Course: 2022/2023

Linear Algebra

(18253)

Requirements (Subjects that are assumed to be known)

It is not expected to have completed any subject since this is a first term/first year subject.

Skills and learning outcomes

Description of contents: programme

1. Complex numbers
2. Systems of linear equations
3. Matrix algebra
4. Determinants
5. Vector spaces in applied settings
6. Linear transformations
7. Inner product spaces: norms and orthogonality
8. Orthogonal and unitary matrices
9. QR factorization

Learning activities and methodology

LEARNING ACTIVITIES AND METHODOLOGY
THEORETICAL-PRACTICAL CLASSES. [44 hours with 100% classroom instruction, 1.76 ECTS]
Knowledge and concepts students must acquire. Students receive course notes and
will have basic reference texts to facilitate following the classes and carrying
out follow up work. Students partake in exercises to resolve practical problems
and participate in workshops and evaluation tests, all geared towards
acquiring the necessary capabilities.
TUTORING SESSIONS. [4 hours of tutoring with 100% on-site attendance, 0.16 ECTS]
Individualized attendance (individual tutoring) or in-group (group tutoring) for students with a teacher.
STUDENT INDIVIDUAL WORK OR GROUP WORK [98 hours with 0 % on-site, 3.92 ECTS]
FINAL EXAM. [4 hours with 100% on site, 0.16 ECTS]
Global assessment of knowledge, skills and capacities acquired throughout the course.
METHODOLOGIES
THEORY CLASS. Classroom presentations by the teacher with IT and audiovisual
support in which the subject`s main concepts are developed, while providing
material and bibliography to complement student learning.
PRACTICAL CLASS. Resolution of practical cases and problems, posed by the
teacher, and carried out individually or in a group.
TUTORING SESSIONS. Individualized attendance (individual tutoring sessions) or
in-group (group tutoring sessions) for students with a teacher as tutor.

Assessment System

- % end-of-term-examination 50
- % of continuous assessment (assigments, laboratory, practicals...) 50

Basic Bibliography

- B. Noble, J.W. Daniel. Applied Linear Algebra. Prentice-Hall. 1988
- C.D. Meyer. Matrix Analysis and Applied Linear Algebra. SIAM. 2000
- D.C. Lay, S.R. Lay and J.J. McDonald. Linear Algebra and its Applications, 5th edition. Pearson. 2016
- G. Strang. Introduction to Linear Algebra. Wellesley-Cambridge Press. 2016
- S.R. García and R.A. Horn. A Second Course in Linear Algebra. Cambridge University Press. 2017

- David Lay, Steven Lay, and Judi McDonald · Linear Algebra and Its Applications, EBook, Global Edition : https://ebookcentral.proquest.com/lib/bibliouc3m-ebooks/detail.action?pq-origsite=primo&docID=5174425

Additional Bibliography

- P. Lancaster and M. Tismenetsky. The Theory of Matrices with Applications, 2nd edition. Academic Press, Inc.. 1985
- R.A. Horn and C.R. Johnson. Matrix Analysis, 2nd edition. Cambridge University Press. 2013

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