Teaching directory
Course 2024-2025

Algebra (Part 2) [INFOB222]

  • 6 credits
  • 37.5h+30h
  • 1st quarter
Language of instruction: French / Français

Learning outcomes

This course is a continuation of the Algebra course (part 1) of the first bachelor block in Computer Science. It uses the concepts seen in this first part (algebraic structures, vector spaces, linear applications and matrices). This second year course studies determinants, systems of linear equations, the eigenvalue problem, norm vector spaces and quadratic forms.

Objectives

This second year course studies determinants, systems of linear equations, the eigenvalue problem, normed vector spaces and quadratic forms. While being more oriented towards algorithms and numerical methods, this course aims to train students in the rigorous reasoning and precision required in Computer Science. It also prepares students for the operational mathematics courses in the master programme.

Content

This course introduces determinants and studies the solution of systems of linear equations, the eigenvalue problem, normed vector spaces (including the least squares problem) and quadratic forms.

Table of contents

Chapter 1: Determinants

Chapter 2: Systems of linear equations

Chapter 3: Eigenvalues and eigenvectors

Chapter 4: Normed vector spaces

Chapter 5: Quadratic Forms

Exercises description

Exercise sessions are given for 2h00 per week.


Prerequisites

Algèbre (1re partie) [INFOB123]

Teaching methods

The lecture is supplemented by exercise sessions given by an assistant. This course is given for 2 to 4 hours per week.

Evaluations

Formula: Two exams per session: an oral exam (theory) and a written exam (exercises), offered in January and August. The oral exam includes a demonstration question (from a list provided during the year), for which the student is given a copy of the syllabus by the teacher, and a knowledge question, prepared in closed-book format.

Modality: The teaching unit (TU) includes two learning activity assessments (LAA) per session: one on the theory covered in the course, the other on exercises. The TU will be considered as passed if the arithmetic average of the two marks obtained for each A.A. reaches at least 10/20 AND no A.A. assessment has a mark lower than 7/20. If the assessment of one of the A.A.'s has a mark lower than 7/20, the maximum mark awarded for the TU will be 9/20. During the same academic year, the student is exempted from repeating the assessment of one of the two A.A. if it is passed (10/20) and provided that he/she presented both parts the first time.

Recommended readings

Course syllabus and slides, completed during the class and made available after the class on WebCampus.

Language of instruction

French / Français

Location for course

NAMUR

Organizer

Faculté d'informatique
rue Grandgagnage 21
5000 NAMUR
P. 081725252
F. 081724967
secretariat.info@unamur.be

Degree of Reference

Undergraduate Degree