matrix representation of systems, resolution of systems by the Gaussian elimination method;
2. Determinants: definition, calculation (Laplace's theorem, Sarrus's rule, Gaussian elimination), properties and applications to the resolution of systems of linear equations (Cramer's rule) and to the inverse matrix calculation
3. Linear spaces: definition and elementary properties; notion of subspace. (In) linear dependence; notion of base and dimension of a linear subspace
4. Own values and vectors: definition, properties and applications.
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
S. Lang; Introduction to Linear Algebra, Springer
G. Strang; Linear Algebra and Its Applications, Academic Press
Métodos de ensino e atividades de aprendizagem
Distance learning:
a) Weekly indication of the contents to be studied;
b) Provision of some resolved exercises;
c) Exercises proposed for resolution by students individually or in groups; d) online doubts classes (during class time) on the zoom platform
e) Proposed group exercises for correction;
Tipo de avaliação
Distributed evaluation without final exam
Componentes de Avaliação
| Designation |
Peso (%) |
| Teste |
100,00 |
| Total: |
100,00 |
Componentes de Ocupação
| Designation |
Tempo (Horas) |
| Estudo autónomo |
63,00 |
| Frequência das aulas |
45,00 |
| Total: |
108,00 |
Obtenção de frequência
Not applicable
Fórmula de cálculo da classificação final
Continuous evaluation:
• 3 tests: 1st test with a weight of 40%, 2nd and 3rd tests with a weight of 30%; All with a minimum score of 6 values.
• If the final grade obtained is equal to or higher than 16, an oral exam will be required, which will lead to the student's final grade.
Exam:
• Classroom regime: 100% of the exam grade.
• Distance regime: 100% of the exam grade, if the final grade obtained is equal to or higher than 16 values, an oral exam will be required, which will lead to the final classification of the student.
At any moment of assessment (continuous assessment tests and final exam), an oral test may be required of the student (by video conference or in
person, if possible), with specific questions about the evaluated subject, which will lead to the final classification of the exam. student at that time of assessment, on a scale from 0 (zero) to 20 (twenty) values.