Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|---|---|---|---|
UI-B1-IRCIVI-004-M | Compulsory UE | FORTEMPS Philippe | F151 - Mathématique et Recherche opérationnelle |
Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
---|---|---|---|---|---|---|---|---|---|
Français | 0 | 0 | 0 | 0 | 0 | 6 | 6 |
AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
---|---|---|---|---|---|---|---|---|
I-MARO-022 | 35% | |||||||
I-MARO-023 | 65% |
Objectives of general skills
- Understand the theoretical and methodological fundamentals in science and engineering to solve problems involving these disciplines
- Identify, describe and explain basic scientific and mathematical principles
- Select and rigorously apply knowledge, tools and methods in sciences and engineering to solve problems involving these disciplines
- Communicate in a structured way - both orally and in writing, in French and English - giving clear, accurate, reasoned information
- Argue to and persuade customers, teachers and a board both orally 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
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Mode of delivery
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Required Reading
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Required Learning Resources/Tools
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Recommended Reading
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Recommended Learning Resources/Tools
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Other Recommended Reading
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Term 1 Assessment - type
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Term 1 Assessment - comments
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Resit Assessment - Term 1 (B1BA1) - type
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Resit Assessment - Term 1 (B1BA1) - Comments
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Term 2 Assessment - type
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Term 2 Assessment - comments
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Term 3 Assessment - type
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |
Term 3 Assessment - comments
AA | |
---|---|
I-MARO-022 | |
I-MARO-023 |