2023-2024 / MATH2009-1

Mathematics: Linear Algebra

Duration

35h Th, 20h Pr

Number of credits

 Bachelor in business engineering4 crédits 

Lecturer

Célia Paquay

Language(s) of instruction

French language

Organisation and examination

Teaching in the second semester

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

The course contains the following topics:

- Complex numbers;
- Vector and matrix algebra;
- Systems of linear equations;
- Vector spaces, linear mappings;
- Eigenvalues, eigenvectors, diagonalization of matrices;
- Quadratic forms (without and with constraints);

-Linear programming;
- Applications.

Learning outcomes of the learning unit

Strategy : The course will allow students to analyse the financial and economic context of a complex situation. The course will allow students to understand the scientific and technological context of a complex situation. The course will allow students to demonstrate scientific precision and a critical mind in the analysis of a complex situation. Implementation : The course will train the student to capitalize on the characteristics of a more and more digitalized world when confronted with a complex situation. Quality and Performance Control : The course will teach the students to use the appropriate analytical tools when analysing a complex management situation. Adaptability : The course will encourage students to be curious and to show a scientific precision of academic level in their studies as well as in their professional life.

Prerequisite knowledge and skills

Principles of mathematical reasoning; elementary algebra; real numbers.

Planned learning activities and teaching methods

The sessions are mainly based on the presentation of the theoretical frame by the teacher and the practice of exercices and applications by the students. The teacher expects the students to actively participate during the sessions, for instance via Wooclap or other surveys.

Mode of delivery (face to face, distance learning, hybrid learning)

Face-to-face course


Additional information:

Ex-cathedra sessions where the presentation of theoretical concepts and the resolution of exercises by the students will be mixed. 

Organization of weekly Q&A sessions with teaching assistants to enable students to ask questions on a regular basis.

Recommended or required readings

Lecture notes and slides available on LoL@. Exercices booklet available on LoL@.
 

Exam(s) in session

Any session

- In-person

written exam ( open-ended questions )


Additional information:

Individual written exam with open questions and close book.

A non-graphic calculator is permitted.

Work placement(s)

Organisational remarks and main changes to the course

The course will not be recorded, but the slides with annotations added during the sessions will be available after each lesson.

Main change: new course instructor. The teaching method will be based on sessions combining theory and practice.

Contacts

Instructor:
Célia Paquay
HEC Liège,
Rue Louvrex 14,
4000 Liège
(Building N1, room 308).
Email: cpaquay@uliege.be

Assistants :
Frédéric Beaumaikers,
HEC Liège,
Rue Louvrex 14,
4000 Liège
(Building N1, room 306);
Email: frederic.beaumaikers@uliege.be;

Fanny Embrechts,
HEC Liège,
Rue Louvrex 14,
4000 Liège
(Building N1, room 306).
Email: Fanny.Embrechts@uliege.be

Association of one or more MOOCs