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Code: | EEC0007 | Acronym: | AMAT2 |

Keywords | |
---|---|

Classification | Keyword |

OFICIAL | Mathematics |

Active? | Yes |

E-learning page: | http://moodle.fe.up.pt/ |

Responsible unit: | Department of Electrical and Computer Engineering |

Course/CS Responsible: | Master in Electrical and Computers Engineering |

Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|

MIEEC | 395 | Syllabus (Transition) since 2010/2011 | 1 | - | 8 | 99 | 213 |

Syllabus | 1 | - | 8 | 99 | 213 |

Recitations: | 5,50 |

Type | Teacher | Classes | Hour |
---|---|---|---|

Recitations | Totals | 8 | 44,00 |

João Tasso de Figueiredo Borges de Sousa | 5,50 | ||

Maria Margarida de Amorim Ferreira | 5,50 | ||

Maria do Rosário Marques Fernandes Teixeira de Pinho | 5,50 | ||

José Nuno Teixeira de Almeida | 5,50 | ||

Vitor Manuel Martins Cicouro de Pêra | 5,50 | ||

Ricardo Santos Morla | 5,50 | ||

Maria Inês Barbosa de Carvalho | 5,50 |

To develop techniques of differential and integral calculus.

Skills:

This course unit aims to develop students’ skills on the manipulation of concepts of this course unit and to develop their independent and creative reasoning.

Learning Outcomes:

1) To correctly apply mathematical techniques included in the program.

2) To select the appropriate mathematical tools to solve problems.

3) To clearly display techniques involved in problem solving.

4) To analyse and criticise results obtained in problem solving.

CDIO Syllabus: 1.1; 2.4

Educational activities:

1) In theoretical and in theoretical-practical classes students should actively take part of the discussion by answering to questions and questioning the processes in the formulation and problem solving.

2) Individual resolution of exercises during theoretical-practical classes. Students should be capable of identifying the mathematical concepts involved and study the support material related to them and apply them on the resolution of exercises.

3) Resolution of self-evaluation tests.

Domain, graph. Continuity and derivatives. Curve and tangent vector.

2. Systems of linear differential equations: Laplace transform

3. Real functions and vector variable

Domain, graph, level set of real function of vector variable

Topological notions

Limits and continuity; Calculation rules

Rn curves

Partial derivatives; Directional derivatives; Derivative of a function

Relationship between derivability and continuity

Gradient vector; Geometrical interpretation

Normal line and tangent plan at point on the surface in R3

Higher order derivatives

Implicit derivation

Chain rule

Taylor’s formula

4. Functions defined in Rn: maximum and minimum

Critical points; Classification of critical points

Conditioned maximum and minimum; Lagrange multipliers

5. Vector functions of vector variable

Limits and continuity; Differentiability

Derivative of a function at a point; Jacob matrix

Inverse function theorem

6. Multiple integrals

Double and triple integrals

Change of variable in multiple integrals; Polar, cylindrical and spherical coordinates

7. Line, surface and volume integrals

M. do Rosário de Pinho e M. Margarida A. Ferreira; Apontamentos das aulas teóricas de AM2, 2007

Larson, Roland E.; Cálculo com geometria analítica. ISBN: 85-216-1108-0

S.K. Steib and A. Barcellos; Calculus and Analytic Geometry , McGraw Hill

Simmons; Calculus with Analytic Geometry, McGraw Hill.

Paula Rocha; Cálculo II, Universidade de Aveiro

Ana Breda e Joana N. Costa; Cálculo com funções de várias variáveis , McGraw Hill

Theoretical classes:

Presentation of problems; Discussion and deduction of results in the scope of this course unit

Students should prepare the theoretical classes by:

1) studying the recommended bibliography and themes covered in class;

2) trying to solve basic problems about the same themes;

3) taking notes of questions about that theme.

Theoretical-practical classes:

Every week students have to prepare the exercises given by the professors. In theoretical-practical classes the exercises will be discussed and questions regarding the exercises will be answered.

Self-evaluation tests:

During the semester, students will be encouraged to do some self-evaluation tests. The grade of these tests will not be taken into account in the final grade of this course unit. They aim to act as an orientation to the students, so that they know if they master the theoretical and practical concepts.

Office hours:

Every Wednesday from 2.30 pm to 4.pm in room B216, it will take place a session where students can ask questions and clarify their doubts.

Outside this time, professors will schedule an office hour to talk to students.

Description | Type | Time (hours) | Weight (%) | End date |
---|---|---|---|---|

Attendance (estimated) | Participação presencial | 70,00 | ||

Exame | 2,00 | |||

Teste 1, Teste 2 e Teste 3 | Exame | 3,50 | ||

Exercises | Exame | 35,50 | ||

Total: |
- | 0,00 |

Description | Type | Time (hours) | End date |
---|---|---|---|

Individual study | Estudo autónomo | 105 | |

Total: |
105,00 |

Students, who attended this course in 2008/2009, do not need to attend classes this year. However, if students enrol in theoretical-practical classes, they will be assessed as if they were attending this course for the first time.

1) First test (T1) – 21st April

2) Second test (T2)- 9th June

3) Exam (E)

3) Recurso (resit) exam (R)

Final Grade will be based on the tests (T1 + T2, each of them will be classified from 0 to 10) OR on the final exam (E or R).

Students, who complete the course unit by attending the two tests, do not need to attend the final exam. They can improve their grades by attending the recurso (resit) exam.

Students, who completed Mathematical Analysis 2 in the previous syllabus, can opt to be assessed partially, by only attending the last three chapters of the program. They do not need to attend theoretical-practical classes. However, it is advisable that they attend to the classes, in which those themes will be covered. They will have to attend either the final exam and/or recurso (resit) exam.

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Page generated on: 2019-02-16 at 11:59:00

Page generated on: 2019-02-16 at 11:59:00