Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|---|---|---|---|
UI-B1-IRCIVA-003-M | Compulsory UE | TUYTTENS Daniel | F151 - Mathématique et Recherche opérationnelle |
|
Language of instruction | Language of assessment | HT(*) | HE(*) | HTP(*) | HR(*) | HD(*) | Credits | Weighting | Term |
---|---|---|---|---|---|---|---|---|---|
| Français | 44 | 44 | 8 | 8.00 | 8.00 | 1st term |
AA Code | Teaching Activity (AA) | HT(*) | HE(*) | HTP(*) | HR(*) | HD(*) | Term | Weighting |
---|---|---|---|---|---|---|---|---|
I-MARO-020 | Algebra 1 | 20.00 | 20.00 | 4.00 | 50.00% | |||
I-MARO-021 | Analysis 1 | 24.00 | 24.00 | 4.00 | 50.00% |
Objectives of general skills
- Understand the theoretical and methodological fundamentals in arts, science, engineering and construction to solve problems involving these disciplines
- Identify, describe and explain the basic artistic, scientific and mathematical principles
- Select and thoroughly apply knowledge, methods and tools in arts, sciences, engineering sciences and construction to solve problems involving these disciplines
- Communicate in a structured way - visually, orally and in writing, in French and English - giving clear, accurate, reasoned information
- Argue to and persuade a project owner, teachers and a board orally, with visual aids and in writing
- Use several methods of written and graphic communication: text, tables, equations, sketches, maps, graphs, etc
UE's Learning outcomes
In Algebra 1 : recall, interpret and apply all the studied definitions and properties;
recall, explain, justify and formalize demonstrations;
manipulate the concepts of logic;Identify algebraic structures; handle complex numbers, polynomials and matrices;
solve systems of linear equations; build a basis of a vector space;
calculate the kernel and rank of a linear map;
perform a change of basis;
In Analysis 1 : recall, interpret and apply all the studied definitions and properties;
recall, explain, justify and formalize demonstrations;
manipulate the concepts of logic;
exploit theoretical results;
implement the functions from R to R and from Rn to Rm (limits, derivatives, extrema, Taylor series);
determine the antiderivative of a function from R to R;
decompose a rational function into partial fractions;
solve elementary differential equations.
UE Content
In Algebra 1: complex numbers; polynomials, matrices and systems of linear equations; vector spaces; linear maps;
In Analysis 1 : introduction to mathematical logic;
fonctions from R to R and from Rn to Rm;
limit and continuity in R and in Rn;
differentiability in R and in Rn;
Taylor series in R and in Rn;
extrema in R and in Rn;
antiderivatives and integrals in R;
elementary differential equations (separated variables, linear of the first order, Bernouilli, linear of order n with constant coefficients)
Prior experience
Sans objet
Type of Teaching Activity/Activities
A.A. | Type of Teaching Activity/Activities |
---|---|
I-MARO-020 |
|
I-MARO-021 |
|
Mode of delivery
A.A. | Mode of delivery |
---|---|
I-MARO-020 |
|
I-MARO-021 |
|
Required Reading
A.A. | Required Reading |
---|---|
I-MARO-020 | |
I-MARO-021 | Note de cours - Partie 1 - Mathématique pour l'Ingénieur 1 - Philippe Fortemps Note de cours - Partie 2 - Mathématique pour l'Ingénieur 2 - Philippe Fortemps Note de cours - Partie 3 - Mathématique pour l'Ingénieur 1 et 2 -- C1 - Philippe Fortemps et Nicole Vast |
Required Learning Resources/Tools
A.A. | Required Learning Resources/Tools |
---|---|
I-MARO-020 | Not applicable |
I-MARO-021 | Sans objet |
Recommended Reading
A.A. | Recommended Reading |
---|---|
I-MARO-020 | Note de cours - Mathématique pour l'Ingénieur : Algèbre Théorie - D. Tuyttens Notes d'exercices - Mathématique pour l'Ingénieur : Algèbre Exercices - N. Vast |
I-MARO-021 |
Recommended Learning Resources/Tools
A.A. | Recommended Learning Resources/Tools |
---|---|
I-MARO-020 | Sans objet |
I-MARO-021 | Sans objet |
Other Recommended Reading
A.A. | Other Recommended Reading |
---|---|
I-MARO-020 | Not applicable |
I-MARO-021 | Not applicable |
Term 1 Assessment - type
A.A. | Term 1 Assessment - type |
---|---|
I-MARO-020 |
|
I-MARO-021 |
|
Term 1 Assessment - comments
A.A. | Term 1 Assessment - comments |
---|---|
I-MARO-020 | Written examination on exercices (organized the same half-day as Analysis 1) : 45% Written theoretical examination (organized the same half-day as Analysis 1) : 45 % Continuous evaluation (e-tests, test of november, ....) : 10 % |
I-MARO-021 | Written exam on exercises (organized during the same half-day as the written exam of Algèbre 1), weight : 45% Oral exam on theory (organized during the same half-day as the oral exam of Algèbre 1), weight: 45% Continuous evaluation (e-tests, remediation test, ...): weight: 10%. |
Resit Assessment - Term 1 (B1BA1) - type
A.A. | Resit Assessment - Term 1 (B1BA1) - type |
---|---|
I-MARO-020 | |
I-MARO-021 |
|
Resit Assessment - Term 1 (B1BA1) - Comments
A.A. | Resit Assessment - Term 1 (B1BA1) - Comments |
---|---|
I-MARO-020 | Written examination covering both parts (Exercices : 50 % - Theory : 50 %).This examination is organized the same hal-day as Analysis 1. |
I-MARO-021 | Written examination covering both parts (theory - 50% and exercises - 50%), organized during the same half-day as the oral exam of Algèbre 1 |
Term 2 Assessment - type
A.A. | Term 2 Assessment - type |
---|---|
I-MARO-020 | |
I-MARO-021 |
|
Term 2 Assessment - comments
A.A. | Term 2 Assessment - comments |
---|---|
I-MARO-020 | Not applicable |
I-MARO-021 | Not applicable |
Term 3 Assessment - type
A.A. | Term 3 Assessment - type |
---|---|
I-MARO-020 | |
I-MARO-021 |
|
Term 3 Assessment - comments
A.A. | Term 3 Assessment - comments |
---|---|
I-MARO-020 | Written examination covering both parts (Exercices : 50 % - Theory : 50 %).This examination is organized the same hal-day as Analysis 1. |
I-MARO-021 | Written examination covering both parts (theory - 50% and exercises - 50%), organized during the same half-day as the oral exam of Algèbre 1 |