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Code: | LTE21118 | Sigla: | AM |

Áreas Científicas | |
---|---|

Classificação | Área Científica |

OFICIAL | Matemática |

Ativa? | Yes |

Página Web: | https://moodle.ips.pt/2324/course/view.php?id=1836 |

Unidade Responsável: | Departamento de Matemática |

Curso/CE Responsável: |

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

LTE | 25 | Plano de Estudos | 2 | - | 6 | 60 | 162 |

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

Anabela das Neves Pereira |

Theorethical and Practical : | 4,00 |

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

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

Anabela das Neves Pereira | 4,00 |

This course aims to present a first reference to the modeling of real optimization problems, as well as to provide ample information about some of the techniques used to solve those problems. There will be an approach to the various themes according to the degree area, with a view to developing the ability to apply modeling and optimization techniques to real situations.

- Understanding the origins, evolution, methodology and application areas of Operational Research.
- Modeling real problems in Mathematical Programming.
- Solving a Linear Programming (LP) problem by Simplex algorithms and geometrically.
- Formulating the dual problem of a LP problem and know the concepts associated with duality.
- Understanding the basics of modeling Integer Linear Programming (ILP) problems.
- Knowing methods of solving ILP problems – Cutting and Branch and Bound techniques.
- Solving the Transportation and Allocation problems through appropriate algorithms.
- Understanding the fundamental concepts of graphs.
- Solving the next problems through appropriate algorithms: Minimum Spanning Tree, Graph Coloring, Shortest-Path and Maximum Flow.
- Solving project management problems through appropriate techniques.
- Using specific software for solving Mathematical Programming problems and analyze the obtained solutions.

1.1. Components of an Operational Research (OR) study.

1.2. Mathematical modeling.

1.3. Brief reference to different OR models through illustrative examples.

2.1. Introduction to Linear Programming (LP).

2.2. Methods of solving LP problems.

2.3. Duality.

2.4. Integer Linear Programming: solving methods.

2.5. Transportation and Allocation problems.

3.1. Graphs: terminology, notation and basic concepts.

3.2. Minimum Spanning Tree problem, Graph Coloring problem, Shortest-Path problem and Maximum Flow problem.

3.3. Project management through PERT/CPM techniques.

Hillier, F.S.; Lieberman, G.J., ; Introduction to Operations Research, McGraw-Hill, 2015

Oliveira, R.; Ferreira, J.; Investigação Operacional em ação: casos de aplicação, Imprensa da Universidade de Coimbra, 2014

Ramalhete, M.; Guerreiro, J.; Magalhães, A.; Programação Linear, vols 1 e 2, McGraw-Hill, 1985

Tavares, L.V.; Oliveira, R.C.; Themido, I.H.; Correia, F.N.; Investigação Operacional, McGraw-Hill, 1996

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

Teste | 100,00 |

Total: |
100,00 |

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

Estudo autónomo | 102,00 |

Frequência das aulas | 60,00 |

Total: |
162,00 |

The achievement of Mathematics I can be obtained through two processes of assessment in person: Continuous Assessment and Assessment by Exam.

Continuous assessment is based on two tests (with grades rounded to the nearest tenth). The conditions for passing the continuous assessment are as follows:

- if the average (rounded to the units) of the test classifications is greater than or equal to 10 and less than 18, the student is approved with a final grade equal to that average, provided that in any of the tests the grade has been greater than or equal to 7.5 points;
- if the average (rounded to the units) of the test classifications is greater than or equal to 18, the student will have to take an oral exam, the final grade being the average of these two grades. If you do not attend the oral exam, the final classification will be 17 points.

The realization of the recovery of one of the tests is conditioned to the confirmation of its viability, given the spacing between the date of the 2nd test and the date of the exam of normal season.

The conditions for its realization will be as follows:

The conditions for its realization will be as follows:

- a student who has a grade greater than or equal to 7.5 in both tests, but an average lower than 10 values, has the option to perform the recovery of one of the tests, on the same day and time as the first season exam;
- a student who has a grade lower than 7.5 in one of the tests, has not been able to take it or has given up, will only be able to perform the recovery of that test, on the same day and time of the first season exam if the other test has a grade greater than or equal to 7.5;
- successful students cannot take a test recovery with a view to improving their grade.

The assessment based on the completion of an exam will follow the usual rules, that is, students who choose not to perform continuous assessment, or who, having opted for it, have not been approved, may attend the regular exam periods.

The approval conditions are as follows:

- if the exam grade (rounded to the units) 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 units);
- if the exam grade (rounded to the units) 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 marks of the referred oral exam and the exam. If you do not attend the oral exam, the final classification will be 17 points.

- During the assessment tests/exams, the presentation of an oficial identification document with a photograph will be mandatory.
- Students must take the tests/exams in their own IPS notebooks, for which they must first acquire a notebook from reprography (with 1 cover and 4 continuation sheets).
- The handling or display of mobile phones, or any other means of remote communication, during the test is not allowed, which is sufficient reason for the cancellation of the assessment test, regardless of whether they were used.
- The use of calculators is allowed.
- A form is allowed for consultation during the tests and will be made available in Moodle in advance.
- Leaving the room can only take place one hour after the start of the test/exam and will imply the final delivery of the test/exam.
- Exams or questions written in pencil are not accepted.
- It is not allowed to use a corrector pen in test/exam.

____________________

- Office hours will be published in Moodle.
- The CU will have all the information and specific materials in the Moodle platform.
- Communication with students is made exclusively to the institutional address (@estudantes.ips.pt). It is up to the student to consult their area in the information system, on the course page in Moodle, as well as to manage and periodically consult their email account in the IPS domain, using it to communicate with the IPS services.

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Página gerada em: 2024-10-12 às 16:01:30

Página gerada em: 2024-10-12 às 16:01:30