Academic Year/course:
2023/24
430 - Bachelor's Degree in Electrical Engineering
29605 - Mathematics II
Syllabus Information
Academic year:
2023/24
Subject:
29605 - Mathematics II
Faculty / School:
110 - Escuela de Ingeniería y Arquitectura
Degree:
430 - Bachelor's Degree in Electrical Engineering
ECTS:
6.0
Year:
1
Semester:
107-Second semester
430-First semester o Second semester
Subject type:
Basic Education
Module:
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1. General information
The subject Mathematics II tries to train the student in the use and application of the concepts and techniques of Linear Algebra, as well as in basic aspects of the Laplace Transform applied to circuits.
It is intended that the student acquires sufficient skills in the use of mathematical tools that allow to understand and solve applied linear problems of various kinds. It is also intended that the student develops the ability to reason mathematically and to communicate scientific information through mathematical language.
Regarding the objectives of sustainable development, the knowledge of this subject is basic and fundamental for the subsequent training of the rest of the degree, so its contribution is indirect. We could think of some possible activity for reflection.
2. Learning results
The student, in order to pass this subject, must demonstrate the following results:
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1.
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Recall and understand the fundamental results of Linear Algebra.
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2.
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Apply those results to solve problems in Electrical Engineering contexts.
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3.
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Understand the need to use numerical methods to solve some mathematical problems that are posed to them.
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4.
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Possess scientific-mathematical thinking skills. Recognize the way of thinking and reasoning in mathematics, distinguish a mathematical proof from other reasoning and construct and express simple mathematical arguments.
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5.
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Correctly use mathematical language; in particular, symbolic and formal language, the representation of phenomena and situations, and the communication of mathematical contents.
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6.
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Reflexively use some symbolic and numerical calculation software to solve problems.
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7.
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Know and use the basic skills of effective work teams, such as task planning, decision making, and coordinator relevance.
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8.
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Develop basic attitudes as a member of a work team in terms of participation, responsibility, quality of tasks, involvement and support to colleagues.
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3. Syllabus
1. Matrix algebra: matrices, determinants and systems of linear equations
2. Vector spaces
3. Vector spaces with scalar product. Orthogonal projections and Fourier approximations
4. Values, eigenvectors and diagonalization of matrices
5. An introduction to the Laplace transform
4. Academic activities
- Theoretical-practical classes (42h.) to present mathematical topics, most of them followed by activities to exercise techniques and understand concepts
- Problem classes (4h.) and directed work (0.3h): Some specific exercises will be solved individually or in groups.
- Laboratory practices: Five 2-hour sessions will be held in which mathematical algorithms will be analysed and programmed using symbolic and numerical programming software installed in EINA's computer laboratories.
- Tutorials
- Personal study (87.7h.)
- Evaluation (6h.)
5. Assessment system
In all the tests performed, the correctness of the answers, developments and results will be assessed, as well as the interpretation and verification of the results obtained.
Continuous evaluation tests (15%)
Several minimum content tests will be given to encourage continued work. The grade obtained is only saved for the first official call of the year.
Laboratory Practices (20%)
In this part of the subject, exercises will be solved with the use of the computer. The evaluation will take into account the continuous work of the student by means of several tests. The grade obtained will be saved throughout the entire academic year, unless the student takes the global test, in which case it will be replaced by the grade obtained in that test.
Final Exam (65%)
Composed of theoretical-practical questions and problems, to be done in the first official call of the subject. To pass the subject the student must obtain a minimum grade of 3.5 out of 10.
GLOBAL TEST
The overall test will consist of:
- Final exam of the subject (80%). Composed of theoretical-practical questions and problems. To pass the student must obtain a minimum grade of 3.5 out of 10
- Laboratory practice exam (20%).