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Code: | PA20 | Sigla: | FC |

Áreas Científicas | |
---|---|

Classificação | Área Científica |

OFICIAL | Matemática |

Ativa? | Yes |

Página Web: | https://moodle.ips.pt/2324/course/view.php?id=2269 |

Unidade Responsável: | Departamento de Matemática |

Curso/CE Responsável: | Professional Technical Higher Education Courses in Aeronautics Production |

Sigla | Nº de Estudantes | Plano de Estudos | Anos Curriculares | Créditos UCN | Créditos ECTS | Horas de Contacto | Horas Totais |
---|---|---|---|---|---|---|---|

TSPPA | 37 | Plano de Estudos 2015_16 | 1 | - | 6 | 60 | 162 |

Docente | Responsabilidade |
---|---|

Cristina Maria Ferreira de Almeida |

Theorethical and Practical : | 4,00 |

Type | Docente | Turmas | Horas |
---|---|---|---|

Theorethical and Practical | Totais | 1 | 4,00 |

Cristina Maria Ferreira de Almeida | 4,00 |

A ficha foi alterada no dia 2023-10-24.

Campos alterados: Métodos de ensino e atividades de aprendizagem

Campos alterados: Métodos de ensino e atividades de aprendizagem

- Understand logical operations, their properties, quantifiers and interpret them in mathematical propositions.
- Understand different ordered sets of numbers, the arithmetic operations and their properties.
- Solve equations, inequalities and systems of linear equations.
- Identify a real function and understand the elementary mathematical functions.
- Analyse the properties of a real function and perform operations with elementary mathematical functions.
- Calculate the derivative of a real function.
- Apply derivatives to solve geometric, physical or real world problems.
- Interpret and describe the characteristics of calculus objects.

1.2 Conditions and sets; universal quantifier and existential quantifier.

1.3 Operations and relations in set theory.

1.4 Applications between sets. Injective, surjective and bijective applications.

2. Real numbers and operations

2.2 Arithmetic operations and order relationships in real numbers.

2.3 Roots and their properties.

2.4 Powers of rational exponent and their properties.

3. Equations and inequalities

3.2 Linear and quadratic equations and inequalities.

3.3 Systems of equations.

4. Real functions

4.2 Composition of functions and inverse function.

4.3 Monotony, extremes, concavity, parity and periodicity.

4.4 Trigonometric circle and trigonometric functions.

4.5 Piecewise functions and absolute value function.

4.6 Exponential and logarithmic functions. Power and logarithms with arbitrary base.

5. Derivative of a real function

5.2 Derivative of a function. Derivation rules and calculation of derivatives.

5.3 Tangent and normal straight lines of a real function.

Sullivan, M.; Precalculus - 11th edition, Pearson, 2020. ISBN: 978-0135189405

Larson, R., Hostetler, R. P., Edwards, B. H.; Cálculo – Vol. I – 8ª edição, McGraw Hill, 2006

Rosen, Kenneth H.; Matemática Discreta e Suas Aplicações, McGraw Hill, 2010. ISBN: 978-85-7726-036-2

CU Fundamentos de Cálculo has a teaching load of 4 hours per week.

In the classes, the fundamental concepts of the different topics of the course program will be presented and the main results will be demonstrated. Students will carry out, under the guidance of the teacher, a set of exercises, with a view to a deeper understanding of the topics covered and a greater consolidation of knowledge. In class, students should acquire a global view of the themes and their interconnections, accompanied by a correct and objective formulation of mathematical definitions, the precise statement of propositions and the practice of deductive reasoning.

It will be up to the student, a posteriori, to carry out an autonomous study on the topics covered and deepen their knowledge, using the study material recommended in the CU bibliography and the support of the professor during the respective office hours.

The CU will have all the information centralized on the Moodle platform.

Designation | Peso (%) |
---|---|

Teste | 100,00 |

Total: |
100,00 |

Designation | Tempo (Horas) |
---|---|

Estudo autónomo | 102,00 |

Frequência das aulas | 60,00 |

Total: |
162,00 |

The Continuous Evaluation presupposes the accomplishment of 3 summative tests and, for freshmen students, a compulsory attendance of at least 75% of the classes.

Let T1 and T2 be the grades (from zero to 8 values, rounded to tenths) obtained in the first two summative tests and MT the grade (from zero to 4 values, rounded to tenths) obtained in the last summative test. The final classification CF (rounded to units) will be the plain sum of the three grades.

The approval conditions are as follows:

- If CF is greater than or equal to 10 and less than 18, the student passes on with a final grade equal to CF, provided that both T1 and T2 are greater than or equal to 2.5 values.
- If a student fails the approval conditions referred in point 1, the student can recover the lowest grade obtained in T1 and T2 by performing a recovery test on the date of the normal period exam, provided that T1 or T2 is greater than or equal to 2.5 values.

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.

NOTE: In any of the evaluation processes, whenever 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.

or

Exam evaluation

- Each one of the first two summative tests shall be of 90 minutes, the last summative test shall be of 45 minutes, the recovery test of 90 minutes and each exam of 150 minutes.
- To perform the recovery test and/or exams, an identification document with photo has to be presented.
- During assessment tests and examinatiom, only the enquiry form given by the teacher is allowed; handling or displaying any electronic equipment is prohibited.

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Página gerada em: 2024-08-12 às 04:11:05

Página gerada em: 2024-08-12 às 04:11:05