Code: | EEC0004 | Acronym: | ALGE |
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 | 245 | Syllabus | 1 | - | 6 | 63 | 162 |
This course aims to provide concepts of Linear Algebra, which are of crucial importance to the training of the Electrical Engineering undergraduates. The fundamental concepts include matrix analysis, vector spaces and linear transformations. This course aims to develop students' algebraic manipulation skills, analytical and independent reasoning and the ability to apply mathematical concepts to the resolution of practical problems.
At the end of this course students are expected to master the following concepts and techniques:
- Concept of matrix;
- Matrix manipulation techniques;
- Application of matrices to the representation, classification and solution of linear equation systems;
- Determinants (concept, computation techniques, and applications) ;
- Concept of vector space;
- Relation between vector spaces, matrices and systems of linear equations;
- Concept, calculation and application of vector projections (e.g., orthogonal bases obtaining);
- Concept and matrix representation of linear transformations;
- Concept and calculation of eigenvalues and eigenvectors.
1. Systems of Linear Equations and Matrixes;
2. Determiners;
3. Vector Spaces;
4. Projections and Orthogonality;
5. Linear Transformations;
6. Eigenvalues and Eigenvectors.
In the lectures important concepts and associated results will be presented, giving special emphasis to their practical applications. In order to clarify the definitions and theorems presented, proofs will be given each and every time that these might help to achieve that understanding and the students will be given illustrative examples.
The exercise classes aim to better orientate the study of this course by presenting exercises that apply the taught information and helping the students solve these exercises and to clarify their doubts.
The lecturers of this course will also set office hours to receive the students.
Designation | Weight (%) |
---|---|
Teste | 100,00 |
Total: | 100,00 |
Designation | Time (hours) |
---|---|
Estudo autónomo | 94,00 |
Frequência das aulas | 68,00 |
Total: | 162,00 |
Students are admitted to exams if:
- they are enrolled in the course;
- they do not exceed the limit of absences (25% of the exercise classes).
Students who have attended to the course in previous years and students with a special status will also be admitted to exams.
To get a final classification, in the UC, a student must satisfy the attendance requirement ("frequency") or be excused from obtaining it (see above, under "Obtaining frequency"). Under these conditions, students can be approved by writing three tests and/or a final exam. If a student is not approved by tests, he/she still can still resit in the exam.
This means that there are four different evaluation elements namely:
1) First Test (T1) to be held on the day, time and room to be determined;
2) Second Test (T2) to be held on the day, time and room to be determined;
3) Third Test (T3) to be held on the day, time and room to be determined;
4) Resit Exam (E) to be marked by the services.
Test T1 will count for 5 values and tests T2 and T3 for 7,5 values each. The following minimum scores must be achieved 3,50 (out of 5+7,5=12,5) in tests T1 and T2 (taken together); T3 - 2,50 (out of 7,5). In order to be approved in the normal evaluation period, students must attain the minimum scores in the tests, together with the final classification of 10 (9,50) out of 20.
The FINAL CLASSIFICATION in the UC will be (on a scale of 0 to 20) corresponds to:
- The sum of the marks obtained in T1, T2 and T3 (maximum total score of 5+7,5+7,5=20), or
- The classification in the resit exam (E), (maximum score 20).
Important Notes:
a) the marks obtained in the tests do not remain valid for subsequent years;
b) If a student fails to attend one of the tests, the score of this test, to be considered in the calculation of final classification, is zero.
Students who are under special statutes (TE, DA, ...) during the current academic year, are exempt from frequency. The UC approval may be obtained by doing the tests (T1, T2 and T3) or the resit exam (E). The calculation of the grade is identical to that described above.
Classification improvement will be done with a written exam (resit period). The result corresponds to 100% of the final classification.
Language of instruction: Portuguese.