Degree in Health Engineering La Salle Campus Barcelona

Degree in Health Engineering

Lead the technological advances that will define the medicine of the future.

Linear algebra

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Description
In this subject, the classic topics of linear algebra are taught: matrices, analysis of systems of linear equations, vector spaces, linear applications, endomorphisms and vector spaces with defined scalar product. However, it is intended that the student not only assimilates the theoretical concepts adequately, but also associates them with real situations and problems in the technical world. That is, the student sees algebra as another tool to solve real problems. In this sense, during the course different applications of the concepts studied within different areas of health engineering are proposed (signal processing, image processing, digital communications...), and how these concepts are analyzed applied solve certain situations.
Type Subject
Primer - Obligatoria
Semester
First
Course
1
Credits
6.00

Titular Professors

Alejandro Gonzalez Alzate
Professor
Previous Knowledge

Cálculo matricial básico.

Objectives

Students acquire the knowledge and develop the skills indicated below:
1. Discuss and solve linear systems.
2. Operate in a vector space.
3. Work at a practical level with the concepts of superposition, linear dependence and independence, linear applications.

Contents

1. Determinants and matrices.
2. Systems of linear equations.
3. Vector spaces.
4. Linear applications.
5. Diagonalization of endomorphisms.
6. Euclidean and unitary vector spaces.

Methodology

The subject is taught by combining different teaching methodologies: from the master class to transmit the fundamental theoretical concepts of the course, the flipped classroom to encourage student initiative in achieving knowledge, or practical group sessions where a challenge related to linear algebra is posed and solved through programming.

Evaluation

See electronic folder of the subject.

Evaluation Criteria

See electronic folder of the subject.

Basic Bibliography

See electronic folder of the subject.

Additional Material

See electronic folder of the subject.