Degree in Health Engineering La Salle Campus Barcelona

Bachelor in Health Engineering

Lead the biomedical engineering that will define the medicine of the future

Linear algebra

Description
In this subject the classic topics regarding linear algebra will be taught. These are: Matrices, systems of linear equations, vector spaces, linear applications, endomorphisms and vector spaces with a defined scalar product. The intention of the course is a twofold, on the one hand that the students get to know the main theoretical concepts of linear algebra and on the other to associate this theory with real problems. During the course, different applications of the concepts studied are proposed and it is shown how these concepts correctly applied can solve determined situations.
Type Subject
Primer - Obligatoria
Semester
First
Course
1
Credits
6.00

Titular Professors

Previous Knowledge

Basic calculus of matrices

Objectives

Ability to discuss and solve linear systems, operate in a vector space, and work practically with the concepts of
superposition, linear dependence and independence, and 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 weekly in sessions. These sessions will combine formal lectures with exercise/problem lectures and practical sessions focused on self-learning and doubt solving:
1. During teaching sessions, examples will be developed for the acquirement of the explained knowledge
2. The students will solve, individually or by groups, an exercise proposed in class, where the acquirement of knowledge will be determined. These exercises can be solved through the explanations in class or through teaching material given via eStudy.
Applied methodologies: Flipped classroom (MD7), Peer instruction (MD09) and sessions for problems and exercises solving (MD1).
3. During the session, the lecturer will solve general questions that the group has and will explain how to solve the proposed exercise.
Applied methodologies: Formal lecture (MD0)
4. The lecturer assigns individual exercises for students to complete to confirm their understanding of the concepts covered in the session. These exercises must be submitted at the end of the teaching unit (via the corresponding folder in eStudy) and will count toward the continuous assessment grade.
Applied methodologies: Peer instruction (MD9) and lecture of problems and exercises.

Evaluation

The evaluation of the student will be made through different elements.
- It is taken into account the attendance and participation of the student in class.
- The student will need to submit a set of exercises complete out of the lectures hours.
- There are evaluation activities made in class.
- Es faran examens del temari de l'assignatura.

Evaluation Criteria

The subject grade in ordinary call (Final Grade) will be calculated by weighing two components: the exams grade (G_Ex) and the continuous assessment grade (G_CA), being N_Ex equal or higher than 4.
The exam grade (G_Ex) depends on both parts of the exam, with a minimum grade of 4 for each of them.
The continuous evaluation grade (G_CA) depend on the attendance and participation, homeworks, tests in class and practice.
In the extraordinary call on July there will be an exam of all topics.

Basic Bibliography

Linear algebra notes and exercises (available in eStudy)

Additional Material

- ?Linear Algebra and its Applications?; David C. Lay, Steven R. Lay, Judi J. Mcdonald; Fifth Edition Pearson 2016
- ?Elementary Linear Algebra?; Howard Anton, Chris Rorres; 11th Edition; Wiley 2014