Code: | EEC0007 | Acronym: | AMAT2 |
Keywords | |
---|---|
Classification | Keyword |
OFICIAL | Mathematics |
Active? | Yes |
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 | 311 | Syllabus | 1 | - | 8 | 77 | 216 |
Aims: To develop techniques of differential and integral calculus.
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
Solid background in Real analysis. Attendance of AMAT1.
1. Vector functionswith real variable: domain, graph. Continuity and derivatives. Curve and tangent vector.
2. 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.
3. Functions defined in Rn: maximum and minimum Critical points; Classification of critical points Conditioned maximum and minimum; Lagrange multipliers.
4. Vector functions of vector variable Limits and continuity; Differentiability Derivative of a function at a point; Jacob matrix Inverse function theorem
5. Multiple integrals. Double and triple integrals Change of variable in multiple integrals; Polar, cylindrical and spherical coordinates.
6. Line integrals.
Os estudantes poderão escolher qualquer das muitas obras que cobrem os contéudos. As aulas em si seguirão de perto os apontamentos de MRP e MMF assim como o livro Cálculo II de Paula Rocha.
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.
Designation | Weight (%) |
---|---|
Exame | 50,00 |
Teste | 50,00 |
Total: | 100,00 |
Designation | Time (hours) |
---|---|
Estudo autónomo | 140,00 |
Frequência das aulas | 70,00 |
Total: | 210,00 |
To be admitted to exams, students cannot miss more classes than allowed by the rules (25% of theoretical-practical classes).
Students who attended this course in previous years can attend classes this year in a special class where attendance is optional.
Assessment components: 1) First test (T1) – March 2) Second test (T2)- April 3) Exam (E) - to be decided by the services 4) Recurso (resit) exam (R) Final Grade will be based on the tests plus exam (T1 + T2+E): T1 has a weight of 5/20, T2 has a weight of 5/20 and the final exame has a weight of 10/20. Alternatively the students can choose to do merely the R exam. Students, who get approval (a weighted grade of the two tests plus final exam) are dismiised from the R exam. However they may improve their grades in the R exam.
To be decided in each class.
N/A
Students with a special status (working students or military personnel) do not need to attend classes.
They can choose any method of evaluation.
Students can improve their grades by attending the recurso R (resit) exam. It weights 20/20 of the final grade.
All tests or exams are closed book and students are not allowed to use calculators. It will be given a form.