Course 2024-2025

Algebra (Part 1) [INFOB123]

  • 5 credits
  • 30h+22.5h
  • 2nd quarter
Language of instruction: French / Français

Learning outcomes

Beyond the mathematical tools it presents (algebraic structures, vector spaces, linear applications and matrices), this course trains students in the abstract manipulation, precision and rigorous reasoning that Computer Science requires. In particular, the emphasis is on the principles and mechanisms of proving results (theorems) deducible from the introduced tools, on understanding and on the mechanisms of reasoning.

Objectives

This course introduces the basic concepts of algebra, such as algebraic structures, vector spaces, linear applications and matrices. It thus lays the foundations for the Algebra course (Part 2), which is more oriented towards algorithms and numerical methods (solving systems of linear equations and calculating the eigenvalues of a matrix, among others).

Content

This course introduces in a first part the mathematical concepts of algebraic structure, vector space and linear application, to concretize them in a second part through matrices as a calculation tool.

Table of contents

Chapter 1: Algebraic Structures

Chapter 2: Vector spaces

Chapter 3: Linear applications

Chapter 4: Matrices

Exercises description

Exercise sessions are given for 1h30 per week.


Teaching methods

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

Evaluations

Formula: Two exams per session: an oral exam (theory) and a written exam (exercises), offered in June and August. Both parts of the examination are closed-book. The oral exam consists of a demonstration question (from a list provided during the year), a definition and five targeted questions on the understanding of concepts seen in the course. Students have time to prepare for the demonstration and definition questions.

Method: The teaching unit (TU) consists of two learning activity assessments (LAAs) per session: one on the theory covered in the course, the other on exercises. The TU will be considered as passed if the average of the two marks obtained for each A.A. reaches at least 10/20 AND no A.A. evaluation 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