TecnoCampus Foundation
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University Business
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General information

Subject type: Basic

Coordinator: Alfonso Palacios González

Trimester: Second term

Credits: 6

Teaching staff: 

Cristina Steegmann Pascual
Joan Fabregas Peinado 

Skills

Basic skills

  • B1_That students have demonstrated knowledge and understanding in a field of study that is based on general secondary education, and is accustomed to finding at a level that, although with the support of advanced textbooks, also include some aspects that involve knowledge from the forefront of your field of study

  • B3_Students have the ability to gather and interpret relevant data (usually within their area of ​​study), to make judgments that include reflection on relevant social, scientific or ethical issues

  • B4_That students can convey information, ideas, problems and solutions to both specialized and non-specialized audiences

Specific skills

  • EFB1_Ability to solve mathematical problems that may arise in engineering. Ability to apply knowledge about: linear algebra, differential and integral calculus, numerical methods, numerical algorithms, statistics and optimization

Transversal competences

  • T1_That students know a third language, which will be preferably English, with an adequate level of oral and written form, according to the needs of the graduates in each degree

Description

The subject enables the student to understand and / or solve mathematical problems, which may arise in engineering, related to linear algebra.

 

 

Learning outcomes

The learning outcomes specify the specific measure of the competencies worked on.

This subject contributes to the following learning outcomes specified for the subject to which it belongs:

  • LO1: Become familiar with mathematical language and logic and know their applications in the field of computer science. Know how to accurately express mathematical concepts. Be able to understand a demonstration and perform demonstrations using various methods (particularly the last two points).
  • LO2: Understand the operations and properties of sets and applications.
  • LO3: Know and understand the basic properties of real numbers and functions (mainly operational properties and elementary functions).
  • LO4: Understand and be able to apply the methods of solving linear algebra problems involving vectors and matrices. Understand the concept of linear independence and the importance of bases in a vector space. Familiarize yourself with linear applications and their study using matrices.
  • LO5: Understand the importance and applications of the use of reference systems in plan and space. Know the main related transformations of the plan and space.
  • LO6: Plan oral communication, answer appropriately to the questions asked and write basic level texts with spelling and grammar correction. Properly structure the content of a technical report. Select relevant materials to prepare a topic and synthesize its content. Answer appropriately when asked questions.

Working methodology

The classes will be master classes (development of the theory and practical examples) and participatory (conceptual questions, guided resolution of exercises and presentation of exercises by the students).

 

Contents

  1. Sets and applications

    1. Sets and their operations

    2. Cartesian product of sets, correspondences and applications

  2. Vectors and matrices

    1. Vectors and systems of linear equations

    2. Operations with matrices

    3. Vector spaces and bases

  3. Linear applications

    1. Linear applications and associated matrices

    2. Basic changes in a linear application

  4. Geometry of the plane and space

    1. Equations of lines and planes

    2. Relative positions of straight lines and planes

    3. Related transformations

Learning activities

Master class: development of theory and practical examples.

Participatory class: collaborative instruction with conceptual questions and resolution of exercises guided by the teacher (collect evidence of learning of almost all the expected results, as a guide for self-evaluation of the student and of his active participation in class).

Resolution and presentation of group exercises: resolution and presentation of exercises by the students (collect evidence of all the expected results, especially RA6).

Assessment tests: four assessment tests, one per subject, and of a liberating nature (they collect evidence of learning of all the expected results).

Evaluation system

75% the activity Assessment tests, recoverable by subject in case of failing the subject (a minimum grade of 4/10 must be obtained in this activity in order to pass the subject).

20% the activity Resolution and presentation of group exercises (non-refundable)

5% active participation in class (recoverable through the activity of assessment exercises)

 

REFERENCES

Basic

Castellet, M .; Llerena, I. (1988): Linear algebra and geometry. Bellaterra: Publications of the Autonomous University of Barcelona

Lay, David C; Murrieta Murrieta, Jesús Elmer (2007). Linear algebra and its applications. 3ª ed. Pearson Education

Holt, Jeffrey (2013). Linear Algebra with Applications. Freeman

Complementary

Queysanne, Michel (1990). Basic Algebra. Vicens-Vives