Code: | L.EEC006 | Acronym: | AM2 |
Keywords | |
---|---|
Classification | Keyword |
OFICIAL | Mathematics |
Active? | Yes |
Responsible unit: | Department of Electrical and Computer Engineering |
Course/CS Responsible: | Bachelor in Electrical and Computer Engineering |
Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|
L.EEC | 335 | Syllabus | 1 | - | 6 | 52 | 162 |
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 functions with 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. Partial derivatives, directional derivatives and derivative of a function. Relationship between derivability and continuity. Gradient vector; geometrical interpretation. Normal line and tangent plan at a point on a surface in R3. Higher order derivatives. Implicit derivation. Chain rule and Taylor’s formula.
3. Maximum and minimum of a function defined in Rn. 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. Jacobian matrix. Inverse function theorem
5. Multiple integrals. Double and triple integrals Change of variable in multiple integrals; Polar, cylindrical and spherical coordinates.
Os estudantes poderão em alternativa escolher qualquer das muitas obras que cobrem os contéudos. As aulas em si seguirão os tópicos apresentados nos slides da uc.
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 (%) |
---|---|
Teste | 100,00 |
Total: | 100,00 |
Designation | Time (hours) |
---|---|
Estudo autónomo | 110,00 |
Frequência das aulas | 52,00 |
Total: | 162,00 |
To be admitted to exams, students cannot miss more classes than allowed by the rules (25% of theoretical-practical classes). During the semester some quizzes will be proposed and the classification of these will contribute to the final classification.
Dismissed from "frequency":
Students with an official particular status (TE, ...)
Students who attended this course in previous years that are not registerd in a TP class.
Assessment components:
1) First test (T1)
2) Second test (T2) = Exam - to be decided by the services
3) Moodle quizzes
4 Recurso (resit) exam (R)
Final Grade will be based on the test plus
exam (T1 + T2+Moodle quizzes):
Alternatively the students can
choose to do merely the R exam.
Students, who get approval (a weighted grade
of the test plus final exam plus Moodle quizzes) are dismised
from the R exam. However they may improve
their grades in the R exam (in this case
they need to do an administrative enrollment
before the exam).
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.