Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|---|---|---|---|
UI-B1-IRCIVI-003-M | Compulsory UE | TUYTTENS Daniel | 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 | 8 | 8 |
AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
---|---|---|---|---|---|---|---|---|
I-MARO-020 | 50% | |||||||
I-MARO-021 | 50% |
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
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
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Mode of delivery
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Required Reading
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Required Learning Resources/Tools
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Recommended Reading
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Recommended Learning Resources/Tools
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Other Recommended Reading
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Term 1 Assessment - type
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Term 1 Assessment - comments
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Resit Assessment - Term 1 (B1BA1) - type
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Resit Assessment - Term 1 (B1BA1) - Comments
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Term 2 Assessment - type
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Term 2 Assessment - comments
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Term 3 Assessment - type
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |
Term 3 Assessment - comments
AA | |
---|---|
I-MARO-020 | |
I-MARO-021 |