Autenticação

Utilizador:

Senha:

Iniciar sessão

Esqueceu-se da senha?

Mathematical Methods II

Code:

TGI42

Sigla:

MMII

Áreas Científicas
Classificação	Área Científica
OFICIAL	Matemática

Ocorrência: 2022/2023 - 3T

Ativa?	Yes
Unidade Responsável:	Departamento de Matemática
Curso/CE Responsável:	Industrial Management and Techinology

Ciclos de Estudo/Cursos

Sigla	Nº de Estudantes	Plano de Estudos	Anos Curriculares	Créditos UCN	Créditos ECTS	Horas de Contacto	Horas Totais
TGI	89	Plano de Estudos 2016	1	-	4	-	108

Língua de trabalho

Portuguese

Objetivos

• Develop mathematical reasoning;
• Provide students with the ability to solve problems;
• Develop a critical and analytical spirit;
• Acquire knowledge about concepts and applications related to matrix calculus and
determinants;
• Acquire knowledge about concepts and applications related to vector calculus.

Resultados de aprendizagem e competências

The aim of this Curricular Unit is to acquire and apply knowledge of Mathematics, so that the student can use basic tools in this area, such as techniques and methodologies for solving systems of equations and vector calculus and that allow the student to develop the ability of analysis and reasoning for certain phenomena, namely in the field of Engineering

Modo de trabalho

B-learning

Programa

1. Matrices
Matrix definition; algebraic operations with matrices; inverse matrix. dependency and
linear independence of rows and columns of a matrix; characteristic of a matrix and
elementary operations. Systems of linear equations and Gauss elimination method;
Calculation of the inverse matrix by the Gauss elimination method.
2. Determinants
Definition of determinant, its properties and calculation methods. Applications of
determinants: calculation of the inverse matrix; Cramer's rule.
3. Vector Calculation
1. Definition of internal, external and mixed products; properties and applications.

Bibliografia Obrigatória

Kreyszig, Erwin, ; Advanced Engineering Mathematics , John Wiley & Sons, 1999
Campos Ferreira, J., ; Introdução à Análise Matemática, Fundação Calouste Gulbenkian, 1987

Métodos de ensino e atividades de aprendizagem

In theoretical and practical classes, the expository method and problem solving are combined.

Remotely on the Moodle platform and on the Microsoft Teams platform, they access the UC contents through various materials and are proposed to carry out weekly activities.

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	86,00
Frequência das aulas	22,00
Total:	108,00

Obtenção de frequência

The use of this curricular unit can be obtained through two assessment processes: Continuous Assessment or Assessment by Exams.

Fórmula de cálculo da classificação final

Continuous evaluation

Designating by MT the average of the classifications of the 2 tests. The conditions for passing the Continuous assessment are as follows:
- If MT (rounded to the nearest unit) is greater than or equal to 10 and less than 18, the student is approved with that final grade, provided that the classification in both tests has been greater than or equal to 8.0;
- If MF (rounded to the nearest integer) is greater than or equal to 18, the student will have to take an oral test, with the final grade being the average of these two grades. If you do not attend the oral test, the final classification will be 17 points.
- If MT is less than 10 and one of the tests has a classification equal to or greater than 8.0, the student can take a recovery test to recover the classifications of the tests performed.


Passed students cannot recover tests with a view to improving their grade.


Evaluation by Exam
The approval conditions are as follows:
- If the exam grade (rounded to the nearest unit) is greater than or equal to 10 and less than 18, the student is approved with a final grade equal to the exam grade (rounded to the nearest unit);
- If the exam grade (rounded down to the nearest unit) is greater than or equal to 18, the student will have to take an oral exam, obtaining as a final grade the average of the classifications of the referred oral exam and the exam. If you do not attend the oral test, the final classification will be 18 points. If the assessments are carried out online, the maximum mark that the student can obtain without submitting to an oral test will be 17 points.