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Course: 2022/2023

Linear Algebra

(13870)

Bachelor in Computer Science and Engineering (Plan: 489 - Estudio: 218)

Coordinating teacher: TORRENTE ORIHUELA, ESTER AURORA

Department assigned to the subject: Mathematics Department

Type: Basic Core

ECTS Credits: 6.0 ECTS

Course: 1º

Semester: 1º

Branch of knowledge: Engineering and Architecture

Requirements (Subjects that are assumed to be known)

Sixth form level linear algebra.

Skills and learning outcomes

Link to document

¿	Operate with vectors, bases, subspaces, matrices, and linear applications.	
¿	Interpret and apply the results of algebraic reasoning to problem solving.

Description of contents: programme

1. Linear equation systems 2. Vectorial spaces 3. Matrices 4. Scalar product and normal form 5. eigenvectors and eigenvalues 6. Decomposition into singular values 7. Interpretation and applications

Learning activities and methodology

THEORETICAL-PRACTICAL CLASSES (2 ECTS). Concepts and knowledge to be acquired are presented in these sessions. Students are provided with lecture notes and can find basic reference bibliography to facilitate class understanding and posterior personal work. Exercises are solved by students for self-assessment and achievement of necessary skill. During the practical sessions, students are presented with exercises that are discussed and solved. TUTORING SESSIONS. Sessions to clarify theoretical or practical issues encountered by students on an individual or in-group basis. INDIVIDUAL AND GROUP WORK. 2.5 ECTS. Students' personal work. CONTINUOUS ASSESSMENT. 1 ECTS. Knowledge, skills and abilities, gradually acquired, are globally assessed. They serve as self-assessment of progress to adapt learning strategies if necessary. FINAL EXAM. 0.5 ECTS. Knowledge, skills and abilities acquired over the course of the academic semester are globally assessed.

Assessment System

Activities and exams have a two-fold purpose: training and assessment. The evaluation system includes the assessment of these academic activities according to the following weighting:

Continuous assessment activities: 40%
Final exam: 60%

Minimum mark in the final exam: none.
Minimum mark in continuous assessment: none.

% end-of-term-examination 60
% of continuous assessment (assigments, laboratory, practicals...) 40

Calendar of Continuous assessment

Basic Bibliography

D. C. LAY. "Linear algebra and its applications". Addison-Wesley - 4th ed. - 2009.
D. POOLE. "Linear algebra: a modern introduction". Thomson - 3rd ed. - 2010.
G. STRANG. "Linear algebra and its applications". Thomson. 2007

Electronic Resources *

J. Salas, A. Torrente y E.J.S. Villaseñor · Ejercicios de autoevaluación : http://euler.uc3m.es/algebralineal/

Additional Bibliography

B. KOLMAN. "Introductory linear algebra: an applied first course". Prentice Hall. Octava edición - 2006
B. KOLMAN . "Álgebra lineal". Prentice Hall - Octava edición - 2006.
B. NOBLE, J. W. DANIEL. "Álgebra lineal aplicada". Prentice Hall Hispanoamericana - Tercera edición - 1989.
O. BRETSCHER. "Linear algebra with applications". Prentice Hall 4th ed. - 2009..

(*) Access to some electronic resources may be restricted to members of the university community and require validation through Campus Global. If you try to connect from outside of the University you will need to set up a VPN

The course syllabus may change due academic events or other reasons.