5.00 credits
30.0 h + 30.0 h
Q2
Teacher(s)
Craeye Christophe; Vitale Enrico;
Language
French
Prerequisites
This course assumes that the student already masters the skills of end of secondary allowing to translate a problem into a system of equations with several variables and to solve it.
Main themes
The course focuses on :
- the understanding of mathematical tools and techniques based on a rigorous learning of concepts favored by highlighting their concrete application,
- the rigorous manipulation of these tools and techniques in the context of concrete applications.
- transposition,
- operation on matrices,
- rank and resolution of a linear system,
- inversion,
- determinant
- Matrix writing of a system of linear equations
- Basic operations on the lines
- Elimination of Gauss-Jordan
- LU Factoring
- Implementation of Linear Equation System Resolution Algorithms
- vectors, vector operations,
- vector spaces (vector, independence, base, dimension),
- linear applications (applications to transformations of the plan, kernel and image),
- eigenvectors and eigenvalues (including applications)
Learning outcomes
At the end of this learning unit, the student is able to : | |
| 1 |
Given the learning outcomes of the "Bachelor in Computer science" program, this course contributes to the development, acquisition and evaluation of the following learning outcomes:
|
Content
Matrix calculation
- transposition,
- matrix operation,
- rank, resolution of a linear system,
- inversion,
- determining
- Matrix writing of a system of linear equations
- Basic row operations
- Gauss-Jordan elimination
- Orthogonality and QR factorization
- Implementation in Python language of algorithms for solving systems of linear equations
- vectors, operations on vectors,
- vector spaces (vector, independence, basis, dimension), Euclidean space,
- linear applications (applications to plane, kernel and image transformations),
- eigenvectors and eigenvalues (including maps)
Teaching methods
The course is given in the form of lectures and practical work sessions.
The implementation assignments are supervised by the course assistants.
A partial, optional but dispensatory questioning takes place halfway through.
The implementation assignments are supervised by the course assistants.
A partial, optional but dispensatory questioning takes place halfway through.
Evaluation methods
Written exam and implementation assignments carried out during the semester (approximately 15% of the mark).
Teaching materials
- Syllabus
Faculty or entity
INFO
