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Code: | DVAM03 | Sigla: | EM I |

Áreas Científicas | |
---|---|

Classificação | Área Científica |

CNAEF | Mathematics |

Ativa? | Yes |

Página Web: | https://moodle.ips.pt/2122/course/view.php?id=481 |

Unidade Responsável: | Departamento de Matemática |

Curso/CE Responsável: | Professional Technical Higher Education Course in Development of Videogames and Multimedia Applications |

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

DVAM | 28 | Plano_estudos_2018_19 | 1 | - | 6 | 60 | 162 |

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

César Rodrigo Fernandez | |

Ana Teresa Agostinho Barros dos Santos |

Theorethical and Practical : | 4,00 |

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

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

Ana Teresa Agostinho Barros dos Santos | 4,00 |

2. Characterization of the inverse of a trigonometric function.

3. Interpretation of the concept of limit value and computation of such limits on functions.

4. Analysis of the continuity of a function and application of Bolzano's and Weierstrass' theorems.

5. Interpretation of the concept of derivative and computation of the derivative of a function on any point, by definition.

6. Analysis of the differentiability of a function on an open interval and application of derivation rules.

7. Application of Rolle's, Lagrange's and Cauchy's Theorems.

8. Application of Taylor's formula of a function on a point.

1.1. Introduction to mathematical language and logical operations.

1.2. Generalities about real functions of a real variable.

1.3. Study of inverse trigonometric functions.

1.4. Notion of limit; lateral limits; properties and operations.

1.5. Continuous functions, properties and extension by continuity.

1.6. Fundamental theorems of continuity.

2. Differential calculus

2.1. Derivative of a function: concept, geometrical perspective and physical perspective; tangent and normal straight lines at a specific point.

2.2. Lateral derivatives; differentiability and its properties; derivative rules; derivatives of composite and inverse functions; inverse trigonometric functions derivatives; differential.

2.3. Fundamental theorems of differentiation.

2.4. Derivatives of higher order; Taylor and Maclaurin formulas (with Lagrange error bound). Study of monotony, extrema and concavity of a function.

Campos Ferreira J.; Introdução à Análise Matemática, Fundação Calouste Gulbenkian. ISBN: 972-31-0179-3

Larson R., Robert P.H., Edwards B.H.; Cálculo Vol.1, McGraw-Hill

George Thomas; Cálculo Vol.1, Pearson. ISBN: 978-85-7605-115-2

These lessons are aimed to endow the students with a global view of the specific subjects and its interconnections, using a correct and objective formulation of mathematical definitions and statements, and developing the rational deductive practice, as well as presenting some practical applications of some of various notions.

The student must embark on autonomous study, based on a reading activity of the available materials and on the autonomous practice with exercises.

The information and teaching material of the Curricular Unit will be available in the corresponding Moodle platform.

Remark: Presential teaching activities are totally executed by the co-responsible teacher.

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

Teste | 100,00 |

Total: |
100,00 |

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

Estudo autónomo | 102,00 |

Total: |
102,00 |

CONTINUOUS EVALUATION

Continuous evaluation assumes a compulsory presence in at least 75% ot presential lessons and consists on the execution of 4 Mini-tests (open answer questions)

Taking as MT1, MT2, MT3, MT4 the Mini-test results (evaluated from 0 to 5 points, rounded to the decimal point), the final score FS (rounded to units) is computed as follows:

FS = MT1 + MT2 + MT3 + MT4.

Conditions to obtain positive evaluation are:

If FS is greater or equal 10 and lower than 18, the student has positive evaluation with FS as final score, provided that MT1+MT2 and MT3+MT4 are both greater or equal to 3.5 points.

In the case that the student doesn't have positive evaluation due to conditions indicated on (1.), he/she may choose to take an alternative exam to improve the lowest of the results MT1+MT2 or MT3+MT4, provided that one of these sums is equal or greater than 3.5 points.

EVALUATION BY EXAM

Students that don't reach a positive result in the continuous evaluation may take an exam, with results in the inteber scale between 0 and 20 points, and where the positive evaluation is for those students that get 10 or more points.

In any of these evaluation systems, if the final score is greater or equal 18, the student will be subject to an additional oral exam. The final score in this case will be the mean of the written and oral evaluations. If the student does not attend the oral exam, its final score will be 17 points.

FS = MT1 + MT2 + MT3 + MT4.

FS - Final score (integer values range 0-20)

MT1 - Mini-test 1 score (values range 0-5 rounded to decimal point)

MT2 - Mini-test 2 score (values range 0-5 rounded to decimal poi3t)

MT3 - Mini-test 3 score (values range 0-5 rounded to decimal point)

MT4 - Mini-test 4 score (values range 0-5 rounded to decimal point)

In all evaluation processes the presentation of an ID with photo is compulsory.

In all written exams student may consult an specific formula sheet provided by the teachers.

The use or merely reaching for any electronic devices during the evaluation proofs is forbidden.

Co-responsible teacher: Prof. Ana Barros, Room E-305 ESTSetúbal

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Página gerada em: 2024-10-12 às 04:26:05

Página gerada em: 2024-10-12 às 04:26:05