Academic Year/course:
2023/24
558 - Bachelor's Degree in Industrial Design and Product Development Engineering
25870 - Mathematics II
Syllabus Information
Academic year:
2023/24
Subject:
25870 - Mathematics II
Faculty / School:
110 - Escuela de Ingeniería y Arquitectura
Degree:
558 - Bachelor's Degree in Industrial Design and Product Development Engineering
ECTS:
6.0
Year:
1
Semester:
107-Second semester
558-First semester o Second semester
Subject type:
Basic Education
Module:
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1. General information
The students are expected to acquire a solid base in Algebra and Geometry, skills in solving problems in a rigorous way, selecting the most efficient techniques and strategies, and being able to use mathematical software for their resolution (both symbolic and numerical).
It is necessary to have solid mathematical knowledge in the Science Baccalaureate, in particular: matrix calculus and determinants (operations and properties), analysis of the existence of solution of linear systems, Gaussian elimination
These approaches and objectives are aligned with the SDGs of the United Nations 2030 Agenda () (https://www.un.org/sustainabledevelopment/es/), to the extent that they are essential to the rest of the degree program and that directly enable students to contribute to the achievement of the 2030 Agenda Goals.
2. Learning results
- Apply the acquired knowledge in Linear Algebra, Geometry, Differential Geometry and Numerical Methods related to Linear Algebra.
- Solve mathematical problems that may arise in Engineering.Use numerical methods in the solution of some mathematical problems.
- Use symbolic and numerical calculation tools in a reflexive way.
- Possess scientific-mathematical thinking skills that allow them to ask and answer certain mathematical questions.
- Manage and use with skill the mathematical language; in particular, the symbolic and formal language.
3. Syllabus
- Matrix algebra.
- Systems of linear equations.
- Vector spaces.
- Linear applications.
- Diagonalization of matrices.
- Spaces with scalar product.
- Differential geometry.
4. Academic activities
Theoretical-practical classes (40 hours): exposition and explanation of theoretical contents, accompanied by illustrative examples and problem solving.
Problem sessions (8 hours): resolution of questions and problems, analysing different possible options
Practical computer classes (12 hours): analysis and programming of mathematical algorithms using symbolic and numerical programming software installed in the EINA computer laboratories
Directed academic work (25 hours): activities that promote continuous study.
Development of a team work proposed jointly with some or all of the subjects of the second semester
Personal study (60 hours)
Assessment tests (5 hours)
5. Assessment system
A global evaluation system is proposed. However, for the gradual passing of the subject the students will be able to undergo continuous evaluation. In both cases, each test has a specific weight , it is graded out of 10 points and it is necessary to obtain a grade of no less than 4 points (in each block) in order to average. The final grade is calculated by applying the corresponding percentages and requirements of minimum grades in each part.
Evaluation criteria: correct use of efficient strategies and procedures, clear and detailed explanations, absence of mathematical errors, correct use of terminology and notation, orderly, clear and organized exposition (both oral and written) and knowledge of the software used.
Continuous assessment
1. Theory and problems block (70%):
1.1 Written midterm test (21%, minimum grade 5 points)
1.2 Written test in the first call (49%, only if the midterm grade is not lower than 5 points): it will deal with a part of the syllabus.
2. Practical block (15%): tests and final exam on practical contents.
3. Directed work block (15%): completion and presentation (written and oral) of a paper done in groups.
Global evaluation (1st and 2nd call). Written tests on the contents worked on in each block:
1. Theory and problems block (70%)
2. Practical block (15%)
3. Directed work block (15%)