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| MATH0478-1 | Introduction to numerical methods
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| Duration : | 10h Th, 10h Pr |
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| Number of credits : |
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| Lecturer : | Quentin Louveaux |
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Language(s) of instruction :
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| French language |
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Course contents :
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| Numerical analysis is at the boundary between Mathematics and Computer Science. It consists in studying how to practically obtain in a computer different mathematical concepts studied in other courses.
This course gives a brief introduction on good ways to implement a numerical method.
The lecture is divided in four main chapters where the ideas of each topic are sketched:
- number representations in a computer
- interpolation
- Non-linear equations
- Ordinary differential equations |
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Learning outcomes of the course :
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| - representation of numbers in a computer and implications on the roundoff errors in floating point computing
- numerical methods for the resolution of nonlinear equations and ordinary differential equations
- basic concepts of the software matlab |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| High-school mathematics |
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Planned learning activities and teaching methods :
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| Five tutorials are organized, where the concepts from the theoretical lecture are put in practice. One of them consists in solving a small exercise in matlab. |
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Recommended or required readings :
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| Lecture notes are available at the Centrale des Cours. |
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Assessment methods and criteria :
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| An exam is organized.
It is split into an exercise part (75% of the final grade) and a theoretical part (25% of the final grade).
The matlab exercise accounts for 25% of the final grade. |
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Organizational remarks :
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| The theory part is common with the PROJ0001 lecture taught to the first year in engineering.
The exercise part is only taught in this course. There is neither a project nor matlab programming involved in this course. |
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