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Fundamentals of Mathematics

Code:

PWDAM2

Sigla:

FM

Áreas Científicas
Classificação	Área Científica
CNAEF	Mathematics

Ocorrência: 2022/2023 - 1T

Ativa?	Yes
Página Web:	https://moodle.ips.pt/2223/course/view.php?id=1474
Unidade Responsável:	Departamento de Matemática
Curso/CE Responsável:	Professional Technical Higher Education Courses in Applications, Mobil Devices and Web Programming

Ciclos de Estudo/Cursos

Sigla	Nº de Estudantes	Plano de Estudos	Anos Curriculares	Créditos UCN	Créditos ECTS	Horas de Contacto	Horas Totais
TSPCDA	17	Plano de Estudos_2017_18	1	-	3	30	81

Língua de trabalho

Portuguese

Objetivos

The general objective of this course unit is to introduce the basic concepts of matrix calculation and functions of a real variable, developing the ability to work as a team and the students' autonomy in solving problems in the context of the syllabus of this curricular unit.

Resultados de aprendizagem e competências

By the end of term time, students should be able to:

1. Identify the different types of matrices and perform elementary operations.


2. Infer the possibility and perform algebraic operations between matrices.


3. Solve systems of linear equations by applying the Gauss elimination method.


4. Identify a function of a real variable and recognize the elementary mathematical functions.


5. Analyse the properties of a function of a real variable.


6. Perform operations with elementary mathematical functions.

Modo de trabalho

Presencial

Programa

1. MATRICES
1.1. Basic notions.
1.2. Algebraic and elementary operations.
1.3. Systems of linear equations.

2. GENERALITIES ABOUT FUNCTIONS OF A REAL VARIABLE
2.1. Definition of function of a real variable.
2.2. Elementary functions.
2.3. Functions' properties and operations.

Bibliografia Obrigatória

Luz, C., Matos, A. e Nunes, S.; Álgebra Linear (Volume I), ESTSetúbal/IPS, 2002
Thomas, G.; Cálculo, Vol. 1 - 11ª Edição, Pearson, 2009

Métodos de ensino e atividades de aprendizagem

The teaching methodology used in this curricular unit is based on the application of several active learning techniques aiming at greater student involvement and autonomy in the construction of knowledge about the proposed topics. Students learn to work their resources in the process of reflection on the contents, making the acquisition of skills in the exercise of learning activities. One of the most recurrent pedagogical techniques, among others, will consist in the progressive exploitation of collaborative working group in solving proposed exercises, which promotes the student's autonomy, the application of critical capacity and self-assessment.

Tipo de avaliação

Distributed evaluation without final exam

Componentes de Avaliação

Designation	Peso (%)
Teste	90,00
Participação presencial	10,00
Total:	100,00

Componentes de Ocupação

Designation	Tempo (Horas)
Estudo autónomo	51,00
Frequência das aulas	30,00
Total:	81,00

Obtenção de frequência

The approval in this UC (curricular unit) can be obtained through two assessment processes: Continuous Evaluation or Exam Evaluation.

CONTINUOUS EVALUATION
The Continuous Evaluation presupposes the accomplishment of:

• a regular attendance of at least 75% of the classes;


• formative assessment (AF), which consists of 3 training tests (with multiple-choice questions) and peer review;


• summative assessment, which consists of 2 summative tests, MT1 and MT2 (with open questions), graded from zero to 6 values, rounded to tenths.

The final classification CF (rounded to units) will be the sum of the formative assessment and the grades of the 2 summative tests.

If CF is equal or higher than 10, the student is approved with rank equal to CF, provided that the grade in any of the summative tests is equal or higher than 2.0.


EVALUATION BY EXAM
Students who have not obtained approval for Continuous Assessment may take an exam, being approved as long as they obtain a grade of 10 or higher.
If the final classification is greater than or equal to 18 values, the student must carried out an oral test, obtaining as a final grade the average of the classifications of the written test and of the said oral test. If the student does not attend the oral test, the final classification will be 17 values.

Fórmula de cálculo da classificação final

CF = AF×0,4 + MT1 + MT2
or
Exam evaluation

Avaliação especial (TE, DA, ...)

Working students, high-level athletes, association leaders and students under the Religious Freedom Law must address, until the second academic week of the semester, to the head of the Curricular Unit to present their pertinent specificities, in accordance with the terms of the respective diplomas under penalty of failure to enforce them for lack of objective conditions.

Melhoria de classificação

In this course unit passed students of this academic year may only apply to their improvement classification in the supplementary period exam.

Observações

• Each training test shall be of 30 minutes, with students being encouraged to achieve 70% of the total score.


• Each summative test shall be of 60 minutes, with minimum score of 2.0.


• The exam shall be of 2 hours and 30 minutes.


• Handling or displaying any electronic equipment is prohibited, except school calculators (non-graphing).