Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|---|---|---|---|
UI-B1-IRCIVA-004-M | Compulsory UE | FORTEMPS Philippe | F151 - Mathématique et Recherche opérationnelle |
|
Language of instruction | Language of assessment | HT(*) | HE(*) | HTP(*) | HR(*) | HD(*) | Credits | Weighting | Term |
---|---|---|---|---|---|---|---|---|---|
| Français | 32 | 32 | 8 | 6.00 | 6.00 | 2nd term |
AA Code | Teaching Activity (AA) | HT(*) | HE(*) | HTP(*) | HR(*) | HD(*) | Term | Weighting |
---|---|---|---|---|---|---|---|---|
I-MARO-022 | Algebra 2 | 10.00 | 10.00 | 4.00 | 33.33% | |||
I-MARO-023 | Analysis 2 | 22.00 | 22.00 | 4.00 | 66.67% |
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
Recall, interpret and apply all the studied definitions and properties; recall, explain, justify and formalize demonstrations; manipulate the concepts of logic; exploit theoretical results;
In Algebra: solve systems of linear equations; calculate a distance, a norm, a scalar product; orthogonalize a matrix; calculate the eigenvalues and eigenvectors of a matrix;
In Analysis: integrate functions from Rn to Rm (with or without change of variables); compute line and surface integrals (including the use of vector analysis theorems); use power series to solve differential equations.
UE Content
In Algebra: distances, norms and scalar products, orthogonal projections; eigenvalues and eigenvectors; properties of particular square matrices.
In Analysis: introduction to measure theory; multiple integrals (Fubini theorem, change of variables); line and surface integrals; vector analysis theorems (Green, Stokes and Ostrogradski); conservative fields; constrained optimization; numerical sequences and series; power series; power series for differential equations.
Prior experience
Sans objet
Type of Teaching Activity/Activities
A.A. | Type of Teaching Activity/Activities |
---|---|
I-MARO-022 |
|
I-MARO-023 |
|
Mode of delivery
A.A. | Mode of delivery |
---|---|
I-MARO-022 |
|
I-MARO-023 |
|
Required Reading
A.A. | Required Reading |
---|---|
I-MARO-022 | Note de cours - Mathématique pour l'Ingénieur : Algèbre Théorie - D. Tuyttens Notes d'exercices - Mathématique pour l'Ingénieur : Algèbre Exercices - N. Vast |
I-MARO-023 |
Required Learning Resources/Tools
A.A. | Required Learning Resources/Tools |
---|---|
I-MARO-022 | Not applicable |
I-MARO-023 | Not applicable |
Recommended Reading
A.A. | Recommended Reading |
---|---|
I-MARO-022 | |
I-MARO-023 | Note de cours - Mathématique pour l'Ingénieur 2 - Analyse 2 - Syllabus C2 - Philippe Fortemps & Nicole Vast |
Recommended Learning Resources/Tools
A.A. | Recommended Learning Resources/Tools |
---|---|
I-MARO-022 | Sans objet |
I-MARO-023 | Sans objet |
Other Recommended Reading
A.A. | Other Recommended Reading |
---|---|
I-MARO-022 | Not applicable |
I-MARO-023 | Not applicable |
Term 1 Assessment - type
A.A. | Term 1 Assessment - type |
---|---|
I-MARO-022 | |
I-MARO-023 |
|
Term 1 Assessment - comments
A.A. | Term 1 Assessment - comments |
---|---|
I-MARO-022 | Not applicable. |
I-MARO-023 | Not applicable |
Resit Assessment - Term 1 (B1BA1) - type
A.A. | Resit Assessment - Term 1 (B1BA1) - type |
---|---|
I-MARO-022 | |
I-MARO-023 |
|
Resit Assessment - Term 1 (B1BA1) - Comments
A.A. | Resit Assessment - Term 1 (B1BA1) - Comments |
---|---|
I-MARO-022 | Not applicable |
I-MARO-023 | Not applicable |
Term 2 Assessment - type
A.A. | Term 2 Assessment - type |
---|---|
I-MARO-022 |
|
I-MARO-023 |
|
Term 2 Assessment - comments
A.A. | Term 2 Assessment - comments |
---|---|
I-MARO-022 | Written examination covering both parts (Exercices : 45 % - Theory : 45 %).This examination is organized out of session.Continuous evaluation (e-tests, ...) : 10 % |
I-MARO-023 | A written exam, 50% for theory and 50% for exercises (including e-test) |
Term 3 Assessment - type
A.A. | Term 3 Assessment - type |
---|---|
I-MARO-022 | |
I-MARO-023 |
|
Term 3 Assessment - comments
A.A. | Term 3 Assessment - comments |
---|---|
I-MARO-022 | Written examination covering both parts (Exercices : 50 % - Theory : 50 %).This examination is organized the same hal-day as Analysis 2. |
I-MARO-023 | Written examination covering both parts (theory - 50% and exercises - 50%), organized during the same half-day as the oral exam of Algèbre 2 |