Autenticação

Utilizador:

Senha:

Iniciar sessão

Esqueceu-se da senha?

Mathematical Methods I

Code:

TGI03

Sigla:

MM1

Áreas Científicas
Classificação	Área Científica
OFICIAL	Matemática

Ocorrência: 2021/2022 - 1T

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	80	Plano de Estudos 2016	1	-	4	44	108

Língua de trabalho

Portuguese
Obs.: Português

Objetivos

Provide students with the basic mathematical knowledge referred to in the course program and necessary for their training as graduates in Technology and Industrial Management.

Resultados de aprendizagem e competências

a) Developing mathematical reasoning ;
b) Provide the students problem- solving ability ;
c) Develop the critical and analytical mind;
d) Knowledge of concepts and applications on matrix calculus and determinants ;
e) Knowledge of concepts and applications on vector calculus ;
f ) Knowledge of concepts and applications on real functions of a real variable .

Modo de trabalho

Presencial

Programa

1. Matrices
Elementary notion of Matrix; elementary notion of linear dependence and independence of
rows and columns of a matrix; elementary operations and rank of a matrix; systems of linear
equations and Gauss elimination method; finding the inverse matrix by Gauss elimination
method.
2. Determinants
Elementary notion of determinant; properties and methods of finding determinants;
applications of determinants: finding the inverse matrix and Cramer’s rule.
3. Vectorial Calculus
Definitions of inner, cross and scalar triple products; properties and applications.
4. Real Functions of One Real Variable
Basic notions; exponential, logarithm, trigonometric and inverse trigonometric functions.
Concept of finite and infinite limit; one-sided limits; properties of limits.
Continuity of a function at a point and on intervals; properties; continuity theorems.

Bibliografia Obrigatória

Apostol, T.; Calculus, I e II, Blaisdel, 1969

Bibliografia Complementar

Larson, Ron, Hostetler, Robert P e Edwards, Bruce H., ; Cálculo - Volume I , McGraw Hill, 2006
Luz, C., Matos, A., Nunes, S., ; Álgebra Linear - Volume I, ESTSetúbal, 2002

Métodos de ensino e atividades de aprendizagem

Classroom lectures through a combination of lecture method and problem solving.

E-learning in the Moodle platform, providing access to the contents of UC through several materials, promoting the holding of weekly activities.

Tipo de avaliação

Distributed evaluation with final exam

Componentes de Avaliação

Designation	Peso (%)
Teste	80,00
Trabalho laboratorial	20,00
Total:	100,00

Componentes de Ocupação

Designation	Tempo (Horas)
Estudo autónomo	24,00
Frequência das aulas	24,00
Total:	48,00

Obtenção de frequência

Students have two assessment systems: continuous assessment and exam assessment.

Fórmula de cálculo da classificação final

The Continuous Assessment presupposes the completion of 2 tests and optional Mini-tests.

Designating by T1 and T2 the classifications (from zero to 20 values, rounded to the hundredths) obtained in the 1st test and in the 2nd MT test the score of the mini-tests, the final CF classification (rounded to the units) will be calculated as follows:

CF = max((T1+T2)/2*0.8+0.2*MT; (T1+T2)/2)

The approval conditions are as follows:

If CF is greater than or equal to 10 and less than 18, the student is approved with a final grade equal to CF, provided that the classification in any of the tests has been greater than or equal to 6.00 values.

If CF is greater than or equal to 18, the student must submit to an oral test, obtaining as a final grade the average of the grades of the written test and that oral test. If the student does not attend the oral exam, the final classification will be 17 points.

If CF is less than 10 and one of the tests has a classification equal to or greater than 9.50 values, the student may take a recovery test to retrieve the classifications of the tests performed whose classification has been less than 9.50 values.